CRAS

The models

There are 105 unique models (mdl.file.name).

Area Group models avg_asset_index avg_pctmale
Badakhshan Children 9 -0.59 0.50
Badakhshan Parents 9 -0.63 1.00
Badakhshan Teachers 9 -0.62 0.57
Ghazni Children 10 0.52 0.30
Ghazni Parents 10 0.69 0.75
Ghazni Teachers 7 0.92 0.26
Jaighori Children 9 1.47 0.57
Jaighori Parents 9 1.45 0.31
Jaighori Teachers 9 1.51 0.50
Takhar Children 10 -1.04 0.48
Takhar Parents 10 -1.04 0.97
Takhar Teachers 4 -0.93 0.54
asset_index_group models
high 21
low 19
mid 65

Commonalities and differences among groups

Nodes
What are common nodes across groups? Lesson learning, Child anxiety and distress, and Child interest in education appear many more times than the others (connected to >500 nodes, and in more than 75% of models) with Child attendance, Child health, and Family income following (connected to >250 nodes, and in more than 65% of models)

node n n_models
Child happiness 1138 105
Lesson learning 842 102
Child anxiety and distress 730 96
Child interest in education 509 79
Child attendance 373 70
Child health 324 74
Family income 265 67
Learning material 197 68
Playing and exercising 182 46
Child self confidence 180 44
Child focus on education 170 52
Parent child encouragement 155 52
Child friendly relationship 150 35
Child homework completion 146 42
Parents focus on child education 126 40
Teacher child encouragement 120 43
Child fights 114 38
Child aim in life 113 40
Parents domestic issues 113 49
Child nutrition 110 43
Child result 106 32

Among subgroups - role. There are also differences among subgroups. For instance, here are all nodes that were used at least 75% of the time by either parents, teachers, or children. All groups frequently used Lesson learning and Child anxiety and distress as key nodes. In contrast, many fewer child groups used Child interest in education, compared to Parent and Teacher groups; and many fewer teacher groups used Child health compared to children and parent groups.

Among subgroups - area. Here are all nodes that were used at least 75% of the time in at least one of the areas.

Direct links (edges)
What are common direct links across groups?

Although direct links are not widely shared across model-building groups, 10 were used by at least 37 groups. Of these, 4 interact with Child happiness in a feedback loop, 3 affect this loop, and 2 interact externally. Note that this isn’t exactly a “consensus” model as it only represents about 35% of the models.

link n_models cause effect edge.color
Child happiness Decreases Child anxiety and distress 78 Child happiness Child anxiety and distress pink
Lesson learning Increases Child happiness 76 Lesson learning Child happiness light blue
Child anxiety and distress Decreases Child happiness 66 Child anxiety and distress Child happiness pink
Child attendance Increases Lesson learning 51 Child attendance Lesson learning light blue
Child focus on education Increases Lesson learning 47 Child focus on education Lesson learning light blue
Child anxiety and distress Decreases Child health 44 Child anxiety and distress Child health pink
Child happiness Increases Lesson learning 43 Child happiness Lesson learning light blue
Playing and exercising Increases Child happiness 40 Playing and exercising Child happiness light blue
Child health Increases Child attendance 38 Child health Child attendance light blue
Family income Increases Learning material 38 Family income Learning material light blue
Parents domestic issues Increases Child anxiety and distress 38 Parents domestic issues Child anxiety and distress light blue

Here’s that diagram with line width representing prevalence of link across models (thicker=more models)

Among subgroups - role. Here are the most-widely shared links (at least 50% of models reporting link) within the group types of: children, parents and teachers.

Among subgroups - area. Here are the most-widely shared links (at least 50% of models reporting link) within the group types of: children, parents and teachers.

Indirect links (nodes that are downstream of other nodes)

If we expand our models to consider indirect edges (connections between any node in a model and all other nodes reachable from it), there are more similarities: now 71 (instead of 7) are used by at least 37 model-building groups. Note this does not consider the summed polarity of the connections, just the fact of one node (the ‘effect’) being reach from another (the ‘cause’) through causal connections. This will also show looping structures (e.g. “Lesson learning is downstream of Lesson learning” indicates a loop)

cause effect n_models
Child happiness Child happiness 105
Lesson learning Lesson learning 100
Lesson learning Child happiness 98
Child happiness Lesson learning 97
Child anxiety and distress Child happiness 92
Child happiness Child anxiety and distress 91
Child anxiety and distress Child anxiety and distress 89
Child anxiety and distress Lesson learning 86
Lesson learning Child anxiety and distress 84
Child health Child happiness 70
Child health Lesson learning 66
Child interest in education Child happiness 66
Child interest in education Lesson learning 66
Child health Child anxiety and distress 65
Learning material Child happiness 65
Lesson learning Child attendance 65
Child attendance Child attendance 64
Child attendance Lesson learning 64
Child happiness Child attendance 64
Family income Child happiness 64
Learning material Lesson learning 64
Lesson learning Child interest in education 64
Child happiness Child interest in education 63
Child attendance Child happiness 62
Child interest in education Child interest in education 61
Family income Lesson learning 61
Child happiness Child health 60
Child health Child health 60
Family income Child anxiety and distress 59
Child anxiety and distress Child health 57
Learning material Child anxiety and distress 57
Child anxiety and distress Child attendance 56
Lesson learning Child health 56
Child anxiety and distress Child interest in education 55
Child interest in education Child anxiety and distress 54
Child attendance Child anxiety and distress 51
Child health Child attendance 49
Parent child encouragement Child happiness 49
Child focus on education Lesson learning 48
Child interest in education Child attendance 48
Parent child encouragement Lesson learning 48
Family income Child attendance 47
Learning material Child interest in education 47
Parents domestic issues Child happiness 47
Child focus on education Child happiness 46
Family income Child health 46
Parents domestic issues Child anxiety and distress 46
Learning material Child attendance 45
Playing and exercising Child happiness 44
Child attendance Child interest in education 43
Parents domestic issues Lesson learning 43
Family income Child interest in education 42
Child focus on education Child anxiety and distress 41
Child health Child interest in education 41
Child nutrition Child happiness 41
Parent child encouragement Child anxiety and distress 41
Child homework completion Child happiness 40
Child homework completion Lesson learning 40
Child nutrition Child anxiety and distress 39
Child nutrition Lesson learning 39
Family income Learning material 39
Learning material Child health 39
Parent child encouragement Child interest in education 39
Playing and exercising Lesson learning 39
Teacher child encouragement Child happiness 39
Teacher child encouragement Lesson learning 39
Child aim in life Child happiness 38
Child homework completion Child anxiety and distress 38
Child self confidence Child happiness 38
Playing and exercising Child anxiety and distress 38
Parents focus on child education Child happiness 37

Among subgroups. Here are all indirect links that were used at least 75% of the time by either parents, teachers, or children.

Among subgroups - area . Here are all indirect links that were used at least 75% of the time in at least one area.

Loops

One way to focus down models to the systems they express is to only consider nodes that are involved in loops. To do this we construct a list of nodes in models that are reachable from themselves.

This lets us visualize simplified models from each group, with only those elements that are part of the looping structure.

As an example, here’s a comparison of the graph for the whole edgelist of the [1] “./Final - CRAS Kakan Children vensim Chen120122-Khusraw01-08-2023CC4.13.2023SA02.01.2024 NN 17.01.24.mdl” model and a graph of just the looping structures:

Nodes — in loops
What are common nodes across groups when looking just at looping structures? Lesson learning, and Child anxiety and distress appear many more times than the others (connected to >350 nodes, and in more than 75% of models) followed by Child interest in education, Child attendance, and Child health (connected to ~200 nodes, and in more than 50% of models). Other nodes are less common.

node n n_models
Child happiness 698 105
Lesson learning 548 100
Child anxiety and distress 385 89
Child interest in education 240 61
Child attendance 209 64
Child health 193 60
Playing and exercising 115 32
Child self confidence 103 29

Among subgroups. There are also differences among subgroups. For instance, here are all nodes that were used at least 50% of the time by either parents, teachers, or children. All groups frequently used Lesson learning and Child anxiety and distress as key nodes. Child attendance was less frequently mentioned, but similar across groups. In contrast, many fewer child groups used Child interest in education, compared to Parent and Teacher groups; and many fewer teacher groups used Child health compared to children and parent groups (similarly to the results not limiting to loops).

Among subgroups - area. Here are all nodes that were used at least 50% of the time in at least one area.

Direct links (edges) — in loops
What are common direct links across groups when looking just within looping structures?

Although direct links are not widely shared across model-building groups, 10 were used by at least 29 groups. These interact in two joined loops. Note that this isn’t a “consensus” model as it only represents about 28% of the models.

link n_models
Lesson learning Increases Child happiness 76
Child happiness Decreases Child anxiety and distress 75
Child anxiety and distress Decreases Child happiness 65
Child attendance Increases Lesson learning 48
Child happiness Increases Lesson learning 43
Child anxiety and distress Decreases Child health 41
Child happiness Increases Child interest in education 32
Child interest in education Increases Child attendance 32
Child focus on education Increases Lesson learning 30
Child health Increases Child attendance 30

Weighted with line width representing prevalence of link:

Within subgroups. Here are the most-widely shared links (at least 35% of models reporting link) within the group types of: children, parents and teachers.

Group link n_models pct_models
Parents Child happiness Decreases Child anxiety and distress 30 0.79
Parents Lesson learning Increases Child happiness 29 0.76
Children Lesson learning Increases Child happiness 28 0.74
Teachers Child happiness Decreases Child anxiety and distress 21 0.72
Parents Child anxiety and distress Decreases Child happiness 25 0.66
Teachers Lesson learning Increases Child happiness 19 0.66
Children Child happiness Decreases Child anxiety and distress 24 0.63
Children Child anxiety and distress Decreases Child happiness 23 0.61
Teachers Child anxiety and distress Decreases Child happiness 17 0.59
Children Child attendance Increases Lesson learning 20 0.53
Children Child anxiety and distress Decreases Child health 19 0.50
Parents Child attendance Increases Lesson learning 18 0.47
Parents Child happiness Increases Child interest in education 17 0.45
Children Child happiness Increases Lesson learning 17 0.45
Parents Child happiness Increases Lesson learning 17 0.45
Children Lesson learning Increases Child result 17 0.45
Teachers Child focus on education Increases Lesson learning 12 0.41
Teachers Child interest in education Increases Child attendance 12 0.41
Parents Child anxiety and distress Decreases Child health 15 0.39
Children Child health Increases Child attendance 15 0.39
Parents Child interest in education Increases Child attendance 15 0.39
Teachers Child happiness Increases Child interest in education 11 0.38
Teachers Child interest in education Increases Lesson learning 11 0.38
Children Playing and exercising Increases Child happiness 14 0.37

Within subgroups. Here are the most-widely shared links (at least 35% of models reporting link) within area.

Area link n_models pct_models
Ghazni Lesson learning Increases Child happiness 26 0.96
Badakhshan Child happiness Decreases Child anxiety and distress 25 0.93
Jaighori Lesson learning Increases Child happiness 23 0.85
Jaighori Child anxiety and distress Decreases Child happiness 21 0.78
Takhar Child attendance Increases Lesson learning 18 0.75
Badakhshan Child anxiety and distress Decreases Child happiness 20 0.74
Ghazni Child happiness Decreases Child anxiety and distress 19 0.70
Takhar Lesson learning Increases Child happiness 16 0.67
Badakhshan Child anxiety and distress Decreases Child health 17 0.63
Ghazni Child happiness Increases Lesson learning 17 0.63
Jaighori Playing and exercising Increases Child happiness 17 0.63
Takhar Child happiness Decreases Child anxiety and distress 15 0.62
Ghazni Child anxiety and distress Decreases Child happiness 16 0.59
Badakhshan Child attendance Increases Lesson learning 16 0.59
Jaighori Child happiness Decreases Child anxiety and distress 16 0.59
Takhar Child focus on education Increases Lesson learning 14 0.58
Takhar Child health Increases Child attendance 14 0.58
Takhar Child interest in education Increases Child attendance 12 0.50
Badakhshan Child interest in education Increases Child attendance 13 0.48
Takhar Child anxiety and distress Decreases Child focus on education 11 0.46
Jaighori Child happiness Increases Playing and exercising 12 0.44
Jaighori Child interest in education Increases Lesson learning 12 0.44
Takhar Child anxiety and distress Decreases Child health 10 0.42
Jaighori Child focus on education Increases Lesson learning 11 0.41
Badakhshan Child happiness Increases Lesson learning 11 0.41
Badakhshan Lesson learning Increases Child happiness 11 0.41
Takhar Child happiness Increases Child interest in education 9 0.38
Takhar Lesson learning Increases Child aim in life 9 0.38
Badakhshan Child health Decreases Child anxiety and distress 10 0.37
Badakhshan Child health Increases Child attendance 10 0.37
Ghazni Child interest in education Increases Lesson learning 10 0.37
Jaighori Child result Increases Child happiness 10 0.37
Jaighori Lesson learning Increases Child result 10 0.37

Indirect links — in loops

If we expand our models to consider indirect edges (connections between any node in a model and all other nodes reachable from it), there are more similarities: now 32 of these cause-effect pairs are used by at least 37 model-building groups (35% of the overall). Note this does not consider the summed polarity of the connections, just the fact of one node (the ‘effect’) being reach from another (the ‘cause’) through causal connections. This will also show looping structures (e.g. “Lesson learning is downstream of Lesson learning” indicates a loop)

cause effect n_models
Child happiness Child happiness 105
Lesson learning Lesson learning 100
Child happiness Lesson learning 97
Lesson learning Child happiness 96
Child anxiety and distress Child anxiety and distress 89
Child anxiety and distress Child happiness 89
Child happiness Child anxiety and distress 88
Child anxiety and distress Lesson learning 82
Lesson learning Child anxiety and distress 80
Child attendance Child attendance 64
Child happiness Child attendance 62
Lesson learning Child attendance 62
Child interest in education Child interest in education 61
Child attendance Lesson learning 60
Child health Child health 60
Child health Child happiness 59
Child attendance Child happiness 58
Child happiness Child interest in education 58
Child happiness Child health 57
Child interest in education Child happiness 57
Child interest in education Lesson learning 57
Lesson learning Child interest in education 57
Child health Lesson learning 55
Child anxiety and distress Child health 54
Child health Child anxiety and distress 54
Lesson learning Child health 53
Child anxiety and distress Child attendance 50
Child anxiety and distress Child interest in education 48
Child attendance Child anxiety and distress 47
Child interest in education Child anxiety and distress 45
Child interest in education Child attendance 42
Child attendance Child interest in education 41

Among subgroups - role. Here are all indirect links that were used at least 75% of the time by either parents, teachers, or children.

All groups frequently used Lesson learning and Child anxiety and distress as key nodes. Child attendance was less frequently mentioned, but similar across groups. In contrast, many fewer child groups used Child interest in education, compared to Parent and Teacher groups; and many fewer teacher groups used Child health compared to children and parent groups (similarly to the results not limiting to loops).

Group link n_models pct_models
Children Child happiness Child happiness 38 1.00
Parents Child happiness Child happiness 38 1.00
Teachers Child happiness Child happiness 29 1.00
Parents Child happiness Lesson learning 38 1.00
Parents Lesson learning Lesson learning 38 1.00
Children Lesson learning Lesson learning 37 0.97
Children Lesson learning Child happiness 36 0.95
Parents Lesson learning Child happiness 36 0.95
Parents Child anxiety and distress Child anxiety and distress 34 0.89
Parents Child anxiety and distress Child happiness 34 0.89
Parents Child anxiety and distress Lesson learning 34 0.89
Parents Child happiness Child anxiety and distress 34 0.89
Children Child happiness Lesson learning 34 0.89
Teachers Child happiness Lesson learning 25 0.86
Teachers Lesson learning Lesson learning 25 0.86
Parents Lesson learning Child anxiety and distress 32 0.84
Teachers Child anxiety and distress Child anxiety and distress 24 0.83
Teachers Child anxiety and distress Child happiness 24 0.83
Teachers Child happiness Child anxiety and distress 24 0.83
Teachers Lesson learning Child happiness 24 0.83
Children Child anxiety and distress Child anxiety and distress 31 0.82
Children Child anxiety and distress Child happiness 31 0.82
Children Child happiness Child anxiety and distress 30 0.79
Parents Child happiness Child interest in education 30 0.79
Parents Child interest in education Child interest in education 30 0.79
Parents Child interest in education Lesson learning 30 0.79
Parents Lesson learning Child interest in education 30 0.79
Parents Child interest in education Child happiness 29 0.76
Teachers Child interest in education Child interest in education 22 0.76
Children Child anxiety and distress Lesson learning 28 0.74
Children Lesson learning Child anxiety and distress 28 0.74
Children Child health Child health 27 0.71
Teachers Child anxiety and distress Lesson learning 20 0.69
Teachers Child happiness Child interest in education 20 0.69
Teachers Lesson learning Child anxiety and distress 20 0.69
Parents Child anxiety and distress Child interest in education 26 0.68
Children Child health Child happiness 26 0.68
Children Child attendance Child attendance 25 0.66
Parents Child interest in education Child anxiety and distress 25 0.66
Children Lesson learning Child attendance 25 0.66
Teachers Child interest in education Child happiness 19 0.66
Children Child attendance Lesson learning 24 0.63
Children Child happiness Child attendance 24 0.63
Children Child happiness Child health 24 0.63
Parents Child happiness Child health 24 0.63
Parents Child health Child happiness 24 0.63
Parents Child health Child health 24 0.63
Children Child health Lesson learning 24 0.63
Parents Child health Lesson learning 24 0.63
Teachers Child anxiety and distress Child interest in education 18 0.62
Teachers Child attendance Child attendance 18 0.62
Teachers Child interest in education Lesson learning 18 0.62
Teachers Lesson learning Child interest in education 18 0.62
Children Child anxiety and distress Child health 23 0.61
Parents Child anxiety and distress Child health 23 0.61
Children Child attendance Child happiness 23 0.61
Children Child health Child anxiety and distress 23 0.61
Parents Child health Child anxiety and distress 23 0.61
Children Lesson learning Child health 23 0.61
Parents Lesson learning Child health 23 0.61
Teachers Child happiness Child attendance 17 0.59
Teachers Child interest in education Child anxiety and distress 17 0.59
Parents Child attendance Child attendance 21 0.55
Parents Child attendance Lesson learning 21 0.55
Parents Child happiness Child attendance 21 0.55
Parents Lesson learning Child attendance 21 0.55
Teachers Child interest in education Child attendance 16 0.55
Teachers Lesson learning Child attendance 16 0.55
Parents Child attendance Child happiness 20 0.53
Teachers Child attendance Child happiness 15 0.52
Teachers Child attendance Child interest in education 15 0.52
Teachers Child attendance Lesson learning 15 0.52

Among subgroups - area. Here are all indirect links that were used at least 75% of the time in at least one area.

Area link n_models pct_models
Badakhshan Child anxiety and distress Child anxiety and distress 27 1.00
Badakhshan Child anxiety and distress Child happiness 27 1.00
Badakhshan Child happiness Child anxiety and distress 27 1.00
Badakhshan Child happiness Child happiness 27 1.00
Ghazni Child happiness Child happiness 27 1.00
Jaighori Child happiness Child happiness 27 1.00
Takhar Child happiness Child happiness 24 1.00
Ghazni Child happiness Lesson learning 27 1.00
Takhar Child happiness Lesson learning 24 1.00
Ghazni Lesson learning Child happiness 27 1.00
Ghazni Lesson learning Lesson learning 27 1.00
Takhar Lesson learning Lesson learning 24 1.00
Jaighori Lesson learning Child happiness 26 0.96
Jaighori Lesson learning Lesson learning 26 0.96
Takhar Child attendance Child attendance 23 0.96
Takhar Child happiness Child attendance 23 0.96
Takhar Lesson learning Child attendance 23 0.96
Takhar Lesson learning Child happiness 23 0.96
Jaighori Child happiness Lesson learning 24 0.89
Takhar Child attendance Lesson learning 21 0.88
Badakhshan Lesson learning Lesson learning 23 0.85
Takhar Child attendance Child happiness 20 0.83
Jaighori Child anxiety and distress Child anxiety and distress 22 0.81
Jaighori Child anxiety and distress Child happiness 22 0.81
Badakhshan Child anxiety and distress Lesson learning 22 0.81
Badakhshan Child happiness Lesson learning 22 0.81
Takhar Child anxiety and distress Child anxiety and distress 19 0.79
Takhar Child anxiety and distress Child happiness 19 0.79
Takhar Child anxiety and distress Lesson learning 19 0.79
Takhar Child happiness Child anxiety and distress 19 0.79
Takhar Lesson learning Child anxiety and distress 19 0.79
Ghazni Child anxiety and distress Child anxiety and distress 21 0.78
Ghazni Child anxiety and distress Child happiness 21 0.78
Ghazni Child anxiety and distress Lesson learning 21 0.78
Badakhshan Child attendance Child attendance 21 0.78
Ghazni Child happiness Child anxiety and distress 21 0.78
Jaighori Child happiness Child anxiety and distress 21 0.78
Ghazni Lesson learning Child anxiety and distress 21 0.78
Takhar Child anxiety and distress Child attendance 18 0.75
Jaighori Child anxiety and distress Lesson learning 20 0.74
Badakhshan Lesson learning Child anxiety and distress 20 0.74
Jaighori Lesson learning Child anxiety and distress 20 0.74
Badakhshan Lesson learning Child happiness 20 0.74
Takhar Child attendance Child anxiety and distress 17 0.71
Badakhshan Child anxiety and distress Child attendance 19 0.70
Badakhshan Child anxiety and distress Child health 19 0.70
Badakhshan Child attendance Lesson learning 19 0.70
Badakhshan Child happiness Child attendance 19 0.70
Badakhshan Child happiness Child health 19 0.70
Badakhshan Child health Child anxiety and distress 19 0.70
Badakhshan Child health Child happiness 19 0.70
Badakhshan Child health Child health 19 0.70
Badakhshan Lesson learning Child attendance 19 0.70
Badakhshan Child attendance Child anxiety and distress 18 0.67
Badakhshan Child attendance Child happiness 18 0.67
Badakhshan Child interest in education Child interest in education 17 0.63
Jaighori Playing and exercising Child happiness 17 0.63
Jaighori Playing and exercising Playing and exercising 17 0.63
Takhar Child happiness Child interest in education 15 0.62
Takhar Child health Child attendance 15 0.62
Takhar Child health Child happiness 15 0.62
Takhar Child health Child health 15 0.62
Takhar Child health Lesson learning 15 0.62
Takhar Child interest in education Child interest in education 15 0.62
Takhar Lesson learning Child interest in education 15 0.62
Badakhshan Child anxiety and distress Child interest in education 16 0.59
Badakhshan Child happiness Child interest in education 16 0.59
Jaighori Child happiness Playing and exercising 16 0.59
Jaighori Child interest in education Child happiness 16 0.59
Jaighori Child interest in education Child interest in education 16 0.59
Jaighori Child interest in education Lesson learning 16 0.59
Jaighori Lesson learning Child interest in education 16 0.59
Takhar Child attendance Child health 14 0.58
Takhar Child attendance Child interest in education 14 0.58
Takhar Child focus on education Child focus on education 14 0.58
Takhar Child focus on education Lesson learning 14 0.58
Takhar Child happiness Child focus on education 14 0.58
Takhar Child happiness Child health 14 0.58
Takhar Child interest in education Child attendance 14 0.58
Takhar Child interest in education Lesson learning 14 0.58
Takhar Lesson learning Child focus on education 14 0.58
Takhar Lesson learning Child health 14 0.58
Jaighori Child happiness Child interest in education 15 0.56
Badakhshan Child health Lesson learning 15 0.56
Badakhshan Child interest in education Child anxiety and distress 15 0.56
Badakhshan Child interest in education Child happiness 15 0.56
Jaighori Lesson learning Playing and exercising 15 0.56
Jaighori Playing and exercising Lesson learning 15 0.56
Takhar Child focus on education Child attendance 13 0.54
Takhar Child focus on education Child happiness 13 0.54
Takhar Child interest in education Child happiness 13 0.54
Jaighori Child anxiety and distress Playing and exercising 14 0.52
Badakhshan Child attendance Child interest in education 14 0.52
Ghazni Child friendly relationship Child friendly relationship 14 0.52
Ghazni Child happiness Child health 14 0.52
Ghazni Child health Child happiness 14 0.52
Ghazni Child health Child health 14 0.52
Ghazni Child health Lesson learning 14 0.52
Badakhshan Child interest in education Child attendance 14 0.52
Badakhshan Child interest in education Lesson learning 14 0.52
Badakhshan Lesson learning Child health 14 0.52
Ghazni Lesson learning Child health 14 0.52
Badakhshan Lesson learning Child interest in education 14 0.52

Multivariate comparisons

We can make matrices of each of these data types (nodes, direct edges, indirect edges, and each of these in looping structures only and use them to quantitatively display similarity and differences among groups with ordinations, as well as run environmental fit analyses to see if the distance of groups in “model space” (defined, again, by nodes, edges, etc.) fits significantly to geographic area, model-builder Role in the educational system, or other school-level characteristscs to be added later. This analysis runs each of these separately (without correction for multiple analyses) and compare observed fit to that expected by chance based on comparing against 999 randomizations.

Area Role asset_index_group assetindex_Avg pct_male
p-values 0.001 0.001 0.001 0.001 0.001
r-squared 0.343 0.285 0.093 0.381 0.198

Area Role asset_index_group assetindex_Avg pct_male
p-values 0.001 0.001 0.002 0.001 0.010
r-squared 0.400 0.174 0.104 0.433 0.092

Area Role asset_index_group assetindex_Avg pct_male
p-values 0.001 0.001 0.008 0.001 0.001
r-squared 0.328 0.236 0.070 0.300 0.140

Ordination – loops

Area Role asset_index_group assetindex_Avg pct_male
p-values 0.001 0.006 0.054 0.001 0.065
r-squared 0.211 0.065 0.044 0.185 0.053

Area Role asset_index_group assetindex_Avg pct_male
p-values 0.001 0.160 0.004 0.001 0.031
r-squared 0.328 0.031 0.077 0.353 0.072

Area Role asset_index_group assetindex_Avg pct_male
p-values 0.001 0.018 0.067 0.001 0.054
r-squared 0.215 0.062 0.043 0.187 0.057