Investigating Closeness in a MOOC-Ed discussion group

Working on this one

Jeanne McClure
2022-04-03

1 Load Packages

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2 Wrangle Data

Import edges:
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dlt1_ties <- read_csv("~/r-projects/mccluredistill/_posts/2022-04-03-closeness-betweeness-socialnetworking/data/dlt1-edges.csv", 
                      col_types = cols(Sender = col_character(), 
                                       Receiver = col_character(), 
                                       `Category Text` = col_skip(), 
                                       `Comment ID` = col_character(), 
                                       `Discussion ID` = col_character())) |>
  clean_names()

dlt1_ties
# A tibble: 2,529 x 9
   sender receiver timestamp    discussion_title      discussion_cate~
   <chr>  <chr>    <chr>        <chr>                 <chr>           
 1 360    444      4/4/13 16:32 Most important chang~ Group N         
 2 356    444      4/4/13 18:45 Most important chang~ Group D-L       
 3 356    444      4/4/13 18:47 DLT Resources—Commen~ Group D-L       
 4 344    444      4/4/13 18:55 Most important chang~ Group O-T       
 5 392    444      4/4/13 19:13 Most important chang~ Group U-Z       
 6 219    444      4/4/13 19:16 Most important chang~ Group M         
 7 318    444      4/4/13 19:26 Most important chang~ Group M         
 8 4      444      4/4/13 19:44 Most important chang~ Group N         
 9 355    356      4/4/13 20:12 DLT Resources—Commen~ Group D-L       
10 355    444      4/4/13 20:13 Most important chang~ Group D-L       
# ... with 2,519 more rows, and 4 more variables:
#   parent_category <chr>, discussion_identifier <chr>,
#   comment_id <chr>, discussion_id <chr>

Add node attributes:

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dlt1_actors <- read_csv("data/dlt1-nodes.csv", 
                        col_types = cols(UID = col_character(), 
                                       Facilitator = col_character(), 
                                       `expert` = col_character(), 
                                       `connect` = col_character())) |>
  clean_names()

dlt1_actors
# A tibble: 445 x 13
   uid   facilitator role1      experience experience2 grades location
   <chr> <chr>       <chr>           <dbl> <chr>       <chr>  <chr>   
 1 1     0           libmedia            1 6 to 10     secon~ VA      
 2 2     0           classteac~          1 6 to 10     secon~ FL      
 3 3     0           districta~          2 11 to 20    gener~ PA      
 4 4     0           classteac~          2 11 to 20    middle NC      
 5 5     0           otheredpr~          3 20+         gener~ AL      
 6 6     0           classteac~          1 4 to 5      gener~ AL      
 7 7     0           instructi~          2 11 to 20    gener~ SD      
 8 8     0           specialed           1 6 to 10     secon~ BE      
 9 9     0           classteac~          1 6 to 10     middle NC      
10 10    0           schooladm~          2 11 to 20    middle NC      
# ... with 435 more rows, and 6 more variables: region <chr>,
#   country <chr>, group <chr>, gender <chr>, expert <chr>,
#   connect <chr>

codebook descriptors. The first one has been done as an example.

2b. Create Network Object and convert to graph object

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dlt1_network <- tbl_graph(edges = dlt1_ties,
                          nodes = dlt1_actors,
                          node_key = "uid",
                          directed = TRUE)
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# create dlt2

dlt2_ties <- read_csv("data/dlt2-edges.csv", 
                      col_types = cols(Sender = col_character(), 
                                       Reciever = col_character(), 
                                       `Category` = col_skip(), 
                                       `CommentID` = col_character(), 
                                       `DiscussionID` = col_character())) |>
  clean_names()

dlt2_actors <- read_csv("data/dlt2-nodes.csv", 
                      col_types = cols(uid = col_character(), 
                                       facilitator = col_character(), 
                                       `expert` = col_character(), 
                                       `connect` = col_character())) |>
  clean_names()

dlt2_network <- tbl_graph(edges = dlt2_ties,
                          nodes = dlt2_actors,
                          node_key = "uid",
                          directed = TRUE)
Inspect the networks
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dlt1_network
# A tbl_graph: 445 nodes and 2529 edges
#
# A directed multigraph with 4 components
#
# Node Data: 445 x 13 (active)
  uid   facilitator role1 experience experience2 grades location
  <chr> <chr>       <chr>      <dbl> <chr>       <chr>  <chr>   
1 1     0           libm~          1 6 to 10     secon~ VA      
2 2     0           clas~          1 6 to 10     secon~ FL      
3 3     0           dist~          2 11 to 20    gener~ PA      
4 4     0           clas~          2 11 to 20    middle NC      
5 5     0           othe~          3 20+         gener~ AL      
6 6     0           clas~          1 4 to 5      gener~ AL      
# ... with 439 more rows, and 6 more variables: region <chr>,
#   country <chr>, group <chr>, gender <chr>, expert <chr>,
#   connect <chr>
#
# Edge Data: 2,529 x 9
   from    to timestamp discussion_title discussion_cate~
  <int> <int> <chr>     <chr>            <chr>           
1   360   444 4/4/13 1~ Most important ~ Group N         
2   356   444 4/4/13 1~ Most important ~ Group D-L       
3   356   444 4/4/13 1~ DLT Resources—C~ Group D-L       
# ... with 2,526 more rows, and 4 more variables:
#   parent_category <chr>, discussion_identifier <chr>,
#   comment_id <chr>, discussion_id <chr>
Show code
dlt2_network
# A tbl_graph: 492 nodes and 2584 edges
#
# A directed multigraph with 69 components
#
# Node Data: 492 x 13 (active)
  uid   facilitator role  experience2 experience grades location
  <chr> <chr>       <chr>       <dbl>      <dbl> <chr>  <chr>   
1 1     0           curr~           2         17 gener~ IN      
2 2     0           other           1          3 prima~ NC      
3 3     0           inst~           2         20 gener~ US      
4 4     0           inst~           2         12 middle TX      
5 5     0           other           1          0 gener~ CAN     
6 6     0           inst~           1          7 gener~ CAN     
# ... with 486 more rows, and 6 more variables: region <chr>,
#   country <chr>, group <chr>, gender <chr>, expert <chr>,
#   connect <chr>
#
# Edge Data: 2,584 x 8
   from    to timestamp title parent description comment_id
  <int> <int> <chr>     <chr> <chr>  <chr>       <chr>     
1    37   461 9/27/13   Gree~ Group~ Please int~ 3         
2   434   434 9/27/13   Sher~ Group~ Please int~ 4         
3   302   434 9/27/13   Sher~ Group~ Please int~ 5         
# ... with 2,581 more rows, and 1 more variable: discussion_id <chr>

3. Explore

Let’s first take a quick look at the summaries for “weak” components in our network: There are 4 components as we discovered above, 1 component has 442 members and three (our isolates) have only 1 member.

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components(dlt1_network, mode = c("weak"))
$membership
  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
 [33] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
 [65] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
 [97] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[129] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[161] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[193] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[225] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[257] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[289] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[321] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[353] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[385] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
[417] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 1 1

$csize
[1] 442   1   1   1

$no
[1] 4

Now let’s inspect the strong components: WOW, you’ll see that we have a total of 209 distinct components!

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components(dlt1_network, mode = c("strong"))
$membership
  [1] 194 194 194 194 194 194 194 194 194 194 194 194 194 194 194 194
 [17] 194 193 194 194 203 194 209 194 194 194 194 192 194 194 191 194
 [33] 194 194 194 194 194 194 194 190 194 194 194 194 194 194 189 194
 [49] 194 194 194 194 194 194 188 194 194 194 194 194 194 194 194 194
 [65] 194 194 194 194 194 194 194 194 187 194 194 194 194 194 186 194
 [81] 194 194 194 208 194 185 194 194 184 194 194 194 183 194 181 180
 [97] 178 194 194 194 194 177 194 194 194 194 194 176 194 194 175 194
[113] 194 194 194 194 194 194 194 174 194 194 169 168 167 166 165 194
[129] 194 164 194 194 194 163 162 194 194 194 161 159 194 194 158 194
[145] 173 182 157 156 155 172 171 194 206 194 194 194 194 194 194 154
[161] 194 194 194 153 194 152 194 151 150 194 149 194 194 148 202 194
[177] 194 194 147 146 194 201 194 194 194 145 195 194 198 194 194 194
[193] 194 194 194 144 194 194 194 194 194 143 194 142 194 194 194 194
[209] 194 141 194 194 140 139 138 194 194 194 194 137 194 194 194 136
[225] 135 194 194 134 133 131 130 129 128 204 194 127 126 125 160 124
[241] 123 122 194 121 119 194 194 194 194 194 194 194 194 194 118 194
[257] 194 179 117 115 116 194 120 114 194 194 113 194 112 194 194 194
[273] 199 111 194 194 194 110 194 109 194 108 106 107 194 200 194 105
[289] 104 103 102 194 194 101 194 100  99  98  97 194 194 194 194  96
[305] 194 197 194 207  95 194  94  93  92  91  90  89 194 194 194  88
[321] 194 194 194 205 194  87  86  85 194 170 194  84  83 196 194 194
[337] 194 194 194 194 194 194 194 132 194 194 194  82  81 194 194  80
[353]  79  78 194 194  77 194  76  75 194  74  73  72  71  70  69  68
[369]  67  66  65  64  63  62  61  60  59  58  57  56  55  54  53  52
[385]  51  50  49  48  47  46  45  44  43  42  41  40  39  38  37  36
[401]  35  34  33  32  31  30  29  28  27  26  25  24 194  23  22  21
[417]  20  19  18  17  16 194  15  14  13  12  11  10   9   8   7 194
[433] 194 194   6   5 194 194 194   4   3   2   1 194 194

$csize
  [1]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
 [17]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
 [33]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
 [49]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
 [65]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
 [81]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
 [97]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[113]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[129]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[145]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[161]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[177]   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[193]   1 237   1   1   1   1   1   1   1   1   1   1   1   1   1   1
[209]   1

$no
[1] 209

If we wanted to illustrate this with a sociogram, we could create a new edge variable using the same activate() and mutate() functions and filter() our edges so our graph only contains reciprocated ties, like so:

Show code
dlt1_network |>
  activate(edges) |>
  mutate( reciprocated = edge_is_mutual()) |> 
  filter(reciprocated == TRUE) |>
  autograph()

Or we could filter out all isolates in our strong component network entirely using the same activate() and filter() functions:
Show code
dlt1_network <- dlt1_network |>
  activate(nodes) |>
  mutate(strong_component = group_components(type = "strong"))
Show code
dlt1_network |>
  activate(nodes) |>
  filter(strong_component == 1) |>
  autograph()

Compositional and Variance Measures To quickly calculate summary statistics for our nodes, including compositional and variance measures for our egocentric measures, we can use the skim() function from the {skimr} package to take a quick look at the variables in our node list:

Show code
dlt1_network |> 
  as_tibble() |>
  skim()
Table 1: Data summary
Name as_tibble(dlt1_network)
Number of rows 445
Number of columns 14
_______________________
Column type frequency:
character 12
numeric 2
________________________
Group variables None

Variable type: character

skim_variable n_missing complete_rate min max empty n_unique whitespace
uid 0 1 1 3 0 445 0
facilitator 0 1 1 1 0 2 0
role1 0 1 4 18 0 13 0
experience2 0 1 3 8 0 6 0
grades 0 1 4 10 0 8 0
location 0 1 2 4 0 62 0
region 0 1 4 13 0 6 0
country 0 1 2 4 0 21 0
group 0 1 1 4 0 7 0
gender 0 1 4 6 0 3 0
expert 0 1 1 4 0 3 0
connect 0 1 1 4 0 3 0

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
experience 0 1 2.13 0.80 1 1 2 3 3 ▆▁▇▁▇
strong_component 0 1 49.84 66.43 1 1 1 98 209 ▇▁▁▁▁

Create in a tibble and convert our node to a table and arrange() in descending order by size to make it easier to see the range in values of our network:

Show code
dlt1_network <- dlt1_network |>
  activate(nodes) |>
  mutate(size = local_size())

dlt1_network |> 
  as_tibble() |>
  arrange(desc(size)) |> 
  select(uid, facilitator, size)
# A tibble: 445 x 3
   uid   facilitator  size
   <chr> <chr>       <dbl>
 1 444   1             295
 2 445   1             160
 3 44    0              61
 4 11    0              51
 5 7     0              42
 6 30    0              42
 7 19    0              39
 8 60    0              39
 9 36    0              37
10 432   0              36
# ... with 435 more rows
let’s select only MOOC-Ed participants who are located in the United States and calculate compositional and variance measures for size by educator’s role:
Show code
dlt1_network |> 
  as_tibble() |>
  filter(country == "US") |>
  group_by(role1) |>
  select(size) |>
  skim()
(#tab:size_role)Data summary
Name select(…)
Number of rows 412
Number of columns 2
_______________________
Column type frequency:
numeric 1
________________________
Group variables role1

Variable type: numeric

skim_variable role1 n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
size classteaching 0 1 8.97 8.22 2 3.00 6.0 12.00 39 ▇▂▁▁▁
size curriculum 0 1 7.70 7.22 2 2.50 5.0 8.50 24 ▇▁▁▁▂
size districtadmin 0 1 5.50 4.74 1 2.00 3.5 7.00 22 ▇▂▁▁▁
size instructionaltech 0 1 7.46 9.38 1 2.00 4.0 7.75 61 ▇▁▁▁▁
size libmedia 0 1 9.91 9.91 1 2.00 6.0 15.00 33 ▇▂▁▁▁
size Operations 0 1 3.00 NA 3 3.00 3.0 3.00 3 ▁▁▇▁▁
size other 0 1 8.25 8.10 2 2.00 6.0 12.25 19 ▇▁▃▁▃
size otheredprof 0 1 18.95 53.48 2 3.00 4.0 9.00 295 ▇▁▁▁▁
size profdev 0 1 5.71 4.44 2 2.00 4.0 7.50 21 ▇▂▂▁▁
size schooladmin 0 1 9.40 9.10 2 3.25 5.5 13.50 42 ▇▂▁▁▁
size specialed 0 1 12.00 6.63 2 11.00 11.0 17.00 19 ▃▁▇▁▇
size techinfrastructure 0 1 5.44 3.22 2 3.00 4.5 7.00 14 ▇▂▃▁▁

Find degree Run the following create two new variables for our nodes: in_dgree and out_degree. We’ll set the mode = argument in centrality_degree() function to "in" and "out" respectively.

Show code
dlt1_network <- dlt1_network |>
  activate(nodes) |>
  mutate(in_degree = centrality_degree(mode = "in"),
         out_degree = centrality_degree(mode = "out"))
  
dlt1_network |> 
  as_tibble()
# A tibble: 445 x 17
   uid   facilitator role1      experience experience2 grades location
   <chr> <chr>       <chr>           <dbl> <chr>       <chr>  <chr>   
 1 1     0           libmedia            1 6 to 10     secon~ VA      
 2 2     0           classteac~          1 6 to 10     secon~ FL      
 3 3     0           districta~          2 11 to 20    gener~ PA      
 4 4     0           classteac~          2 11 to 20    middle NC      
 5 5     0           otheredpr~          3 20+         gener~ AL      
 6 6     0           classteac~          1 4 to 5      gener~ AL      
 7 7     0           instructi~          2 11 to 20    gener~ SD      
 8 8     0           specialed           1 6 to 10     secon~ BE      
 9 9     0           classteac~          1 6 to 10     middle NC      
10 10    0           schooladm~          2 11 to 20    middle NC      
# ... with 435 more rows, and 10 more variables: region <chr>,
#   country <chr>, group <chr>, gender <chr>, expert <chr>,
#   connect <chr>, strong_component <int>, size <dbl>,
#   in_degree <dbl>, out_degree <dbl>

Use the code chunk below to add a closeness and betweenness variable to the nodes in our network

Show code
dlt1_undirected <-  to_undirected(dlt1_network)

set.seed(123)
dlt1_stats <- dlt1_undirected %>% 
  activate(nodes)%>%
  mutate(community = as.factor(group_louvain())) %>%
  mutate(degree_c = centrality_degree()) %>%
  mutate(betweenness_c = centrality_betweenness(directed = FALSE ,normalized = TRUE)) %>%
  mutate(closeness_c = centrality_closeness(normalized = TRUE))

  

dltl_stats_ego <- as.data.frame(dlt1_stats)  
dltl_stats_ego
    uid facilitator              role1 experience experience2
1     1           0           libmedia          1     6 to 10
2     2           0      classteaching          1     6 to 10
3     3           0      districtadmin          2    11 to 20
4     4           0      classteaching          2    11 to 20
5     5           0        otheredprof          3         20+
6     6           0      classteaching          1      4 to 5
7     7           0  instructionaltech          2    11 to 20
8     8           0          specialed          1     6 to 10
9     9           0      classteaching          1     6 to 10
10   10           0        schooladmin          2    11 to 20
11   11           0              other          3         20+
12   12           0      classteaching          3         20+
13   13           0      classteaching          2    11 to 20
14   14           0              other          1      0 to 3
15   15           0        schooladmin          3         20+
16   16           0        otheredprof          1      0 to 3
17   17           0           libmedia          1      0 to 3
18   18           0          specialed          1      4 to 5
19   19           0        otheredprof          3         20+
20   20           0      districtadmin          1      0 to 3
21   21           0        otheredprof          1      0 to 3
22   22           0        schooladmin          1     6 to 10
23   23           0           libmedia          3         20+
24   24           0  instructionaltech          2    11 to 20
25   25           0  instructionaltech          2    11 to 20
26   26           0        otheredprof          3         20+
27   27           0        otheredprof          1      0 to 3
28   28           0            profdev          3         20+
29   29           0        schooladmin          2    11 to 20
30   30           0        schooladmin          3         20+
31   31           0      classteaching          1      4 to 5
32   32           0            profdev          1     6 to 10
33   33           0  instructionaltech          3         20+
34   34           0         curriculum          3         20+
35   35           0         curriculum          2    11 to 20
36   36           0      classteaching          2    11 to 20
37   37           0         curriculum          2    11 to 20
38   38           0      classteaching          1     6 to 10
39   39           0      classteaching          2    11 to 20
40   40           0      districtadmin          3         20+
41   41           0  instructionaltech          1     6 to 10
42   42           0         curriculum          3         20+
43   43           0            profdev          3         20+
44   44           0  instructionaltech          2    11 to 20
45   45           0      districtadmin          2    11 to 20
46   46           0      classteaching          2    11 to 20
47   47           0            profdev          3         20+
48   48           0        schooladmin          3         20+
49   49           0           libmedia          3         20+
50   50           0        schooladmin          3         20+
51   51           0        schooladmin          3         20+
52   52           0        schooladmin          3         20+
53   53           0  instructionaltech          3         20+
54   54           0        otheredprof          2    11 to 20
55   55           0  instructionaltech          1      4 to 5
56   56           0      districtadmin          3         20+
57   57           0         curriculum          3         20+
58   58           0  instructionaltech          2    11 to 20
59   59           0           libmedia          1      0 to 3
60   60           0      classteaching          2    11 to 20
61   61           0        schooladmin          3         20+
62   62           0      classteaching          1      0 to 3
63   63           0          specialed          1     6 to 10
64   64           0  instructionaltech          2    11 to 20
65   65           0           libmedia          2    11 to 20
66   66           0  instructionaltech          2    11 to 20
67   67           0           libmedia          3         20+
68   68           0           libmedia          3         20+
69   69           0            profdev          3         20+
70   70           0        schooladmin          1     6 to 10
71   71           0      districtadmin          3         20+
72   72           0  instructionaltech          2    11 to 20
73   73           0      districtadmin          3         20+
74   74           0        schooladmin          3         20+
75   75           0      classteaching          3         20+
76   76           0         curriculum          3         20+
77   77           0            profdev          2    11 to 20
78   78           0        schooladmin          3         20+
79   79           0            profdev          1      4 to 5
80   80           0      classteaching          2    11 to 20
81   81           0      classteaching          3         20+
82   82           0      classteaching          1     6 to 10
83   83           0      classteaching          3         20+
84   84           0         curriculum          1     6 to 10
85   85           0      classteaching          1     6 to 10
86   86           0        schooladmin          3         20+
87   87           0           libmedia          2    11 to 20
88   88           0      classteaching          1      0 to 3
89   89           0            profdev          3         20+
90   90           0        otheredprof          3         20+
91   91           0  instructionaltech          2    11 to 20
92   92           0         curriculum          3         20+
93   93           0      classteaching          1     6 to 10
94   94           0      classteaching          1     6 to 10
95   95           0  instructionaltech          1     6 to 10
96   96           0  instructionaltech          2    11 to 20
97   97           0           libmedia          1     6 to 10
98   98           0      classteaching          2    11 to 20
99   99           0  instructionaltech          3         20+
100 100           0  instructionaltech          2    11 to 20
101 101           0  instructionaltech          1      4 to 5
102 102           0      classteaching          3         20+
103 103           0      classteaching          2    11 to 20
104 104           0      classteaching          3         20+
105 105           0 techinfrastructure          2    11 to 20
106 106           0      districtadmin          3         20+
107 107           0  instructionaltech          2    11 to 20
108 108           0      classteaching          1      4 to 5
109 109           0  instructionaltech          3         20+
110 110           0  instructionaltech          1      4 to 5
111 111           0      districtadmin          2    11 to 20
112 112           0      districtadmin          2    11 to 20
113 113           0        schooladmin          2    11 to 20
114 114           0            profdev          2    11 to 20
115 115           0        schooladmin          2    11 to 20
116 116           0      classteaching          3         20+
117 117           0         curriculum          1     6 to 10
118 118           0      classteaching          1     6 to 10
119 119           0           libmedia          2    11 to 20
120 120           0  instructionaltech          3         20+
121 121           0  instructionaltech          2    11 to 20
122 122           0        otheredprof          3         20+
123 123           0         curriculum          2    11 to 20
124 124           0  instructionaltech          2    11 to 20
125 125           0  instructionaltech          3         20+
126 126           0 techinfrastructure          2    11 to 20
127 127           0 techinfrastructure          2    11 to 20
128 128           0         curriculum          1     6 to 10
129 129           0  instructionaltech          2    11 to 20
130 130           0        otheredprof          3         20+
131 131           0            profdev          2    11 to 20
132 132           0  instructionaltech          1     6 to 10
133 133           0 techinfrastructure          3         20+
134 134           0      classteaching          1     6 to 10
135 135           0        otheredprof          1      0 to 3
136 136           0      districtadmin          3         20+
137 137           0      districtadmin          3         20+
138 138           0            profdev          2    11 to 20
139 139           0  instructionaltech          2    11 to 20
140 140           0        otheredprof          3         20+
141 141           0  instructionaltech          3         20+
142 142           0            profdev          2    11 to 20
143 143           0  instructionaltech          2    11 to 20
144 144           0      districtadmin          2    11 to 20
145 145           0      classteaching          1     6 to 10
146 146           0        otheredprof          1     6 to 10
147 147           0      classteaching          2    11 to 20
148 148           0      districtadmin          2         20+
149 149           0  instructionaltech          1     6 to 10
150 150           0            profdev          1     6 to 10
151 151           0 techinfrastructure          2    11 to 20
152 152           0        otheredprof          2    11 to 20
153 153           0        schooladmin          1     6 to 10
154 154           0  instructionaltech          3         20+
155 155           0  instructionaltech          3         20+
156 156           0        otheredprof          3         20+
157 157           0      classteaching          1      4 to 5
158 158           0           libmedia          3         20+
159 159           0  instructionaltech          2    11 to 20
160 160           0         curriculum          3         20+
161 161           0  instructionaltech          3         20+
162 162           0        schooladmin          3         20+
163 163           0              other          1      0 to 3
164 164           0        schooladmin          2    11 to 20
165 165           0            profdev          3         20+
166 166           0 techinfrastructure          1      0 to 3
167 167           0  instructionaltech          3         20+
168 168           0  instructionaltech          3         20+
169 169           0  instructionaltech          3         20+
170 170           0 techinfrastructure          1     6 to 10
171 171           0      classteaching          2    11 to 20
172 172           0        otheredprof          2    11 to 20
173 173           0        schooladmin          2    11 to 20
174 174           0        schooladmin          2    11 to 20
175 175           0         curriculum          3         20+
176 176           0 techinfrastructure          2    11 to 20
177 177           0      districtadmin          2    11 to 20
178 178           0      districtadmin          2    11 to 20
179 179           0  instructionaltech          2    11 to 20
180 180           0        otheredprof          3         20+
181 181           0 techinfrastructure          1     6 to 10
182 182           0        otheredprof          1     6 to 10
183 183           0      districtadmin          2    11 to 20
184 184           0      classteaching          1     6 to 10
185 185           0      classteaching          2    11 to 20
186 186           0 techinfrastructure          1      4 to 5
187 187           0 techinfrastructure          2    11 to 20
188 188           0      classteaching          3         20+
189 189           0        schooladmin          3         20+
190 190           0           libmedia          1      4 to 5
191 191           0      classteaching          3         20+
192 192           0      classteaching          3         20+
193 193           0  instructionaltech          2    11 to 20
194 194           0  instructionaltech          3         20+
195 195           0      districtadmin          3         20+
196 196           0        otheredprof          1      0 to 3
197 197           0      districtadmin          3         20+
198 198           0           libmedia          2    11 to 20
199 199           0        schooladmin          3         20+
200 200           0        schooladmin          2    11 to 20
201 201           0      classteaching          1     6 to 10
202 202           0  instructionaltech          2    11 to 20
203 203           0            profdev          3         20+
204 204           0  instructionaltech          2    11 to 20
205 205           0        otheredprof          1      0 to 3
206 206           0         curriculum          2    11 to 20
207 207           0  instructionaltech          1      0 to 3
208 208           0        otheredprof          2    11 to 20
209 209           0        schooladmin          3         20+
210 210           0         Operations          2     6 to 10
211 211           0        otheredprof          2    11 to 20
212 212           0        schooladmin          3         20+
213 213           0  instructionaltech          2    11 to 20
214 214           0            profdev          1     6 to 10
215 215           0      classteaching          1     6 to 10
216 216           0        schooladmin          3         20+
217 217           0        otheredprof          3         20+
218 218           0        otheredprof          1     6 to 10
219 219           0         curriculum          3         20+
220 220           0            profdev          3         20+
221 221           0          specialed          1     6 to 10
222 222           0        otheredprof          3         20+
223 223           0         curriculum          2    11 to 20
224 224           0  instructionaltech          3         20+
225 225           0        otheredprof          3         20+
226 226           0 techinfrastructure          3         20+
227 227           0      classteaching          2    11 to 20
228 228           0        otheredprof          1      0 to 3
229 229           0  instructionaltech          2    11 to 20
230 230           0      districtadmin          3         20+
231 231           0      districtadmin          3         20+
232 232           0           libmedia          3         20+
233 233           0        otheredprof          2    11 to 20
234 234           0  instructionaltech          3         20+
235 235           0            profdev          2    11 to 20
236 236           0      classteaching          1     6 to 10
237 237           0  instructionaltech          2    11 to 20
238 238           0  instructionaltech          1      4 to 5
239 239           0  instructionaltech          1     6 to 10
240 240           0        schooladmin          1     6 to 10
241 241           0      classteaching          1      4 to 5
242 242           0        otheredprof          1      4 to 5
243 243           0  instructionaltech          1     6 to 10
244 244           0            profdev          3         20+
245 245           0            profdev          1      0 to 3
246 246           0  instructionaltech          3         20+
247 247           0      classteaching          2    11 to 20
248 248           0 techinfrastructure          1      0 to 3
249 249           0  instructionaltech          2    11 to 20
250 250           0  instructionaltech          2    11 to 20
251 251           0  instructionaltech          2    11 to 20
252 252           0        schooladmin          2    11 to 20
253 253           0  instructionaltech          3         20+
254 254           0      classteaching          3         20+
255 255           0  instructionaltech          2    11 to 20
256 256           0  instructionaltech          3         20+
257 257           0        otheredprof          3         20+
258 258           0        schooladmin          3         20+
259 259           0      classteaching          3         20+
260 260           0      classteaching          3         20+
261 261           0  instructionaltech          2    11 to 20
262 262           0      classteaching          3         20+
263 263           0              other          2    11 to 20
264 264           0            profdev          2    11 to 20
265 265           0      districtadmin          3         20+
266 266           0      classteaching          1     6 to 10
267 267           0      districtadmin          3         20+
268 268           0  instructionaltech          1     6 to 10
269 269           0  instructionaltech          3         20+
270 270           0      classteaching          1     6 to 10
271 271           0        schooladmin          2    11 to 20
272 272           0      classteaching          3         20+
273 273           0  instructionaltech          3         20+
274 274           0  instructionaltech          3         20+
275 275           0 techinfrastructure          1      0 to 3
276 276           0 techinfrastructure          3         20+
277 277           0  instructionaltech          3         20+
278 278           0        otheredprof          2    11 to 20
279 279           0          specialed          3         20+
280 280           0      districtadmin          3         20+
281 281           0        schooladmin          3         20+
282 282           0      classteaching          1      4 to 5
283 283           0           libmedia          2    11 to 20
284 284           0  instructionaltech          1     6 to 10
285 285           0      classteaching          1      0 to 3
286 286           0      districtadmin          3         20+
287 287           0      districtadmin          1     6 to 10
288 288           0      classteaching          1      4 to 5
289 289           0        schooladmin          2    11 to 20
290 290           0  instructionaltech          3         20+
291 291           0  instructionaltech          1     6 to 10
292 292           0      classteaching          1      0 to 3
293 293           0  instructionaltech          3         20+
294 294           0              other          3         20+
295 295           0      classteaching          1     6 to 10
296 296           0  instructionaltech          3         20+
297 297           0        schooladmin          3         20+
298 298           0  instructionaltech          3         20+
299 299           0      districtadmin          3         20+
300 300           0        schooladmin          2    11 to 20
301 301           0           libmedia          2    11 to 20
302 302           0      classteaching          3         20+
303 303           0      classteaching          3         20+
304 304           0  instructionaltech          1     6 to 10
305 305           0  instructionaltech          3         20+
306 306           0  instructionaltech          1     6 to 10
307 307           0         curriculum          2    11 to 20
308 308           0      classteaching          1      4 to 5
309 309           0      classteaching          1      4 to 5
310 310           0  instructionaltech          2    11 to 20
311 311           0      districtadmin          2    11 to 20
312 312           0      districtadmin          2    11 to 20
313 313           0      classteaching          2    11 to 20
314 314           0  instructionaltech          2    11 to 20
315 315           0           libmedia          3         20+
316 316           0      classteaching          3         20+
317 317           0        otheredprof          3         20+
318 318           0      classteaching          2    11 to 20
319 319           0      districtadmin          2    11 to 20
320 320           0      districtadmin          3         20+
321 321           0        schooladmin          2    11 to 20
322 322           0        schooladmin          1     6 to 10
323 323           0      classteaching          1     6 to 10
324 324           0        schooladmin          3         20+
325 325           0      districtadmin          2    11 to 20
326 326           0        otheredprof          3         20+
327 327           0      classteaching          1     6 to 10
328 328           0  instructionaltech          3         20+
329 329           0 techinfrastructure          2    11 to 20
330 330           0        otheredprof          3         20+
331 331           0         curriculum          2    11 to 20
332 332           0  instructionaltech          1     6 to 10
333 333           0            profdev          1     6 to 10
334 334           0        schooladmin          3         20+
335 335           0  instructionaltech          3         20+
336 336           0  instructionaltech          2    11 to 20
337 337           0            profdev          3         20+
338 338           0        otheredprof          3         20+
339 339           0      classteaching          3         20+
340 340           0      districtadmin          3         20+
341 341           0      classteaching          3         20+
342 342           0        schooladmin          3         20+
343 343           0      classteaching          1      4 to 5
344 344           0  instructionaltech          3         20+
345 345           0  instructionaltech          3         20+
346 346           0  instructionaltech          1     6 to 10
347 347           0  instructionaltech          2    11 to 20
348 348           0        schooladmin          3         20+
349 349           0  instructionaltech          1      0 to 3
350 350           0        schooladmin          2    11 to 20
351 351           0  instructionaltech          2    11 to 20
352 352           0      districtadmin          1     6 to 10
353 353           0           libmedia          1     6 to 10
354 354           0      classteaching          2    11 to 20
355 355           0        schooladmin          2    11 to 20
356 356           0  instructionaltech          2    11 to 20
357 357           0      classteaching          3         20+
358 358           0        schooladmin          3         20+
359 359           0  instructionaltech          3         20+
360 360           0  instructionaltech          1      0 to 3
361 361           0            profdev          3         20+
362 362           0  instructionaltech          2    11 to 20
363 363           0         curriculum          3         20+
364 364           0        otheredprof          3         20+
365 365           0           libmedia          2    11 to 20
366 366           0            profdev          2    11 to 20
367 367           0            profdev          1      0 to 3
368 368           0  instructionaltech          2    11 to 20
369 369           0        otheredprof          3         20+
370 370           0        otheredprof          3         20+
371 371           0  instructionaltech          2    11 to 20
372 372           0  instructionaltech          3         20+
373 373           0  instructionaltech          1     6 to 10
374 374           0      classteaching          2    11 to 20
375 375           0  instructionaltech          3         20+
376 376           0      classteaching          2    11 to 20
377 377           0  instructionaltech          2    11 to 20
378 378           0      districtadmin          1     6 to 10
379 379           0        otheredprof          2    11 to 20
380 380           0      districtadmin          3         20+
381 381           0        schooladmin          2    11 to 20
382 382           0         curriculum          2    11 to 20
383 383           0      districtadmin          3         20+
384 384           0  instructionaltech          2    11 to 20
385 385           0      districtadmin          3         20+
386 386           0  instructionaltech          2    11 to 20
387 387           0  instructionaltech          3         20+
388 388           0  instructionaltech          2    11 to 20
389 389           0         curriculum          3         20+
390 390           0           libmedia          1     6 to 10
391 391           0         curriculum          3         20+
392 392           0 techinfrastructure          3         20+
393 393           0  instructionaltech          2    11 to 20
394 394           0  instructionaltech          1     6 to 10
395 395           0      districtadmin          2    11 to 20
396 396           0         curriculum          2    11 to 20
397 397           0        otheredprof          1      4 to 5
398 398           0         curriculum          1     6 to 10
399 399           0         curriculum          2    11 to 20
400 400           0      classteaching          3         20+
401 401           0 techinfrastructure          2    11 to 20
402 402           0        schooladmin          2    11 to 20
403 403           0  instructionaltech          3         20+
404 404           0        otheredprof          1     6 to 10
405 405           0      districtadmin          1      4 to 5
406 406           0  instructionaltech          2    11 to 20
407 407           0  instructionaltech          3         20+
408 408           0 techinfrastructure          3         20+
409 409           0  instructionaltech          1     6 to 10
410 410           0         curriculum          1      4 to 5
411 411           0  instructionaltech          3         20+
412 412           0          specialed          1     6 to 10
413 413           0  instructionaltech          3         20+
414 414           0  instructionaltech          2    11 to 20
415 415           0            profdev          3         20+
416 416           0           libmedia          2    11 to 20
417 417           0      classteaching          2    11 to 20
418 418           0  instructionaltech          2    11 to 20
419 419           0      classteaching          3         20+
420 420           0      districtadmin          2    11 to 20
421 421           0  instructionaltech          2    11 to 20
422 422           0            profdev          2    11 to 20
423 423           0         curriculum          3         20+
424 424           0           libmedia          2    11 to 20
425 425           0      districtadmin          3         20+
426 426           0      districtadmin          1     6 to 10
427 427           0           libmedia          3         20+
428 428           0        otheredprof          3         20+
429 429           0  instructionaltech          1      0 to 3
430 430           0  instructionaltech          2    11 to 20
431 431           0      classteaching          2    11 to 20
432 432           0  instructionaltech          1     6 to 10
433 433           0         curriculum          3         20+
434 434           0  instructionaltech          1         20+
435 435           0  instructionaltech          1         20+
436 436           0            profdev          2    11 to 20
437 437           0  instructionaltech          1         20+
438 438           0  instructionaltech          1    11 to 20
439 439           0               NULL          1        NULL
440 440           0            profdev          2    11 to 20
441 441           0           libmedia          3         20+
442 442           0      districtadmin          3         20+
443 443           0  instructionaltech          2    11 to 20
444 444           1        otheredprof          3         20+
445 445           1        otheredprof          3         20+
        grades location        region country group gender expert
1    secondary       VA         South      US    UZ female      0
2    secondary       FL         South      US    DL female      0
3   generalist       PA     Northeast      US    OT female      0
4       middle       NC         South      US     N female      0
5   generalist       AL         South      US    AC female      0
6   generalist       AL         South      US    AC female      0
7   generalist       SD       Midwest      US    OT female      0
8    secondary       BE International      BE    AC female      0
9       middle       NC         South      US     N female      0
10      middle       NC         South      US     N   male      0
11  generalist       KG International      KG    DL female      0
12   secondary       AL         South      US    AC female      0
13      middle       CA          West      US    AC female      0
14      middle       NC         South      US     N female      0
15   secondary       WV         South      US    UZ female      0
16      middle       ES International      ES    DL   male      0
17     primary       NC         South      US     N female      0
18      middle       FL         South      US    DL female      0
19     college       AU International      AU    AC   male      0
20  generalist       MI       Midwest      US     M   male      0
21  generalist       NC         South      US     N female      0
22   secondary       FL         South      US    DL   male      0
23      middle       NC         South      US     N female      0
24  generalist       IN       Midwest      US    DL female      0
25  generalist       IL       Midwest      US    DL female      0
26     primary       TX         South      US    OT female      0
27  generalist       IA       Midwest      US    DL female      0
28      middle       ME     Northeast      US     M female      1
29  generalist       AL         South      US    AC female      0
30   secondary       NC         South      US     N female      0
31  generalist       CA          West      US    AC   male      0
32     primary       CA          West      US    AC female      0
33  generalist       CA          West      US    AC   male      0
34     primary       AL         South      US    AC female      0
35     college       SD       Midwest      US    OT   male      0
36   secondary       UT          West      US    UZ female      0
37   secondary       CA          West      US    AC   male      0
38   secondary       ME     Northeast      US     M   male      0
39   secondary       NC         South      US     N female      0
40  generalist       AZ          West      US    AC female      0
41  generalist       PA     Northeast      US    OT   male      1
42  generalist       PA     Northeast      US    OT   male      1
43   secondary       MA     Northeast      US     M female      1
44      middle       NC         South      US     N   male      0
45  generalist       NM          West      US     N female      0
46     primary       NH     Northeast      US     N female      0
47  generalist       MA     Northeast      US     M female      1
48      middle       KS       Midwest      US    DL   male      1
49  generalist       ME     Northeast      US     M female      0
50     primary       VA         South      US    UZ female      0
51     primary       VA         South      US    UZ   male      0
52     primary       NH     Northeast      US     N   male      0
53     primary       MA     Northeast      US     M female      0
54     primary       VT     Northeast      US    UZ female      0
55  generalist       NC         South      US     N female      0
56  generalist       PA     Northeast      US    OT female      1
57  generalist       KS       Midwest      US    DL female      0
58  generalist       NG International      NG     N female      0
59     primary       PA     Northeast      US    OT female      0
60      middle       NC         South      US     N female      0
61     primary       NC         South      US     N female      0
62  generalist       NJ     Northeast      US     N female      0
63   secondary       WV         South      US    UZ female      0
64  generalist       NH     Northeast      US     N female      0
65   secondary       NH     Northeast      US     N female      0
66   secondary       NC         South      US     N female      0
67     primary       NC         South      US     N female      0
68  generalist      ISL International      IL    DL female      0
69  generalist       NJ     Northeast      US     N female      0
70      middle       NC         South      US     N female      0
71  generalist       WA          West      US    UZ female      0
72     primary       VA         South      US    UZ female      0
73     primary       SC         South      US    OT female      0
74  generalist       VT     Northeast      US    UZ female      0
75   secondary       VT     Northeast      US    UZ female      0
76  generalist       KS       Midwest      US    DL female      0
77  generalist       VA         South      US    UZ female      0
78   secondary       TH International      TH    OT female      0
79  generalist       MN       Midwest      US     M female      0
80      middle       VA         South      US    UZ female      0
81     primary       WA          West      US    UZ female      0
82      middle       VA         South      US    UZ female      0
83     primary       ME     Northeast      US     M female      0
84  generalist       PA     Northeast      US    OT female      0
85  generalist       NC         South      US     N female      0
86      middle       NH     Northeast      US     N   male      0
87  generalist       NH     Northeast      US     N female      0
88   secondary       MO       Midwest      US     M   male      0
89  generalist       MI       Midwest      US     M female      0
90  generalist       MI       Midwest      US     M female      0
91   secondary       MN       Midwest      US     M   male      0
92     primary       KS       Midwest      US    DL   male      0
93   secondary       AL         South      US    AC   male      0
94      middle       CA          West      US    AC   male      0
95   secondary       CT     Northeast      US    AC female      0
96   secondary       NC         South      US     N female      0
97     primary       AL         South      US    AC female      0
98     primary       NC         South      US     N female      0
99  generalist       CA          West      US    AC   male      0
100 generalist       NC         South      US     N   male      0
101    primary       NC         South      US     N female      0
102 generalist       RI     Northeast      US    OT female      0
103     middle       RI     Northeast      US    OT   male      0
104     middle       ME     Northeast      US     M female      0
105    primary       NC         South      US     N   male      0
106 generalist       NC         South      US     N   male      0
107 generalist       NC         South      US     N female      0
108  secondary       RI     Northeast      US    OT female      0
109    primary       TX         South      US    OT female      0
110     middle       NC         South      US     N   male      0
111 generalist       SC         South      US    OT female      0
112 generalist       WI       Midwest      US    UZ   male      0
113  secondary       CA          West      US    AC female      0
114  secondary       ZA International      ZA    UZ   male      0
115     middle       PA     Northeast      US    OT female      0
116    college       SD       Midwest      US    OT female      0
117 generalist       SC         South      US    OT female      0
118    college       ZA International      ZA    UZ   male      0
119     middle       TX         South      US    OT female      0
120 generalist       OH       Midwest      US    OT female      0
121 generalist       VA         South      US    UZ   male      0
122 generalist       AL         South      US    AC female      0
123 generalist       TX         South      US    OT female      0
124 generalist       SC         South      US    OT   male      0
125 generalist       PA     Northeast      US    OT female      0
126 generalist       PA     Northeast      US    OT   male      0
127 generalist       AL         South      US    AC   male      0
128    college       RU International      RU    OT female      0
129    primary       OH       Midwest      US    OT female      0
130 generalist       RI     Northeast      US    OT female      0
131 generalist       NC         South      US     N female      0
132 generalist       MI       Midwest      US     M female      0
133  secondary       NC         South      US     N   male      0
134  secondary       NC         South      US     N   male      0
135 generalist       TX         South      US    OT female      0
136 generalist       RI     Northeast      US    OT   male      0
137 generalist       OR          West      US    OT   male      0
138 generalist       VT     Northeast      US    UZ female      0
139 generalist       VA         South      US    UZ female      0
140 generalist       GB International      GB    DL female      0
141  secondary       WA          West      US    UZ female      0
142 generalist       AL         South      US    AC female      0
143 generalist       NJ     Northeast      US     N female      0
144 generalist       VA         South      US    UZ   male      0
145     middle       OH       Midwest      US    OT female      0
146  secondary       CA          West      US    AC female      0
147  secondary       ME     Northeast      US     M female      0
148 generalist       TX         South      US    OT female      1
149 generalist       OH       Midwest      US    OT   male      0
150 generalist       TX         South      US    OT   male      0
151 generalist       RI     Northeast      US    OT   male      0
152 generalist       VT     Northeast      US    UZ   male      0
153  secondary       WY          West      US    UZ   male      0
154  secondary       MN       Midwest      US     M female      0
155 generalist       VA         South      US    UZ female      0
156    primary       ME     Northeast      US     M female      0
157     middle       AL         South      US    AC   male      0
158     middle       WI       Midwest      US    UZ female      0
159  secondary       VT     Northeast      US    UZ   male      0
160 generalist       WI       Midwest      US    UZ female      0
161    primary       NC         South      US     N female      0
162 generalist       NC         South      US     N female      0
163 generalist       NH     Northeast      US     N   male      0
164  secondary       TX         South      US    OT   male      0
165 generalist       RI     Northeast      US    OT female      0
166 generalist       RI     Northeast      US    OT female      0
167 generalist       DC         South      US    DL   male      0
168 generalist       IA       Midwest      US    DL female      0
169 generalist       LA     Northeast      US    DL female      0
170 generalist       IL       Midwest      US    DL   male      0
171 generalist       IN       Midwest      US    DL   male      0
172    college       JM International      JM    DL female      0
173  secondary       AK          West      US    AC   male      0
174  secondary      CAN International      CA    AC   male      0
175 generalist       VT     Northeast      US    UZ female      0
176 generalist       VT     Northeast      US    UZ   male      0
177 generalist       NJ     Northeast      US     N female      1
178  secondary       MN       Midwest      US     M   male      0
179 generalist       AL         South      US    AC   male      0
180    college       AU International      AU    AC   male      0
181 generalist       OR          West      US    OT female      0
182 generalist       VA         South      US    UZ female      0
183 generalist       AL         South      US    AC   male      0
184  secondary       NH     Northeast      US     N   male      0
185  secondary       VA         South      US    UZ female      0
186  secondary       IL       Midwest      US    DL female      0
187 generalist       CA          West      US    AC   male      0
188  secondary       PA     Northeast      US    OT   male      0
189     middle      CAN International      CA    AC female      0
190     middle      CAN International      CA    AC female      0
191     middle       BR International      BR    AC female      0
192     middle       ME     Northeast      US     M female      0
193 generalist       NY     Northeast      US     N female      0
194 generalist       NC         South      US     N female      0
195 generalist       NC         South      US     N female      0
196  secondary       DC         South      US    DL female      0
197 generalist       AZ          West      US    AC female      1
198    primary       VA         South      US    UZ female      0
199     middle       NJ     Northeast      US     N female      0
200     middle       OH       Midwest      US    OT female      0
201     middle       ME     Northeast      US     M female      0
202    primary       VA         South      US    UZ female      0
203 generalist       IA       Midwest      US    DL female      0
204 generalist       WY          West      US    UZ female      0
205 generalist       AL         South      US    AC female      0
206 generalist       MT          West      US     M   male      0
207  secondary       NC         South      US     N   male      0
208 generalist       NJ     Northeast      US     N   male      0
209  secondary       WI       Midwest      US    UZ   male      0
210 generalist       RI     Northeast      US    OT   male      1
211 generalist       DC         South      US    DL   male      1
212  secondary       NH     Northeast      US     N   male      0
213 generalist       NY     Northeast      US     N female      0
214     middle       ME     Northeast      US     M female      0
215  secondary       ME     Northeast      US     M female      0
216     middle       NC         South      US     N female      0
217 generalist       CA          West      US    AC   male      0
218 generalist       DC         South      US    DL   male      0
219  secondary       AL         South      US    AC female      0
220 generalist       OR          West      US    OT female      0
221  secondary       NY     Northeast      US     N female      0
222  secondary       CT     Northeast      US    AC   male      0
223 generalist       AZ          West      US    AC   male      0
224 generalist       OK       Midwest      US    OT female      0
225 generalist       AL         South      US    AC female      0
226 generalist       ME     Northeast      US     M   male      0
227     middle       ME     Northeast      US     M female      0
228 generalist       AL         South      US    AC   male      1
229    primary      CAN International      CA    AC   male      0
230 generalist       SC         South      US    OT female      0
231 generalist       VA         South      US    UZ female      0
232  secondary       WV         South      US    UZ female      0
233 generalist       FL         South      US    DL female      0
234 generalist       IA       Midwest      US    DL female      0
235 generalist       FL         South      US    DL female      0
236    primary       IN       Midwest      US    DL female      0
237     middle       ID          West      US    DL   male      0
238 generalist       KS       Midwest      US    DL   male      0
239 generalist       ID          West      US    DL   male      0
240  secondary       LA         South      US    DL female      0
241 generalist      DEN International      DE    DL female      0
242    college       JM International      JM    DL female      0
243  secondary       IL       Midwest      US    DL   male      0
244 generalist       DC         South      US    DL female      0
245 generalist       FL         South      US    DL female      0
246    primary       WI       Midwest      US    UZ female      0
247  secondary       MI       Midwest      US     M   male      0
248 generalist       IL       Midwest      US    DL   male      0
249 generalist       MO       Midwest      US     M female      0
250 generalist       NC         South      US     N female      0
251     middle       CO          West      US    AC   male      0
252  secondary       NC         South      US     N   male      0
253 generalist       MA     Northeast      US     M female      0
254    primary       MN       Midwest      US     M female      0
255 generalist       ME     Northeast      US     M female      0
256 generalist       ME     Northeast      US     M female      0
257 generalist       CA          West      US    AC   male      0
258     middle       AL         South      US    AC   male      0
259    primary       NC         South      US     N female      0
260    primary       NH     Northeast      US     N   male      0
261  secondary       NC         South      US     N female      0
262    primary       RI     Northeast      US    OT female      0
263  secondary       FL         South      US    DL female      0
264    primary       CO          West      US    AC female      0
265 generalist       WI       Midwest      US    UZ   male      0
266  secondary       WI       Midwest      US    UZ female      0
267 generalist       AL         South      US    AC   male      0
268 generalist       TX         South      US    OT female      0
269     middle       AL         South      US    AC female      0
270  secondary       PA     Northeast      US    OT female      0
271    primary       NC         South      US     N female      0
272  secondary       CA          West      US    AC   male      0
273 generalist       VA         South      US    UZ female      0
274    primary       TX         South      US    OT female      0
275 generalist       NH     Northeast      US     N   male      0
276 generalist       VA         South      US    UZ   male      0
277 generalist       CA          West      US    AC female      1
278  secondary       CA          West      US    AC female      0
279     middle       NH     Northeast      US     N female      0
280 generalist       MN       Midwest      US     M   male      0
281  secondary       ME     Northeast      US     M   male      0
282    primary       MO       Midwest      US     M female      0
283     middle       NC         South      US     N female      0
284 generalist       NC         South      US     N   male      0
285  secondary       WV         South      US    UZ   male      0
286 generalist       VT     Northeast      US    UZ female      0
287 generalist       MA     Northeast      US     M female      0
288  secondary      CAN International      CA    AC   male      0
289  secondary       OH       Midwest      US    OT female      0
290 generalist       KS       Midwest      US    DL female      0
291  secondary       NC         South      US     N female      0
292    primary       NJ     Northeast      US     N female      0
293  secondary       AL         South      US    AC female      1
294  secondary       FL         South      US    DL   male      0
295  secondary      COL International      CO    AC   male      0
296    college      CAN International      CA    AC   male      0
297    primary       NC         South      US     N   male      0
298    primary       NC         South      US     N female      0
299 generalist       PA     Northeast      US    OT   male      0
300  secondary       WI       Midwest      US    UZ   male      0
301 generalist       WI       Midwest      US    UZ female      0
302  secondary       NC         South      US     N female      0
303  secondary       NC         South      US     N female      0
304    college       NJ     Northeast      US     N female      0
305 generalist       WI       Midwest      US    UZ female      0
306 generalist       NC         South      US     N   male      0
307 generalist       WI       Midwest      US    UZ female      0
308  secondary       NY     Northeast      US     N female      0
309  secondary       GB International      GB    DL female      0
310    college       GB International      GB    DL   male      0
311 generalist       CT     Northeast      US    AC   male      0
312 generalist       CT     Northeast      US    AC female      0
313  secondary       CA          West      US    AC female      0
314    primary       AZ          West      US    AC female      0
315  secondary       CA          West      US    AC female      0
316  secondary      CAN International      CA    AC female      0
317 generalist       CA          West      US    AC   male      0
318  secondary       MO       Midwest      US     M female      0
319 generalist       WI       Midwest      US    UZ   male      0
320 generalist       VA         South      US    UZ female      0
321    primary       NC         South      US     N   male      0
322 generalist       VA         South      US    UZ   male      0
323  secondary       CT     Northeast      US    AC female      0
324  secondary       VA         South      US    UZ female      0
325 generalist       NC         South      US     N   male      1
326  secondary       NC         South      US     N female      0
327    primary       PA     Northeast      US    OT   male      0
328 generalist       MO       Midwest      US     M   male      0
329 generalist       MO       Midwest      US     M   male      0
330    college       OR          West      US    OT female      0
331 generalist       CA          West      US    AC   male      0
332 generalist       TN         South      US    OT female      0
333    primary       AL         South      US    AC female      0
334  secondary       NC         South      US     N female      0
335  secondary       VA         South      US    UZ female      0
336    primary       NC         South      US     N female      0
337  secondary       NY     Northeast      US     N   male      0
338 generalist       AL         South      US    AC female      0
339  secondary       VA         South      US    UZ female      0
340 generalist       SC         South      US    OT female      0
341  secondary       NY     Northeast      US     N female      0
342 generalist      CAN International      CA    AC   male      0
343    primary       TX         South      US    OT female      0
344 generalist       OH       Midwest      US    OT female      0
345    primary       VA         South      US    UZ female      0
346  secondary       AL         South      US    AC   male      0
347     middle       NC         South      US     N   male      0
348  secondary       NC         South      US     N female      0
349    primary       NY     Northeast      US     N female      0
350     middle       ME     Northeast      US     M   male      0
351 generalist       WA          West      US    UZ   male      0
352 generalist       OH       Midwest      US    OT female      0
353     middle       NH     Northeast      US     N female      0
354  secondary       NC         South      US     N female      0
355  secondary       KS       Midwest      US    DL female      0
356 generalist       IL       Midwest      US    DL female      0
357  secondary       NC         South      US     N female      0
358    primary       NY     Northeast      US     N female      0
359 generalist       MA     Northeast      US     M female      0
360 generalist       NC         South      US     N female      0
361 generalist       NC         South      US     N female      0
362  secondary       KS       Midwest      US    DL female      0
363  secondary       IL       Midwest      US    DL   male      0
364 generalist       IN International      IN    DL   male      0
365    college       NC         South      US     N female      0
366 generalist       NZ International      NZ     N female      0
367    college       NY     Northeast      US     N female      0
368  secondary       NH     Northeast      US     N female      0
369    college       PA     Northeast      US    OT female      0
370 generalist       NC         South      US     N female      0
371 generalist       NM          West      US     N female      0
372 generalist       NC         South      US     N female      0
373    primary       NY     Northeast      US     N female      0
374  secondary       NC         South      US     N female      0
375       NULL       AL         South      US    AC female      0
376  secondary       NH     Northeast      US     N female      0
377 generalist       NC         South      US     N   male      0
378 generalist       NC         South      US     N   male      0
379  secondary       NC         South      US     N female      0
380  secondary       NJ     Northeast      US     N female      0
381 generalist       NJ     Northeast      US     N female      0
382  secondary       NC         South      US     N female      0
383 generalist       NC         South      US     N female      0
384 generalist       GA         South      US    DL female      0
385 generalist       TX         South      US    OT female      0
386 generalist       TH International      TH    OT female      0
387 generalist       OH       Midwest      US    OT female      0
388 generalist       TX         South      US    OT   male      0
389 generalist       PA     Northeast      US    OT female      0
390    primary       RI     Northeast      US    OT female      0
391    primary       TX         South      US    OT female      0
392 generalist       AL         South      US    AC   male      0
393     middle       WY          West      US    UZ female      0
394 generalist       WI       Midwest      US    UZ   male      0
395 generalist       WY          West      US    UZ female      0
396 generalist       WI       Midwest      US    UZ   male      0
397 generalist       WI       Midwest      US    UZ female      0
398     middle       MD         South      US     M female      0
399 generalist       MA     Northeast      US     M female      0
400    college       MX International      MX     M   male      0
401  secondary       MA International      MA     M female      0
402 generalist       MN       Midwest      US     M   male      0
403 generalist       MI       Midwest      US     M female      0
404    primary       MO       Midwest      US     M female      0
405 generalist       MA     Northeast      US     M   male      0
406 generalist       MI       Midwest      US     M female      0
407  secondary       ME     Northeast      US     M female      0
408 generalist       MO       Midwest      US     M   male      0
409 generalist       NC         South      US     N female      0
410 generalist       NM          West      US     N female      0
411 generalist       OR          West      US    OT female      0
412 generalist       VA         South      US    UZ female      0
413 generalist       SC         South      US    OT female      0
414 generalist       AZ          West      US    AC female      0
415 generalist       AR         South      US    AC   male      0
416  secondary       CA          West      US    AC female      0
417 generalist       NJ     Northeast      US     N female      0
418 generalist       NH     Northeast      US     N female      0
419  secondary       NC         South      US     N female      0
420 generalist       MA     Northeast      US     M female      0
421 generalist       MN       Midwest      US     M female      0
422 generalist       NC         South      US     N female      0
423 generalist       VT     Northeast      US    UZ   male      0
424    primary       CO          West      US    AC female      0
425 generalist       PA     Northeast      US    OT   male      0
426 generalist       OH       Midwest      US    OT female      0
427 generalist       WI       Midwest      US    UZ female      0
428    primary       MA     Northeast      US     M female      0
429 generalist       NM          West      US     N   male      0
430 generalist       NM          West      US     N female      0
431     middle       NH     Northeast      US     N female      0
432  secondary       NC         South      US     N female      0
433 curriculum       AL         South      US    AC female      0
434 generalist       MO       Midwest      US     M female      1
435       high       MA     Northeast      US     M   male      1
436 generalist       NC         South      US     N   male      0
437 generalist       MO       Midwest      US     M female      1
438 generalist       OR          West      US    OT   male      1
439       NULL     NULL          NULL    NULL  NULL   NULL   NULL
440  secondary       NC         South      US     N female      0
441     middle       TX         South      US    OT female      0
442 generalist       SC         South      US    OT female      0
443 generalist       NY     Northeast      US     N female      0
444 generalist       NC         South      US     N   male      0
445 generalist       NC         South      US     N female      0
    connect strong_component size in_degree out_degree community
1         1                1   33        20         33         4
2         0                1    8         2          5         5
3         1                1    7         2          4         5
4         0                1   13         2         14         7
5         0                1   21        16         17         2
6         1                1   23         9         24         3
7         0                1   42        32         26         2
8         0                1   17        13         18         2
9         0                1    9         2         12         1
10        0                1   14         8         12         7
11        1                1   51        47         74         3
12        0                1   16         6         18         2
13        0                1   27        20         15         3
14        0                1   19         5         20         3
15        0                1   26        13         18         7
16        0                1    4         2          1         7
17        0                1   20         2         22         3
18        0              194   17         0         19         3
19        1                1   39        44         35         5
20        0                1    3         1          2         5
21        0              203    3         2          0         3
22        0                1   14         8         15         1
23        0              209    7         6          0         3
24        1                1   34        21         36         3
25        0                1    7         6          6         3
26        0                1   26        22         12         3
27        0                1   25        13         18         1
28        0              193    2         0          1         7
29        0                1   26        12         23         7
30        1                1   42        32         58         7
31        1              192    2         0          1         7
32        0                1   13        11          4         7
33        0                1   17        17          6         8
34        0                1   24        17         22         3
35        0                1   16        15         19         7
36        1                1   37        26         21         7
37        0                1   10         7          4         7
38        1                1    9         7          2         8
39        1                1   13         5         13         4
40        0              191    2         0          1         4
41        1                1   24        29          6         4
42        0                1   14        10          9         7
43        1                1    7         1          7         4
44        1                1   61        47         70         4
45        0                1    4         1          2         3
46        0                1   12         2          9         4
47        0              190    6         0          5         4
48        0                1    5         2          4         7
49        0                1   29        19         23         4
50        0                1   21        16         14         2
51        0                1   10         6         13         2
52        0                1   14         4         13         3
53        0                1   30        19         16         3
54        0                1   31        14         28         2
55        0              189    4         0          4         2
56        1                1   18         4         20         2
57        0                1    7         7          4         3
58        0                1   25        23         16         3
59        0                1   18         7         14         6
60        0                1   39        25         40         3
61        0                1   34        29         24         2
62        0                1   24        16         17         3
63        0                1   19        11         25         3
64        0                1   34        26         19         3
65        0                1    3         1          2         3
66        0                1    9         4          4         1
67        0                1   26        21          9         5
68        1                1   30        21         40         3
69        0                1   10         4          6         4
70        0                1    5         3          1         3
71        0                1    8         1         12         2
72        0                1    6         3          3         8
73        0              188    3         0          2         8
74        0                1   14         6         10         3
75        0                1   10         3          7         7
76        0                1    6         1          4         3
77        1                1    9         3          8         2
78        1                1    6         3          3         8
79        0              187    5         0          4         8
80        1                1    8         1          6         3
81        0                1   10         3          6         2
82        0                1    8         1          6         1
83        0                1   12         1         13         4
84        0              208    6         5          0         4
85        0                1    8         1          6         4
86        0              186    2         0          1         4
87        0                1   10         3          9         4
88        0                1   19        16         14         8
89        0              185    2         0          1         8
90        0                1    4         1          3         8
91        0                1   13         7         11         8
92        0                1   21        17         16         3
93        0              184    4         1          2         8
94        0                1    7         6          1         1
95        0              182    7         4          3         1
96        0              181    9         0         12         1
97        0              179    6         0          5         1
98        0                1   20        16         12         3
99        1                1    7         3          3         8
100       0                1   24        22          7         4
101       0                1   12         9          3         4
102       0              178    5         0          6         2
103       0                1   11         5          9         6
104       0                1   20         6         15         8
105       0                1    6         2          3         8
106       0                1    6         2          4         4
107       0                1   16         4         15         4
108       1              177    5         0          4         4
109       0                1   17         4         18         4
110       0                1    5         2          2         5
111       0              176    2         0          1         5
112       0                1    6         3          2         4
113       0                1   10         4          6         5
114       1                1   11         6          5         2
115       0                1   19        20          6         6
116       0                1   28        32          3         6
117       0                1    7         5          1         3
118       0                1    5         1          5         6
119       0                1    8         5          2         6
120       0              175    4         1          2         6
121       0                1   10         1         10         7
122       1                1    4         2          1         6
123       0              170    6         0          5         6
124       0              169    3         0          2         6
125       0              168    2         0          1         6
126       1              167    3         0          3         1
127       0              166    3         0          2         6
128       0                1   15        10         14         6
129       0                1   10         6          8         6
130       1              165    2         0          1         6
131       0                1    5         1          4         1
132       1                1    7         4          2         1
133       1                1    7         2          7         1
134       0              164    3         0          2         1
135       0              163    3         0          2         6
136       0                1   15        12         13         6
137       0                1   22        22          8         6
138       0                1    7         3          6         2
139       0              162    5         0          4         7
140       0              160    4         0          3         1
141       0                1    5         2          3         1
142       0                1   11         5          9         1
143       1              159    5         0          6         6
144       0                1   13         9         12         3
145       0              174    3         1          1         6
146       0              183    4         1          2         1
147       0              158   14         1         12         8
148       1              157    8         0          8         2
149       1              156    2         0          1         1
150       0              173    4         2          2         1
151       1              172    3         1          1         6
152       0                1    6         3          2         1
153       0              206    4         3          0         1
154       0                1    9         4          6         1
155       0                1   15         9          9         8
156       0                1    4         1          2         8
157       0                1    9         3          8         2
158       0                1   10         8          7         1
159       0                1    6         1          4         7
160       0              155    4         0          3         1
161       0                1   13         6         12         5
162       0                1    6         4          3         6
163       0                1   10         2         10         7
164       0              154    2         0          1         6
165       0                1    9         3          5         6
166       0              153    6         0          6         2
167       1                1   13        11          3         1
168       0              152    3         0          2         1
169       0              151    4         0          5         1
170       0                1    7         2          7         1
171       0              150    5         1          6         1
172       0                1    6         2          6         1
173       0                1    9         3          6         5
174       0              149    3         1          1         5
175       1              202    6         5          0         2
176       0                1   11         6          8         3
177       1                1   12         9          6         3
178       0                1    6         3          5         8
179       0              148    6         0          6         1
180       0              147    2         0          1         1
181       0                1    3         2          1         1
182       0              201   11        10          0         2
183       0                1   12         3          9         2
184       0                1   11         3          9         3
185       0                1   13         1         13         2
186       0              146    3         0          2         1
187       0              195    4         3          0         1
188       0                1    4         1          3         1
189       0              198    4         3          0         5
190       0                1    5         1          4         2
191       0                1    4         1          3         7
192       0                1   16        16          2         7
193       0                1   13        11         11         3
194       1                1    7         5          1         4
195       1                1   12         8          4         4
196       0              145    6         0          5         4
197       1                1    8         1          6         2
198       0                1   23        20         16         2
199       0                1   12         6          8         8
200       1                1    4         2          3         1
201       0                1   16        11         11         4
202       0              144   13         0         13         3
203       0                1   11        10          2         4
204       0              143    3         0          2         4
205       0                1   14         5         12         8
206       1                1    4         1          2         1
207       1                1   15         9          7         5
208       0                1    8         5          2         3
209       0                1    4         2          1         4
210       0              142    3         0          2         3
211       1                1    9         6          4         3
212       0                1    8         5          7         3
213       0              141    2         0          1         3
214       0              140    3         0          2         4
215       1              139    5         0          5         2
216       0                1    7         5          2         5
217       1                1    9         7          6         5
218       0                1    6         3          2         7
219       0                1   24        17         13         8
220       0              138    2         0          1         5
221       0                1   11         8          2         4
222       0                1    2         1          1         5
223       0                1   21        24         15         5
224       0              137    3         0          2         5
225       1              136    2         0          1         5
226       0                1   14         7          8         2
227       0                1    2         1          1         5
228       0              135    3         0          2         5
229       0              134    2         0          1         7
230       0              132    4         0          3         6
231       1              131    7         0          7         6
232       0              130    4         0          3         7
233       0              129    2         0          1         1
234       0              204   28        37          0         1
235       0                1    4         1          3         1
236       0              128    3         0          3         1
237       0              127    2         0          1         1
238       0              126    2         0          2         1
239       0              161    4         1          2         1
240       0              125    3         0          2         1
241       0              124    3         0          3         1
242       0              123    4         0          4         1
243       0                1    8         5          3         1
244       0              122    2         0          1         1
245       1              120    4         0          3         1
246       0                1    5         1          5         1
247       0                1    8         2          6         7
248       0                1    8         6          3         4
249       0                1    9         5          7         8
250       0                1    5         1          3         5
251       0                1    5         4          1         7
252       0                1    4         2          1         1
253       0                1    3         2          1         1
254       0                1    3         1          1         8
255       0              119    3         0          2         8
256       0                1    6         3          2         8
257       0                1    5         3          1         8
258       0              180    5         1          4         1
259       0              118    4         0          3         3
260       0              116    2         0          1         1
261       1              117    3         1          1         1
262       0                1    4         2          2         2
263       0              121    2         1          0         1
264       0              115    3         0          2         7
265       0                1    5         3          1         2
266       0                1    6         1          4         2
267       0              114    3         0          2         2
268       0                1    9         7          2         3
269       0              113    4         0          3         6
270       0                1    2         1          1         6
271       0                1    4         2          2         1
272       0                1    2         1          1         5
273       1              199    5         4          0         3
274       0              112    2         0          1         4
275       0                1    5         1          4         2
276       0                1    4         1          4         1
277       0                1    5         1          5         2
278       1              111    6         0          5         5
279       0                1   11         8          4         5
280       0              110    3         0          3         1
281       0                1    8         5          3         8
282       0              109    2         0          1         1
283       0              107    2         0          1         1
284       0              108    3         1          1         1
285       1                1    6         2          4         4
286       0              200    3         2          0         3
287       0                1    5         3          1         6
288       1              106    3         0          2         6
289       0              105    4         0          3         5
290       0              104    2         0          1         6
291       0              103    2         0          1         6
292       0                1    3         1          1         3
293       1                1    4         2          1         5
294       1              102    2         0          1         1
295       0                1    6         4          1         1
296       0              101    2         0          1         1
297       1              100    3         0          2         1
298       0               99    4         0          3         5
299       0               98    3         0          2         4
300       0                1   16        12          3         8
301       0                1   12        11          3         2
302       0                1    4         1          4         1
303       0                1    8         5          2         4
304       0               97    3         0          2         4
305       0                1    3         1          1         7
306       0              197    5         4          0         2
307       0                1    5         3          3         2
308       0              207    9         8          0         3
309       0               96    2         0          1         2
310       0                1   24        29          1         5
311       0               95    2         0          1         5
312       0               94    2         0          1         5
313       0               93    2         0          1         5
314       0               92    3         0          2         5
315       0               91    3         0          2         5
316       0               90    2         0          1         5
317       0                1    5         1          5         5
318       0                1    4         2          2         1
319       0                1    5         2          2         7
320       0               89    4         0          3         3
321       0                1    3         1          1         7
322       0                1    6         4          1         7
323       0                1    3         1          2         2
324       0              205    5         4          0         2
325       0                1    3         1          1         8
326       1               88    4         0          3         8
327       0               87    2         0          1         8
328       0               86    2         0          1         7
329       0                1    7         3          6         1
330       0              171    4         1          2         6
331       0                1    4         2          4         1
332       1               85    2         0          1         6
333       0               84    3         0          2         8
334       0              196    3         2          0         3
335       0                1    6         4          2         2
336       0                1   13         9          3         2
337       1                1    5         3          1         6
338       0                1    3         1          3         1
339       0                1    3         1          1         2
340       0                1    4         1          2         1
341       1                1   10         9          2         5
342       0                1    5         3          1         1
343       0                1    3         1          1         1
344       0              133    3         1          1         6
345       0                1    4         2          1         7
346       0                1    3         1          2         1
347       1                1    6         2          3         2
348       0               83    2         0          1         2
349       0               82    2         0          1         2
350       0                1    7         5          1         8
351       0                1    5         5          1         3
352       0               81    2         0          1         5
353       0               80    3         0          2         4
354       0               79    4         0          3         4
355       0                1    3         1          3         1
356       0                1    5         3          2         1
357       0               78    3         0          2         2
358       0                1    3         1          1         3
359       0               77    2         0          1         4
360       0               76    5         0          4         2
361       1                1   21         1         20         8
362       0               75    2         0          1         1
363       0               74    2         0          1         1
364       0               73    2         0          1         1
365       0               72    2         0          1         1
366       0               71    2         0          2         1
367       0               70    2         0          1         1
368       0               69    2         0          1         1
369       0               68    2         0          1         1
370       0               67    2         0          1         4
371       0               66    2         0          1         1
372       0               65    2         0          1         1
373       0               64    2         0          1         1
374       0               63    2         0          1         1
375       0               62    2         0          1         1
376       0               61    3         0          3         1
377       0               60    3         0          2         2
378       0               59    3         0          2         2
379       0               58    3         0          2         2
380       0               57    2         0          1         1
381       0               56    2         0          1         1
382       0               55    3         0          2         2
383       0               54    2         0          1         1
384       1               53    2         0          1         1
385       0               52    2         0          1         1
386       0               51    2         0          1         1
387       1               50    2         0          1         1
388       0               49    3         0          2         2
389       0               48    2         0          1         1
390       0               47    2         0          1         1
391       0               46    2         0          1         1
392       0               45    2         0          1         1
393       0               44    2         0          1         1
394       0               43    2         0          1         1
395       0               42    2         0          1         1
396       0               41    2         0          1         1
397       0               40    3         0          3         1
398       0               39    2         0          1         1
399       0               38    3         0          2         2
400       1               37    2         0          1         1
401       0               36    2         0          1         1
402       0               35    2         0          1         1
403       0               34    3         0          2         2
404       0               33    2         0          1         1
405       0               32    2         0          1         1
406       0               31    3         0          3         1
407       0               30    2         0          1         1
408       0               29    2         0          1         1
409       0               28    3         0          2         2
410       1               27    3         0          3         2
411       1               26    2         0          1         1
412       0               25    2         0          1         1
413       1                1    2         1          1         1
414       0               24    2         0          1         1
415       0               23    2         0          2         1
416       0               22    2         0          1         2
417       0               21    2         0          1         2
418       0               20    2         0          1         2
419       0               19    2         0          1         2
420       0               18    2         0          1         2
421       0               17    2         0          1         2
422       1                1    4         3          1         3
423       0               16    2         0          1         2
424       0               15    2         0          1         1
425       1               14    2         0          1         1
426       0               13    2         0          1         1
427       0               12    2         0          1         1
428       0               11    2         0          1         1
429       1               10    2         0          1         1
430       0                9    2         0          1         1
431       0                8    2         0          1         1
432       0                1   36         5         38         3
433       0                1    2         1          1         2
434       0                1    4         1          2         3
435       0                7    2         0          1         2
436       0                6    2         0          1         2
437       0                1    2         1          1         7
438       0                1    3         1          1         7
439    NULL                1    2         1          1         1
440       0                5    2         0          1         1
441       0                4    1         0          0         9
442       0                3    1         0          0        10
443       0                2    1         0          0        11
444       0                1  295       475        106         1
445       0                1  160       276         56         2
    degree_c betweenness_c closeness_c
1         53  9.997258e-03 0.197508897
2          7  9.338289e-05 0.172628305
3          6  1.332240e-04 0.171627368
4         16  2.173936e-04 0.191709845
5         33  4.915016e-03 0.194907814
6         33  4.110439e-03 0.196113074
7         58  1.514472e-02 0.198835647
8         31  1.092029e-03 0.194907814
9         14  6.887348e-05 0.193295603
10        20  4.643416e-03 0.194736842
11       121  1.357036e-02 0.200814111
12        24  4.039876e-04 0.181669394
13        35  3.087664e-03 0.194140796
14        25  2.642207e-04 0.194993412
15        31  1.926153e-03 0.196460177
16         3  1.508410e-05 0.167610419
17        24  6.282821e-04 0.195250660
18        19  5.392684e-04 0.193971166
19        79  3.362383e-02 0.198835647
20         3  6.686092e-06 0.166791886
21         2  1.977146e-06 0.166666667
22        23  1.796529e-03 0.194140796
23         6  8.503385e-06 0.170441459
24        57  6.177946e-03 0.198746643
25        12  2.348410e-04 0.189339019
26        34  1.848973e-03 0.195422535
27        31  6.929039e-03 0.193548387
28         1  0.000000e+00 0.163235294
29        35  9.491100e-03 0.196721311
30        90  1.645036e-02 0.199192463
31         1  0.000000e+00 0.164627364
32        15  5.051407e-04 0.189662537
33        23  6.929501e-04 0.191875540
34        39  1.092729e-03 0.196113074
35        34  5.316433e-03 0.193464052
36        47  7.218586e-03 0.198657718
37        11  1.623720e-04 0.173099415
38         9  1.016427e-04 0.190721649
39        18  4.665541e-04 0.194140796
40         1  0.000000e+00 0.151535836
41        35  5.602716e-03 0.178313253
42        19  4.711667e-04 0.174734357
43         8  3.957020e-05 0.170900693
44       117  2.750977e-02 0.201360544
45         3  3.627871e-05 0.189339019
46        11  4.804831e-04 0.179757085
47         5  1.592974e-05 0.177316294
48         6  9.722768e-05 0.189097104
49        42  7.914720e-03 0.196460177
50        30  9.747479e-04 0.195079086
51        19  1.788484e-04 0.193295603
52        17  5.245653e-04 0.181002854
53        35  1.838537e-03 0.184538653
54        42  8.083196e-03 0.196634190
55         4  1.094847e-04 0.175632911
56        24  6.434155e-04 0.182415776
57        11  8.681808e-05 0.189258312
58        39  9.939424e-04 0.196547145
59        21  5.947597e-03 0.195250660
60        65  1.478094e-02 0.198037467
61        53  1.966297e-02 0.196808511
62        33  4.608381e-04 0.195767196
63        36  1.528650e-03 0.194395797
64        45  4.634750e-03 0.195680917
65         3  0.000000e+00 0.188535032
66         8  1.031376e-04 0.193043478
67        30  6.168175e-03 0.196460177
68        61  4.240547e-03 0.196113074
69        10  4.555436e-03 0.192792010
70         4  4.041984e-05 0.188775510
71        13  1.165292e-03 0.192124621
72         6  1.957734e-03 0.189177674
73         2  2.371625e-06 0.164261931
74        16  7.699256e-04 0.179393939
75        10  4.696823e-04 0.192959583
76         5  8.353946e-06 0.188615123
77        11  1.603071e-04 0.192457737
78         6  1.030969e-03 0.189177674
79         4  1.316145e-05 0.164871890
80         7  6.675907e-05 0.173844949
81         9  2.023521e-04 0.189824711
82         7  1.565938e-04 0.192374350
83        14  2.723061e-03 0.194310722
84         5  4.482609e-03 0.166666667
85         7  9.703950e-04 0.192792010
86         1  0.000000e+00 0.143041237
87        12  2.490986e-03 0.193971166
88        30  7.380835e-03 0.194480946
89         1  0.000000e+00 0.163055454
90         4  2.870534e-06 0.188375053
91        18  9.879306e-04 0.193211488
92        33  3.693240e-03 0.195853551
93         3  2.428104e-05 0.164505372
94         7  1.838970e-03 0.191792657
95         7  4.493683e-03 0.188375053
96        12  4.745181e-04 0.192875760
97         5  4.446413e-05 0.176190476
98        28  4.422862e-04 0.192792010
99         6  1.074300e-04 0.192792010
100       29  2.226758e-03 0.195939982
101       12  1.491776e-03 0.193211488
102        6  0.000000e+00 0.192291035
103       14  5.205746e-03 0.192792010
104       21  9.561525e-04 0.182640889
105        5  9.977457e-05 0.189662537
106        6  1.553601e-05 0.172293364
107       19  5.186231e-04 0.190967742
108        4  3.381618e-06 0.168949772
109       22  7.966098e-03 0.192124621
110        4  4.479720e-03 0.188775510
111        1  0.000000e+00 0.159025788
112        5  8.488116e-05 0.188855806
113       10  1.765519e-04 0.189743590
114       11  9.969978e-05 0.180855397
115       26  2.333754e-02 0.193127447
116       35  1.524048e-02 0.197070573
117        6  2.994202e-05 0.171627368
118        6  5.342236e-05 0.166917293
119        7  5.582580e-04 0.169659916
120        3  4.474000e-03 0.188615123
121       11  1.416391e-04 0.193464052
122        3  2.903839e-05 0.166729253
123        5  7.004260e-04 0.168118137
124        2  0.000000e+00 0.188455008
125        1  0.000000e+00 0.164871890
126        3  0.000000e+00 0.188455008
127        2  0.000000e+00 0.188455008
128       24  1.690773e-03 0.192291035
129       14  1.254664e-03 0.190149893
130        1  0.000000e+00 0.164871890
131        5  1.821601e-05 0.188936170
132        6  3.640050e-05 0.171230235
133        9  6.186174e-04 0.189905902
134        2  1.138480e-04 0.187896741
135        2  2.412686e-05 0.160927872
136       25  1.148455e-03 0.193717277
137       30  3.241522e-03 0.195767196
138        9  1.111568e-04 0.192291035
139        4  1.847047e-05 0.188455008
140        3  2.542045e-06 0.161807580
141        5  1.773828e-03 0.188535032
142       14  2.481858e-04 0.193379791
143        6  1.068402e-06 0.189016603
144       21  2.019987e-04 0.190803610
145        2  1.866003e-05 0.164566345
146        3  4.023374e-05 0.191461837
147       13  1.800397e-03 0.193211488
148        8  3.947696e-05 0.177955912
149        1  0.000000e+00 0.158571429
150        4  8.477025e-03 0.188135593
151        2  2.440364e-05 0.160000000
152        5  5.905531e-04 0.189016603
153        3  7.111750e-06 0.163415532
154       10  2.301671e-03 0.192541197
155       18  2.595965e-03 0.193971166
156        3  2.979074e-06 0.169465649
157       11  1.112162e-03 0.192708333
158       15  1.195712e-03 0.190312902
159        5  2.855870e-05 0.176610979
160        3  7.270113e-04 0.188135593
161       18  2.865065e-04 0.192041522
162        7  3.611767e-05 0.191875540
163       12  7.773809e-05 0.193127447
164        1  0.000000e+00 0.161866569
165        8  2.495069e-04 0.190803610
166        6  1.530205e-04 0.191958495
167       14  3.070046e-03 0.190394511
168        2  0.000000e+00 0.161807580
169        5  0.000000e+00 0.188455008
170        9  2.442540e-04 0.189177674
171        7  4.474000e-03 0.188615123
172        8  1.063241e-04 0.189500640
173        9  1.893158e-03 0.189743590
174        2  3.389394e-06 0.162756598
175        5  1.207379e-05 0.166917293
176       14  4.787245e-03 0.192875760
177       15  5.059019e-04 0.182116489
178        8  8.215182e-04 0.189016603
179        6  2.089695e-04 0.191875540
180        1  0.000000e+00 0.158741509
181        3  0.000000e+00 0.187896741
182       10  8.758506e-05 0.172964550
183       12  6.552675e-04 0.180781759
184       12  1.835474e-03 0.193211488
185       14  8.593368e-04 0.193295603
186        2  0.000000e+00 0.187817259
187        3  9.243802e-07 0.187896741
188        4  0.000000e+00 0.188535032
189        3  5.180931e-06 0.187976291
190        5  6.130620e-05 0.191709845
191        4  3.038756e-05 0.169078446
192       18  8.311724e-03 0.192041522
193       22  4.425342e-04 0.193379791
194        6  1.290771e-04 0.189419795
195       12  1.090249e-04 0.194651469
196        5  1.783289e-05 0.189419795
197        7  6.288008e-04 0.178743961
198       36  7.005840e-04 0.195336560
199       14  2.846943e-04 0.193295603
200        5  1.945641e-04 0.189097104
201       22  6.532441e-04 0.193886463
202       13  8.398502e-05 0.194310722
203       12  2.806158e-04 0.190721649
204        2  0.000000e+00 0.187976291
205       17  9.459393e-04 0.190312902
206        3  0.000000e+00 0.188135593
207       16  3.426864e-04 0.183017312
208        7  9.279767e-05 0.170180146
209        3  4.400729e-05 0.175841584
210        2  0.000000e+00 0.175355450
211       10  3.336131e-04 0.192708333
212       12  9.547411e-05 0.192457737
213        1  0.000000e+00 0.165548098
214        2  0.000000e+00 0.188215345
215        5  1.321273e-05 0.177316294
216        7  7.396383e-05 0.170049789
217       13  2.370083e-03 0.190394511
218        5  2.627770e-04 0.189419795
219       30  3.178656e-03 0.192624729
220        1  0.000000e+00 0.166105499
221       10  6.195117e-04 0.191461837
222        2  0.000000e+00 0.166105499
223       39  8.530463e-03 0.196026490
224        2  0.000000e+00 0.167673716
225        1  0.000000e+00 0.166105499
226       15  3.017241e-04 0.194310722
227        2  0.000000e+00 0.166105499
228        2  0.000000e+00 0.177387135
229        1  0.000000e+00 0.161337209
230        3  2.736394e-05 0.161689731
231        7  8.912657e-05 0.170966500
232        3  1.664355e-05 0.191709845
233        1  0.000000e+00 0.161689731
234       37  2.242049e-02 0.192541197
235        4  4.327795e-05 0.191875540
236        3  0.000000e+00 0.188295165
237        1  0.000000e+00 0.161689731
238        2  0.000000e+00 0.161689731
239        3  8.818300e-04 0.188375053
240        2  0.000000e+00 0.188295165
241        3  0.000000e+00 0.188295165
242        4  0.000000e+00 0.188375053
243        8  8.748607e-03 0.189662537
244        1  0.000000e+00 0.161689731
245        3  4.474000e-03 0.188455008
246        6  9.804484e-06 0.188936170
247        8  4.513245e-03 0.192541197
248        9  4.524555e-03 0.190639760
249       12  3.758989e-03 0.192541197
250        4  1.124611e-04 0.191709845
251        5  2.123824e-04 0.188535032
252        3  4.994438e-07 0.188295165
253        3  0.000000e+00 0.188295165
254        2  1.520385e-06 0.161984677
255        2  0.000000e+00 0.187896741
256        5  4.152514e-05 0.188695283
257        4  7.012946e-05 0.188936170
258        5  2.263293e-04 0.191709845
259        3  7.710743e-05 0.188695283
260        1  0.000000e+00 0.158401712
261        2  4.474000e-03 0.187896741
262        4  7.810434e-05 0.176120587
263        1  0.000000e+00 0.158798283
264        2  1.475825e-05 0.175632911
265        4  4.980090e-04 0.188535032
266        5  5.145883e-05 0.164627364
267        2  0.000000e+00 0.188775510
268        9  1.532313e-04 0.173844949
269        3  2.866235e-06 0.167673716
270        2  0.000000e+00 0.162102957
271        4  2.285280e-04 0.188135593
272        2  0.000000e+00 0.164140481
273        4  1.041269e-05 0.168373151
274        1  0.000000e+00 0.167863894
275        5  1.959549e-06 0.177528988
276        5  0.000000e+00 0.192124621
277        6  3.919098e-06 0.177528988
278        5  2.665584e-03 0.192457737
279       12  1.773613e-03 0.191296855
280        3  0.000000e+00 0.188295165
281        8  8.324394e-05 0.192124621
282        1  0.000000e+00 0.159654800
283        1  0.000000e+00 0.158401712
284        2  4.474000e-03 0.187896741
285        6  1.193956e-05 0.168693009
286        2  2.944515e-06 0.162102957
287        4  3.862214e-05 0.169271826
288        2  1.171883e-05 0.162399415
289        3  1.296219e-04 0.164261931
290        1  0.000000e+00 0.162102957
291        1  0.000000e+00 0.162102957
292        2  0.000000e+00 0.187976291
293        3  7.205470e-06 0.176190476
294        1  0.000000e+00 0.158911954
295        5  4.479254e-03 0.188135593
296        1  0.000000e+00 0.158571429
297        2  0.000000e+00 0.187896741
298        3  0.000000e+00 0.191792657
299        2  0.000000e+00 0.187976291
300       15  4.780285e-03 0.194140796
301       14  2.176201e-03 0.192959583
302        5  2.205982e-06 0.188615123
303        7  6.020324e-05 0.192457737
304        2  0.000000e+00 0.187817259
305        2  0.000000e+00 0.188295165
306        4  1.164955e-04 0.165857303
307        6  7.882054e-04 0.175980975
308        8  6.997015e-05 0.189824711
309        1  0.000000e+00 0.164566345
310       30  2.296343e-02 0.192541197
311        1  0.000000e+00 0.161689731
312        1  0.000000e+00 0.161689731
313        1  0.000000e+00 0.161689731
314        2  0.000000e+00 0.188615123
315        2  0.000000e+00 0.162102957
316        1  0.000000e+00 0.161689731
317        6  8.873663e-05 0.192291035
318        4  0.000000e+00 0.191958495
319        4  5.642092e-05 0.175771971
320        3  0.000000e+00 0.191627104
321        2  3.223866e-06 0.161866569
322        5  8.752388e-04 0.189500640
323        3  0.000000e+00 0.176050753
324        4  1.069884e-05 0.188375053
325        2  0.000000e+00 0.188135593
326        3  0.000000e+00 0.191461837
327        1  0.000000e+00 0.162816282
328        1  0.000000e+00 0.161689731
329        9  5.630786e-05 0.192041522
330        3  7.858756e-04 0.188215345
331        6  1.271023e-06 0.188055909
332        1  0.000000e+00 0.158911954
333        2  1.819547e-05 0.187976291
334        2  0.000000e+00 0.169400992
335        6  3.508836e-05 0.189258312
336       12  2.630565e-04 0.194225722
337        4  1.347255e-03 0.188375053
338        4  0.000000e+00 0.188295165
339        2  0.000000e+00 0.188455008
340        3  2.514451e-04 0.187976291
341       11  2.492494e-04 0.179684338
342        4  7.466899e-04 0.188135593
343        2  0.000000e+00 0.187896741
344        2  1.122599e-03 0.187896741
345        3  0.000000e+00 0.188375053
346        3  9.418734e-04 0.187976291
347        5  7.612775e-04 0.192875760
348        1  0.000000e+00 0.164688427
349        1  0.000000e+00 0.164688427
350        6  5.820118e-05 0.189662537
351        6  4.412943e-05 0.176962933
352        1  0.000000e+00 0.164444444
353        2  1.992894e-06 0.166043381
354        3  0.000000e+00 0.191544435
355        4  0.000000e+00 0.187817259
356        5  4.248942e-06 0.188455008
357        2  5.191504e-05 0.187976291
358        2  0.000000e+00 0.188695283
359        1  0.000000e+00 0.160346696
360        4  6.108170e-05 0.188615123
361       21  1.206649e-03 0.175841584
362        1  0.000000e+00 0.187737844
363        1  0.000000e+00 0.187737844
364        1  0.000000e+00 0.187737844
365        1  0.000000e+00 0.187737844
366        2  0.000000e+00 0.187737844
367        1  0.000000e+00 0.187737844
368        1  0.000000e+00 0.187737844
369        1  0.000000e+00 0.187737844
370        1  0.000000e+00 0.161866569
371        1  0.000000e+00 0.187737844
372        1  0.000000e+00 0.187737844
373        1  0.000000e+00 0.187737844
374        1  0.000000e+00 0.187737844
375        1  0.000000e+00 0.187737844
376        3  0.000000e+00 0.191296855
377        2  0.000000e+00 0.191296855
378        2  0.000000e+00 0.191296855
379        2  0.000000e+00 0.191296855
380        1  0.000000e+00 0.187737844
381        1  0.000000e+00 0.187737844
382        2  0.000000e+00 0.191296855
383        1  0.000000e+00 0.187737844
384        1  0.000000e+00 0.187737844
385        1  0.000000e+00 0.187737844
386        1  0.000000e+00 0.187737844
387        1  0.000000e+00 0.187737844
388        2  0.000000e+00 0.191296855
389        1  0.000000e+00 0.187737844
390        1  0.000000e+00 0.187737844
391        1  0.000000e+00 0.187737844
392        1  0.000000e+00 0.187737844
393        1  0.000000e+00 0.187737844
394        1  0.000000e+00 0.187737844
395        1  0.000000e+00 0.187737844
396        1  0.000000e+00 0.187737844
397        3  0.000000e+00 0.191296855
398        1  0.000000e+00 0.187737844
399        2  0.000000e+00 0.191296855
400        1  0.000000e+00 0.187737844
401        1  0.000000e+00 0.187737844
402        1  0.000000e+00 0.187737844
403        2  0.000000e+00 0.191296855
404        1  0.000000e+00 0.187737844
405        1  0.000000e+00 0.187737844
406        3  0.000000e+00 0.191296855
407        1  0.000000e+00 0.187737844
408        1  0.000000e+00 0.187737844
409        2  0.000000e+00 0.191296855
410        3  0.000000e+00 0.191296855
411        1  0.000000e+00 0.187737844
412        1  0.000000e+00 0.187737844
413        2  0.000000e+00 0.187737844
414        1  0.000000e+00 0.187737844
415        2  0.000000e+00 0.187737844
416        1  0.000000e+00 0.175217048
417        1  0.000000e+00 0.175217048
418        1  0.000000e+00 0.175217048
419        1  0.000000e+00 0.175217048
420        1  0.000000e+00 0.175217048
421        1  0.000000e+00 0.175217048
422        4  6.389261e-06 0.166416792
423        1  0.000000e+00 0.175217048
424        1  0.000000e+00 0.187737844
425        1  0.000000e+00 0.187737844
426        1  0.000000e+00 0.187737844
427        1  0.000000e+00 0.187737844
428        1  0.000000e+00 0.187737844
429        1  0.000000e+00 0.187737844
430        1  0.000000e+00 0.187737844
431        1  0.000000e+00 0.187737844
432       43  4.114279e-03 0.183698800
433        2  0.000000e+00 0.175217048
434        3  1.626206e-06 0.176610979
435        1  0.000000e+00 0.175217048
436        1  0.000000e+00 0.175217048
437        2  0.000000e+00 0.162340037
438        2  9.470854e-06 0.175702414
439        2  0.000000e+00 0.162399415
440        1  0.000000e+00 0.187737844
441        0  0.000000e+00 0.002247191
442        0  0.000000e+00 0.002247191
443        0  0.000000e+00 0.002247191
444      581  7.142161e-01 0.230649351
445      332  1.850191e-01 0.212034384
Show code
keyego <- data.frame(
  dltl_stats_ego %>%
  arrange(-degree_c)%>%
  select(uid),
 dltl_stats_ego %>%
  arrange(-betweenness_c)%>%
  select(uid),
  dltl_stats_ego %>%
  arrange(-closeness_c)%>%
  select(uid))%>%
  setNames(c("degree","betweenness","closeness"))
keyego[]
    degree betweenness closeness
1      444         444       444
2      445         445       445
3       11          19        44
4       44          44        11
5       30         115        30
6       19         310         7
7       60         234        19
8       68          61        24
9        7          30        36
10      24         116        60
11       1           7         1
12      61          60       116
13      36          11        61
14      64           1        29
15     432          29        54
16      49         243        58
17      54         223        15
18      34         150        49
19      58         192        67
20     223          54         6
21     234         109        34
22      63          49        68
23     198          88       223
24      13          36       100
25      29          27        92
26      41          24        62
27      53          67       137
28     116          59        64
29      26          41        26
30      35          35       198
31       5         103        17
32       6           5        59
33      62         176        50
34      92         300        14
35       8          10         5
36      15          64         8
37      27          69        10
38      50         248       195
39      67         247        88
40      88          95        63
41     137          84        83
42     219         110       202
43     310         295       226
44     100         245       336
45      98         120        13
46     115         261        22
47      14         284        39
48     136         171       300
49      12          68        18
50      17         432        87
51      56           6       155
52     128         249       201
53      22          92       136
54      33         137        27
55     109         219        35
56     193          13       121
57     201         167       142
58      59          83       193
59     104         278         9
60     144         155        51
61     361          87       185
62      10         217       199
63      18         154        91
64      42         100       101
65      51         301       147
66     107          72       184
67      39          15       115
68      91         173       163
69     155          26        66
70     161          94        75
71     192          53       301
72      52         184        96
73     205         147       176
74       4          22       347
75      74         141        69
76     207         279        85
77      32         128        98
78     158          63        99
79     177         101       103
80     226         337       157
81     300         129       211
82       9         361       219
83      83         158       154
84     103          71       234
85     129         136       247
86     142         344       249
87     167         157       310
88     176          34        77
89     185           8       212
90     199          78       278
91     301          58       303
92      71          91        82
93     147          50       102
94     202          85       128
95     217         104       138
96      25         205       317
97      87         346        71
98      96         239       109
99     101         322       276
100    163         185       281
101    183         178       161
102    184         307       192
103    195         330       329
104    203          74       166
105    212         347       318
106    249         342        33
107    279         160       162
108    336         198       179
109     37         123       235
110     46          33        94
111     57         183       298
112     77         201         4
113    114          56       190
114    121         197       232
115    157          17       250
116    341         221       258
117     69         133       320
118     75         152       354
119    113         119       146
120    154          18       221
121    182          52       326
122    211         107       279
123    221         177       376
124     38          32       377
125     81         265       378
126    133          46       379
127    138          96       382
128    170          42       388
129    173          75       397
130    248          39       399
131    268          62       403
132    329         193       406
133     43          98       409
134     66          12       410
135    148         207       107
136    165         211       144
137    172         226       165
138    178         161        38
139    243         199       203
140    247         203       248
141    281          14       167
142    308         336       217
143      2         218       158
144     80         340       205
145     82         165       129
146     85         341       133
147     94         142        81
148     95         170       308
149    119          25       113
150    162         271       173
151    171         258        32
152    197           4       105
153    208         251       243
154    216         179       350
155    231          81       172
156    303         144       322
157      3         200       194
158     23          51       196
159     48         113       218
160     72          37        25
161     78          77        45
162     99          82        57
163    102         268       335
164    106         166        72
165    117         121        78
166    118           3       170
167    132         289        48
168    143         194       200
169    166         306       143
170    179         134       152
171    194         250       178
172    246         138       131
173    277          55       246
174    285         195       257
175    307          99       112
176    317         172        70
177    331          66       110
178    335          38       267
179    350         105       256
180    351         114       259
181     47          48       358
182     76         212        76
183     84           2       120
184     97         208       171
185    105         231       302
186    112         317       314
187    123         182       360
188    131          57        65
189    141         112       141
190    152         202       188
191    159         281       251
192    169         262       265
193    175         163       124
194    190         259       126
195    196         216       127
196    200         257       139
197    215         308       169
198    218           9       245
199    251          80       339
200    256         190       356
201    258         360        90
202    266         303        95
203    275         350       239
204    276         319       242
205    278         329       324
206    295         118       337
207    302         357       345
208    322         266       236
209    347          97       240
210    356         351       241
211     55         209       252
212     70         235       253
213     79         256       280
214     90          70       305
215    108         146       338
216    110          43       214
217    139         148       330
218    150         287       150
219    188         132       160
220    191          45       206
221    235         162       271
222    242         335       295
223    250         191       325
224    257         117       342
225    262         122       331
226    265         159       189
227    271         230       204
228    273         151       292
229    287          93       299
230    306         135       333
231    318         145       340
232    319         139       346
233    324         131       357
234    337         333       134
235    338         196       181
236    342         232       187
237    355          47       255
238    360         106       261
239    422          16       284
240     16         264       297
241     20         215       343
242     45          79       344
243     65         175       186
244     93         285       304
245    120         288       355
246    122         324       362
247    126         273       363
248    140         246       364
249    146         438       365
250    153          23       366
251    156          76       367
252    160         293       368
253    181         153       369
254    187          20       371
255    189         422       372
256    206         189       373
257    209         356       374
258    230         277       375
259    232         174       380
260    236         108       381
261    239         321       383
262    241         156       384
263    245         286       385
264    252          90       386
265    253         269       387
266    259         140       389
267    269          73       390
268    280         302       391
269    289         353       392
270    293          21       393
271    298         275       394
272    320         434       395
273    323         254       396
274    326         331       398
275    330         143       400
276    340         187       401
277    345         252       402
278    346          28       404
279    354          31       405
280    376          40       407
281    397          65       408
282    406          86       411
283    410          89       412
284    434         102       413
285     21         111       414
286     73         124       415
287    124         125       424
288    127         126       425
289    134         127       426
290    135         130       427
291    145         149       428
292    151         164       429
293    168         168       430
294    174         169       431
295    186         180       440
296    204         181        53
297    210         186       432
298    214         188       207
299    222         204       104
300    224         206        56
301    227         210       177
302    228         213        12
303    238         214        52
304    240         220       114
305    254         222       183
306    255         224        46
307    261         225       341
308    264         227        74
309    267         228       197
310    270         229        41
311    272         233       148
312    284         236       275
313    286         237       277
314    288         238       228
315    292         240        47
316    297         241       215
317    299         242       351
318    304         244       159
319    305         253       434
320    314         255        97
321    315         260       293
322    321         263       262
323    325         267       323
324    333         270       307
325    334         272       209
326    339         274       361
327    343         276       319
328    344         280       438
329    353         282        55
330    357         283       264
331    358         290       210
332    366         291       416
333    377         292       417
334    378         294       418
335    379         296       419
336    382         297       420
337    388         298       421
338    399         299       423
339    403         304       433
340    409         305       435
341    413         309       436
342    415         311        42
343    433         312        80
344    437         313       268
345    438         314        37
346    439         315       182
347     28         316         2
348     31         318       106
349     40         320         3
350     86         323       117
351     89         325       132
352    111         326       231
353    125         327        43
354    130         328        23
355    149         332       208
356    164         334       216
357    180         338       119
358    213         339       156
359    220         343       334
360    225         345       287
361    229         348       191
362    233         349       108
363    237         352       285
364    244         354       273
365    260         355       123
366    263         358       274
367    274         359       224
368    282         362       269
369    283         363        16
370    290         364       118
371    291         365       175
372    294         366        20
373    296         367       122
374    309         368        21
375    311         369        84
376    312         370       422
377    313         371       220
378    316         372       222
379    327         373       225
380    328         374       227
381    332         375       353
382    348         376       306
383    349         377       213
384    352         378        79
385    359         379       125
386    362         380       130
387    363         381       348
388    364         382       349
389    365         383        31
390    367         384       266
391    368         385       145
392    369         386       309
393    370         387        93
394    371         388       352
395    372         389        73
396    373         390       289
397    374         391       272
398    375         392       153
399    380         393        28
400    381         394        89
401    383         395       327
402    384         396       174
403    385         397       288
404    386         398       439
405    387         399       437
406    389         400       270
407    390         401       286
408    391         402       290
409    392         403       291
410    393         404       315
411    394         405       254
412    395         406       164
413    396         407       321
414    398         408       370
415    400         409       140
416    401         410       168
417    402         411       230
418    404         412       233
419    405         413       237
420    407         414       238
421    408         415       244
422    411         416       311
423    412         417       312
424    414         418       313
425    416         419       316
426    417         420       328
427    418         421       229
428    419         423       135
429    420         424       359
430    421         425       151
431    423         426       282
432    424         427       111
433    425         428       294
434    426         429       332
435    427         430       263
436    428         431       180
437    429         433       149
438    430         435       296
439    431         436       260
440    435         437       283
441    436         439        40
442    440         440        86
443    441         441       441
444    442         442       442
445    443         443       443
  1. Which two actors have the highest betweenness and what is unique about their role in the course?

    • The top two actors that have the highest betweeness are 444 and 445. They are also the facilitators of the group
  2. Do these same two actors also have the highest closeness? How might you interpret that?

    • Yes, they also have the highest number of closeness as well. They have the shortest distance path to all other nodes.

4. MODEL

To be connected to others matters. To be able to share and learn from each other matters. Carolan( 2014) explains, “Teachers who share best practices with others expand their own teaching repertoires.” We explored the Southern region participants of a MOOC-Ed discussion through the visualization above.

Asking whether years of experience make a difference in a discussion forum? What ways are the participants connected?

Show code
dlt1_network |>
  activate(nodes) |>
  filter(region == 'South')|>
  mutate(degree=centrality_degree()) |> 
  filter(degree>0)|>
  activate(edges) |>
  mutate(betweenness = centrality_edge_betweenness()) |>
ggraph(layout = "stress") +
  geom_edge_link0(aes(edge_alpha = betweenness), edge_color = "grey66") +
  geom_node_point(aes(size = degree, shape = experience2, color = group)) +
  scale_edge_width_continuous(range = c(0.2, 10)) +
  scale_size_continuous(range = c(1, 8)) +
  ggtitle( "MOOC-Ed Southern Region Participants" ) +
  theme( legend.key = element_rect( fill = "white", colour = "black" ), 
  legend.title = element_text(face = "bold" )) +
  guides(color =FALSE)+
  theme_graph() +
  theme(legend.position = "right", legend.text = element_text(size = 6, colour = "black"))

Using this type of analysis, the facilitator could reach out to those with high betweenness and closeness degrees to spread information and ideas to the rest of the group.

To improve this analysis, I would first look at the closeness degree and include it as an edge color. Next, I would like to explore each group separately. I would be able to analyze each network and the actors’ brokerage to find out if there are any consultants.

References

Kellogg, Shawn (2022). Unit 3: Components, Cliques, & Key Actors. ECI 589 Social Network Analysis and Education