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The classroom as context for bullying

Rambaran, Johannes Ashwin

DOI:

10.33612/diss.96793146

IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from

it. Please check the document version below.

Document Version

Publisher's PDF, also known as Version of record

Publication date:

2019

Link to publication in University of Groningen/UMCG research database

Citation for published version (APA):

Rambaran, J. A. (2019). The classroom as context for bullying: a social network approach. University of

Groningen. https://doi.org/10.33612/diss.96793146

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S2.1 Results of the goodness of fit statistics

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S2.1.1 Overview of goodness of fit (t) statistics for each classroom victimization network model

seperately included in this study.

Classroom 1 2 3 4 5 6 7 8 9 10 11 12 13 Network effects Arc 0.00 0.06 -0.02 -0.08 0.01 0.12 0.03 0.00 -0.20 0.02 -0.02 -0.05 -0.03 Reciprocity -0.08 1.38 2.03 -0.43 0.72 2.01 0.54 1.00 -0.63 -0.12 -0.24 0.14 -0.09 2-In-Star 0.36 0.11 0.18 -0.15 0.22 0.08 0.06 -0.11 -0.16 0.67 -0.16 -0.12 -0.12 2-Out-Star -0.29 0.07 -0.09 0.16 0.00 0.10 0.02 0.02 -0.14 -0.25 -0.04 -0.10 -0.05 3-In-Star -0.17 0.15 0.37 -0.27 0.61 -0.02 0.21 -0.39 -0.36 -0.13 -0.37 -0.22 -0.26 3-Out-Star -0.45 -0.03 -0.23 0.50 -0.15 0.09 -0.08 -0.06 -0.24 -0.42 -0.13 -0.19 -0.16 Mixed-2-Star -0.49 -0.01 -0.04 -0.13 -0.01 0.10 0.02 -0.03 -0.18 -0.54 -0.05 -0.09 -0.30 030T -0.10 0.63 0.18 1.04 -0.49 0.70 0.35 -0.01 0.73 -0.23 -0.50 -0.18 -0.24 030C -0.05 -0.23 -0.21 -0.13 -0.03 0.75 -0.39 0.40 -0.10 -0.03 -0.06 -0.28 -0.05 Sink -0.03 0.03 -0.05 -0.13 0.01 0.01 0.02 -0.06 -0.19 -0.02 0.01 0.00 -0.01 Source 0.28 0.10 -0.23 0.13 -0.57 -0.06 -0.21 0.65 -0.02 0.43 0.11 0.24 0.24

S2.1 Results of goodness of fit statistics.

The results of the goodness of fit (GoF) statistics for each classroom victimization network

model is presented in S2.1.1 and summarized in S2.1.2. The majority of the classroom

victimization networks were adequately modeled by the effects reported in Table 2.4. This

means no additional network or individual effects in the model were needed to capture

the relational patterns in these victimization networks, most likely because victimization

networks are sparse networks. Accordingly, a small set of network effects suffices (referring

to density, sinks, isolates, in-ties spread, multiple two-paths, and shared in-ties; see Huitsing

et al., 2012; see also Huitsing & Veenstra, 2012).

In one classroom (3), the GoF statistics indicated that reciprocity was not captured

adequately. In addition, in almost half of the classrooms (1, 7, 8, 9, 12, 13, 15, 18, 20, 23, 24,

26) the GoF statistics indicated that reciprocity with regard to age (in various forms, referring

to sum, difference, product) was not modeled adequately. However, these configurations

were only present in four of these classrooms (7, 8, 12, 23). Such configurations were not

related to one particular effect, and because we already included non-reciprocal age-related

effects to test our hypothesis, we decided not to include these extra effects.

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Supplemen

ts

Classroom 1 2 3 4 5 6 7 8 9 10 11 12 13 Isolates 0.02 -0.04 0.02 0.12 0.01 -0.09 -0.05 0.04 0.22 0.02 0.01 0.04 0.02 K-In-Star 0.44 0.08 0.02 -0.06 -0.01 0.12 0.01 0.00 -0.15 0.74 -0.03 -0.05 -0.03 K-Out-Star -0.18 0.09 -0.06 -0.01 0.06 0.10 0.04 0.01 -0.12 -0.13 -0.01 -0.05 -0.01 K-L-Star -0.53 -0.01 0.00 -0.26 0.14 0.28 0.06 -0.20 -0.13 -0.60 -0.10 -0.07 -0.46 K-1-Star -0.49 0.27 -0.19 -0.59 0.04 0.14 0.23 0.02 -0.26 -0.55 -0.04 -0.06 -0.38 1-L-Star -0.53 -0.25 0.16 0.36 0.08 0.26 -0.14 -0.26 0.01 -0.58 -0.04 -0.05 -0.36 TK-Triangle -0.10 0.72 0.20 1.19 -0.49 0.73 0.28 0.08 0.75 -0.23 -0.50 -0.15 -0.26 CK-Triangle -0.05 -0.23 -0.21 -0.13 -0.03 0.90 -0.40 0.40 -0.10 -0.03 -0.06 -0.29 -0.05 DK-Triangle -0.10 0.78 0.23 0.19 -0.49 0.66 0.38 0.12 0.73 -0.23 -0.47 -0.14 -0.28 UK-Triangle -0.10 0.41 0.20 1.41 -0.49 0.76 0.37 -0.03 0.65 -0.23 -0.49 -0.15 -0.28 TK-2-Paths -0.49 0.03 -0.03 -0.09 0.00 0.11 0.01 0.01 -0.14 -0.54 -0.02 -0.05 -0.31 DK-2-Paths -0.29 0.07 -0.04 -0.09 0.04 0.11 0.01 0.00 -0.13 -0.24 0.00 -0.05 -0.02 UK-2-Paths 0.37 0.11 0.22 -0.35 0.29 0.10 -0.04 -0.12 -0.16 0.68 -0.15 -0.08 -0.08 Age effects Sender -0.05 0.03 -0.03 -0.09 -0.02 0.06 -0.10 0.01 0.19 0.03 0.09 0.02 0.03 Receiver 0.00 -0.07 0.04 0.02 -0.02 0.14 0.05 -0.04 0.07 -0.03 0.04 0.06 0.05 Single-Sum -0.03 -0.04 0.00 -0.06 -0.04 0.12 -0.08 0.00 0.22 0.01 0.12 0.04 0.04 Single-Difference -0.01 -0.08 0.82 0.19 -0.10 0.31 -0.42 0.12 -0.40 -0.32 0.39 -0.14 -0.18 Single-Product -0.72 -0.04 -2.13 -0.25 -0.57 0.69 0.40 -0.67 -0.40 0.98 -0.52 -0.19 0.02 Mutual-Sum 1.45 -0.39 -0.08 0.10 -1.46 -1.21 -1.31 1.35 1.64 -2.33 -0.81 -0.96 -1.42 Mutual-Difference 1.51 -1.75 -1.98 -1.67 -2.54 -1.55 -0.18 -0.17 -1.49 -1.67 -1.47 2.28 -1.54 Mutual-Product -1.41 1.75 3.41 1.60 1.87 1.06 -1.15 1.06 0.85 0.20 -0.58 -1.41 1.78 Relative Difference -0.03 0.06 -0.05 -0.10 0.00 -0.12 -0.11 0.03 0.16 0.04 0.01 -0.07 0.00 Gender effects Boy-Boy 0.88 1.27 1.93 4.00 0.02 1.13 0.50 -0.03 6.39 1.32 0.25 1.13 0.03 Girl-Girl 0.03 -0.05 0.02 -1.26 0.05 0.10 -0.85 0.00 -1.51 -0.01 -0.92 -0.99 -0.04 Girl-Boy 0.00 0.08 -0.02 -0.06 -0.02 0.12 0.04 0.00 -0.20 -1.09 -0.01 -0.06 -0.01 Boy-Girl -0.79 -1.42 -1.63 -0.52 -0.05 -1.39 0.00 0.02 -0.84 0.01 0.00 -0.08 -0.03 Grade effects Low-Low -- -- -- -- -- -- -- -- -- -- -- -0.05 0.73 High-High -- -- -- -- -- -- -- -- -- -- -- -0.07 -0.06 Low-High -- -- -- -- -- -- -- -- -- -- -- -0.04 -0.54 High-Low -- -- -- -- -- -- -- -- -- -- -- 0.01 0.02 S2.1.1 Continued.

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Classroom 14 15 16 17 18 19 20 21 22 23 24 25 26 Network effects Arc -0.05 -0.02 0.00 0.05 0.05 -0.18 0.03 -0.08 -0.01 -0.04 0.01 0.04 0.00 Reciprocity 1.22 -0.75 -0.40 0.06 -0.27 0.06 -0.68 -0.38 -0.08 0.59 -0.25 -0.25 -0.03 2-In-Star 0.05 -0.05 -0.19 0.11 0.03 -0.22 -0.14 -0.10 -0.18 0.16 0.36 -0.01 -0.02 2-Out-Star 0.01 0.03 0.40 0.06 -0.02 -0.20 0.05 -0.09 -0.35 0.12 -0.05 -0.02 0.21 3-In-Star 0.36 -0.15 -0.51 0.24 0.07 -0.35 -0.48 -0.12 -0.43 0.56 -0.28 -0.09 -0.19 3-Out-Star -0.20 -0.04 0.53 -0.08 -0.11 -0.33 -0.03 -0.16 -0.47 0.09 -0.29 -0.13 0.17 Mixed-2-Star -0.05 -0.03 0.00 0.05 -0.02 -0.22 -0.01 -0.10 -0.56 -0.11 -0.76 0.00 -0.30 030T 0.51 -0.06 -0.77 0.15 -0.21 -0.49 0.19 -0.05 -0.31 0.45 -0.24 0.14 -0.19 030C -0.48 -0.47 -0.10 -0.35 -0.05 -0.55 -0.33 -0.30 -1.00 -0.42 -0.08 -0.18 -1.00 Sink 0.03 0.01 -0.05 0.03 0.05 -0.05 0.04 -0.02 -0.01 -0.01 0.01 0.07 -0.03 Source -0.09 -0.15 0.37 -0.15 0.06 -0.38 0.59 -0.22 0.31 -0.20 0.61 0.00 0.01 Isolates 0.03 0.04 0.02 -0.05 -0.04 0.18 -0.02 0.05 0.00 0.03 0.01 -0.06 0.07 K-In-Star -0.05 -0.02 0.00 0.04 0.01 -0.17 0.02 -0.10 -0.01 -0.05 0.55 0.03 0.08 K-Out-Star 0.15 0.03 0.25 0.11 0.04 -0.13 0.07 -0.02 -0.22 0.05 0.00 0.04 0.19 K-L-Star -0.09 -0.12 -0.18 0.16 0.08 -0.36 -0.03 0.01 -0.63 -0.16 -0.83 0.20 -0.38 K-1-Star -0.16 0.10 -0.39 0.11 -0.06 -0.17 -0.17 0.05 -0.59 0.13 -0.79 0.17 -0.35 1-L-Star 0.01 -0.23 0.38 0.34 0.10 -0.26 0.17 0.01 -0.59 -0.42 -0.79 0.03 -0.33 TK-Triangle 0.48 -0.11 -0.79 0.23 -0.19 -0.49 0.24 -0.02 -0.31 0.65 -0.24 0.19 -0.19 CK-Triangle -0.49 -0.49 -0.10 -0.38 -0.05 -0.57 -0.33 -0.31 -1.00 -0.43 -0.08 -0.19 -1.00 DK-Triangle 0.47 -0.02 -0.79 0.14 -0.17 -0.49 0.24 -0.07 -0.31 0.40 -0.24 0.28 -0.20 UK-Triangle 0.55 -0.17 -0.79 0.13 -0.19 -0.51 0.06 0.05 -0.31 0.22 -0.24 0.21 -0.19 TK-2-Paths -0.05 0.01 0.03 0.08 0.02 -0.19 0.04 -0.09 -0.57 -0.01 -0.76 0.01 -0.30 DK-2-Paths -0.07 -0.01 -0.01 0.07 0.07 -0.19 0.06 -0.08 -0.34 -0.04 -0.04 0.04 0.25 UK-2-Paths -0.17 -0.11 -0.55 0.18 0.15 -0.22 -0.14 -0.08 -0.16 -0.01 0.38 0.05 -0.01 Age effects Sender 0.01 0.00 -0.01 -0.03 -0.04 0.08 -0.01 0.14 -0.01 0.02 -0.07 -0.03 -0.01 Receiver 0.08 0.04 -0.01 -0.06 0.05 0.16 -0.05 0.05 -0.01 0.01 0.10 0.07 0.01 Single-Sum 0.04 0.02 -0.02 -0.05 -0.01 0.13 -0.02 0.11 -0.02 0.02 0.04 0.02 0.00 Single-Difference -0.64 -0.51 -0.16 -0.30 -0.15 -0.46 0.24 -0.41 -0.47 -0.60 -0.85 0.22 -0.43 Single-Product 0.10 0.21 -0.13 0.17 0.66 0.12 -0.04 0.09 0.36 0.15 0.91 -0.24 -0.01 Mutual-Sum 1.74 0.82 0.65 1.03 -0.90 -1.63 0.87 2.62 -1.16 1.82 -0.01 -0.73 -2.27 Mutual-Difference -0.32 -0.16 -1.09 -0.46 0.32 0.68 1.32 2.43 -2.76 -1.66 -0.59 1.29 -2.68 Mutual-Product -1.75 -1.19 0.48 -0.91 0.45 -0.56 -0.14 -2.45 2.45 0.07 0.26 0.74 3.09 Relative Difference -0.04 -0.03 -0.01 0.06 -0.08 -0.09 0.04 0.12 0.00 0.01 -0.11 -0.07 -0.02

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Supplemen

ts

S2.1.1 Continued.

S2.1.2 Summary of goodness of fit results.

11 Regular single-grade

classrooms 9 Administrative multigrade classrooms 6 Pedagogical multigrade classrooms Summary/conclusion

9 classrooms showed

good fit statistics.a 8 classrooms showed good fit statistics.a 5 classrooms showed good fit statistics.a The majority of victimization networks

were adequately modeled by included effects. 2 classrooms (3 and

6) showed poor fit on reciprocity effect.

Reciprocity (i↔j) was not adequately modeled in two classrooms. Because there are a few of such ties in these classrooms, it was not modeled explicitly. 3 classrooms (3, 5, and 10)

showed poor fit on the mutual age-sum/product effect.

1 classroom (12) showed poor fit on the mutual age sum/difference effect.

3 classrooms (21, 22, and 26) showed poor fit on the mutual age sum/ product effect.

Reciprocity with regard to age effects was not adequately modeled in several classrooms. Because we already included non-reciprocal age effects, and it was not related to one particular age effect, no additional age effects were included.

Notes. aGood/acceptable fit is indicated by t-statistics lower than 2 in absolute terms for effects not included in the

model. Classroom 14 15 16 17 18 19 20 21 22 23 24 25 26 Gender effects Boy-Boy 0.00 0.43 0.99 0.04 1.22 -0.20 -0.01 -0.08 -0.01 -0.05 1.29 0.02 1.71 Girl-Girl -0.06 -1.26 0.04 0.03 0.02 -0.08 -0.01 -0.02 -0.04 -0.03 -0.67 0.04 0.09 Girl-Boy -0.04 0.00 0.05 0.04 0.03 -0.12 0.05 -0.06 0.02 0.00 0.03 0.04 -0.04 Boy-Girl -0.01 0.01 -0.98 0.05 -1.36 -0.18 0.06 -0.07 -0.01 -0.02 -0.91 0.02 -1.12 Grade effects Low-Low -0.04 0.03 1.39 0.02 0.01 0.89 0.02 -0.09 1.25 1.63 0.04 0.03 1.60 High-High 0.04 0.00 -0.02 0.08 0.03 -0.82 0.02 0.00 -0.64 -0.01 -0.12 0.02 0.04 Low-High -0.06 -0.08 0.03 0.06 0.00 -0.17 0.00 -0.10 -0.03 -1.37 -0.04 0.05 0.03 High-Low 0.00 0.02 -0.81 0.02 0.05 -0.18 0.02 -0.02 -0.76 -0.02 0.05 0.03 -1.01

Notes. The table shows the t-statistics for assessment of goodness of fit for each effect included and not included in the model. The t-statistic is calculated with (observation - sample mean) / standard deviation.

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S2 .2 F ore st p lo ts of r esu lts of th e se pa ra te c lassr oo m ER GM an aly sis. O ver al l −8 −4 −1 0 1 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 −6 .4 2 [ −9 .2 0, −3 .63 ] −4 .5 9 [ −7 .2 0, −1 .99 ] −5 .4 0 [ −7 .9 2, −2 .87 ] −0 .8 8 [ −3 .3 6, 1 .6 0] −6 .2 6 [ −8 .8 9, −3 .62 ] −2 .5 3 [ −4 .4 1, −0 .65 ] −0 .1 9 [ −2 .6 4, 2 .2 6] −3 .9 8 [ −6 .0 4, −1 .92 ] −5 .9 2 [ −8 .5 5, −3 .30 ] −3 .5 3 [ −5 .3 3, −1 .73 ] −2 .4 3 [ −5 .4 6, 0 .6 1] −3 .4 9 [ −5 .4 7, −1 .51 ] 0 .3 5 [ −2 .0 0, 2 .7 0] −5 .4 7 [ −8 .5 0, −2 .43 ] −4 .3 4 [ −6 .4 0, −2 .29 ] −3 .9 9 [ −6 .2 1, −1 .76 ] −2 .7 4 [ −4 .9 1, −0 .57 ] 5 .0 7 [ 2 .6 9, 7 .4 5] −2 .8 8 [ −4 .7 7, −0 .99 ] −2 .5 6 [ −4 .8 4, −0 .28 ] −3 .3 9 [ −5 .5 0, −1 .28 ] −0 .7 9 [ −3 .1 8, 1 .6 0] −1 .0 4 [ −3 .8 9, 1 .8 1] −3 .6 0 [ −6 .3 0, −0 .91 ] −2 .1 0 [ −4 .4 9, 0 .2 9] −5 .4 6 [ −7 .9 5, −2 .97 ] −3 .0 0 [ −3 .9 4, −2 .06 ] Dens ity R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] −3 .2 1 [ −4 .5 5, −1 .86 ] −2 .1 5 [ −3 .7 5, −0 .55 ] −4 .2 5 [ −6 .0 2, −2 .48 ] (Q = 23 .0 0, p = 0 .0 0) (Q = 50 .0 2, p = 0 .0 0) (Q = 15 .5 3, p = 0 .0 1) (Q = 97 .8 3, p = 0 .0 0) O ver al l −3 0 1 3 6 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 2 .2 7 [ −0 .6 5, 5 1 .7 8 [ −0 .9 2, 4 −0 .9 5 [ −3 .5 3, 1 1 .4 5 [ −0 .7 0, 3 1 .0 3 [ −1 .5 2, 3 2 .3 0 [ 0 .3 1, 2 .0 8 [ −0 .3 8, 4 1 .8 1 [ −0 .3 7, 4 −1 .8 2 [ −4 .2 9, 0 −0 .7 6 [ −2 .8 2, 1 1 .5 0 [ −1 .2 8, 4 −0 .0 2 [ −2 .0 2, 1 1 .2 7 [ −0 .6 2, 3 4 .5 1 [ 1 .6 3, 2 .1 6 [ −0 .1 7, 4 0 .1 6 [ −2 .1 9, 2 1 .8 9 [ −0 .6 1, 4 1 .3 2 [ −0 .8 5, 3 1 .4 5 [ −0 .4 5, 3 2 .8 7 [ 0 .6 0, 2 .8 3 [ 0 .4 5, −1 .3 3 [ −3 .6 2, 0 0 .9 9 [ −1 .8 9, 3 0 .1 9 [ −2 .4 8, 2 1 .6 3 [ −0 .6 5, 3 1 .1 5 [ −1 .4 1, 3 1 .1 8 [ 0 .6 7, Sinks R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 1.0 9 [ −0 .0 3, 2 .2 1] 1.2 3 [ 0.5 0, 1.9 5] 1.3 9 [ 0.4 0, 2.3 7] (Q = 16 .9 8, p = 0 .0 (Q = 10 .3 9, p = 0 .4 (Q = 4 .45, p = 0 .49) (Q = 32 .2 4, p = 0 .1 S2.2 F or est plots of r

esults of the separat

e classr

oom ER

GM analysis

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Supplemen

ts

O ver al l −2 0 1 3 7 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 .5 3 [ −1 .6 3, 2 .7 0] 1 .3 9 [ −1 .1 1, 3 .8 8] −0 .1 2 [ −2 .4 9, 2 .2 6] 2 .7 1 [ 0 .3 9, 5 .0 3] 0 .9 3 [ −1 .1 5, 3 .0 2] 2 .5 5 [ 0 .6 1, 4 .4 8] 3 .6 6 [ 1 .1 5, 6 .1 7] 1 .1 7 [ −0 .8 7, 3 .2 2] −0 .9 6 [ −3 .0 1, 1 .1 0] −1 .2 7 [ −3 .1 6, 0 .6 1] 2 .9 1 [ 0 .3 4, 5 .4 9] 0 .7 0 [ −1 .2 5, 2 .6 5] 3 .5 0 [ 1 .1 1, 5 .9 0] 2 .5 4 [ −0 .0 1, 5 .0 9] 0 .1 5 [ −1 .9 5, 2 .2 5] 1 .0 4 [ −0 .8 6, 2 .9 3] 1 .6 0 [ −0 .6 4, 3 .8 3] 9 .8 3 [ 7 .4 6, 12 .21 ] 1 .9 9 [ −0 .1 6, 4 .1 3] 2 .2 3 [ −0 .2 7, 4 .7 2] 2 .3 4 [ −0 .0 4, 4 .7 2] 0 .8 5 [ −1 .4 2, 3 .1 1] 4 .9 5 [ 2 .3 7, 7 .5 3] 0 .8 0 [ −1 .7 7, 3 .3 7] 2 .6 4 [ 0 .4 4, 4 .8 5] 0 .5 5 [ −1 .6 0, 2 .7 0] 1 .8 4 [ 1 .0 2, 2 .6 6] Isolat es R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 1.2 5 [ 0.0 3, 2.4 7] 2.5 9 [ 1.0 2, 4.1 7] 1.3 9 [ 0.4 8, 2.3 0] (Q = 21 .8 2, p = 0 .0 1) (Q = 50 .2 8, p = 0 .0 0) (Q = 4 .95, p = 0 .42) (Q = 85 .5 6, p = 0 .0 0) O ver al l −5 −1 −0 .2 5 0.5 1.5 3 26 25 23 22 21 20 19 18 17 16 15 14 13 12 11 9 8 7 6 5 4 3 2 2 .4 5 [ 0 .1 6, 4 .7 0 .6 2 [ −1 .2 4, 2 .4 −0 .4 3 [ −2 .1 7, 1 .3 0 .7 8 [ −1 .4 1, 2 .9 −0 .0 7 [ −1 .6 8, 1 .5 −0 .1 8 [ −1 .8 9, 1 .5 0 .2 6 [ −1 .4 2, 1 .9 1 .4 3 [ −0 .1 8, 3 .0 1 .7 1 [ 0 .4 1, 3 .0 −0 .4 5 [ −2 .5 8, 1 .6 1 .4 1 [ 0 .1 3, 2 .6 −0 .9 2 [ −2 .6 4, 0 .7 1 .9 6 [ −0 .1 2, 4 .0 1 .1 3 [ −0 .4 8, 2 .7 1 .5 3 [ 0 .0 3, 3 .0 −6 .9 6 [ −9 .2 7, −4 .65 0 .2 2 [ −1 .2 9, 1 .7 −0 .1 7 [ −2 .3 1, 1 .9 1 .2 9 [ −0 .0 4, 2 .6 −1 .9 1 [ −3 .7 6, −0 .07 −0 .3 4 [ −2 .1 5, 1 .4 1 .2 6 [ −0 .3 2, 2 .8 0 .9 5 [ −0 .4 9, 2 .4 0 .3 2 [ −0 .3 6, 0 .9 In− ties spread R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 0.8 0 [ 0.1 5, 1.4 5] −0 .3 7 [ −2 .0 0, 1 .2 7] 0.4 6 [ −0 .3 8, 1 .3 1] (Q = 11 .5 2, p = 0 .1 7) (Q = 50 .7 3, p = 0 .0 0) (Q = 4 .41, p = 0 .35) (Q = 69 .9 5, p = 0 .0 0) S2.2 C ontinued .

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O ver al l −1 .5 −1 −0 .2 5 0 0.2 5 1 25 23 21 20 19 18 17 16 15 14 12 11 9 8 7 6 5 4 3 2 0 .6 4 [ −0 .4 8, 1 .7 6] −0 .1 4 [ −1 .0 4, 0 .7 5] 0 .1 3 [ −0 .6 3, 0 .8 9] −0 .2 1 [ −1 .2 4, 0 .8 3] 0 .3 0 [ −0 .4 1, 1 .0 0] −0 .4 8 [ −2 .0 0, 1 .0 4] 0 .0 4 [ −0 .5 6, 0 .6 3] −0 .7 5 [ −2 .4 9, 1 .0 0] −0 .1 0 [ −0 .8 2, 0 .6 2] −0 .3 3 [ −1 .2 1, 0 .5 6] 0 .4 4 [ −0 .4 9, 1 .3 7] −0 .4 2 [ −1 .5 5, 0 .7 2] −1 .0 6 [ −2 .2 7, 0 .1 4] 0 .1 0 [ −0 .5 0, 0 .7 0] 0 .0 7 [ −0 .6 8, 0 .8 1] 0 .1 2 [ −0 .5 3, 0 .7 6] −1 .9 9 [ −3 .7 6, −0 .21 ] −0 .4 3 [ −1 .6 0, 0 .7 4] −0 .0 3 [ −1 .2 4, 1 .1 8] −0 .2 7 [ −1 .2 5, 0 .7 0] −0 .0 4 [ −0 .2 4, 0 .1 5] M ul tipl e tw o−pat hs R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] −0 .0 1 [ −0 .3 1, 0 .3 0] −0 .1 4 [ −0 .4 4, 0 .1 5] 0.1 5 [ −0 .3 7, 0 .6 6] (Q = 3 .37, p = 0 .85) (Q = 8 .45, p = 0 .39) (Q = 1 .16, p = 0 .56) (Q = 14 .0 0, p = 0 .7 8) O ver al l −2 −1 −0 .2 5 0 0.2 5 1.5 25 23 21 20 19 18 17 16 15 14 13 12 11 9 8 7 6 5 4 3 2 −0 .6 1 [ −2 .3 1, 1 0 .0 9 [ −0 .7 9, 0 0 .2 1 [ −0 .3 9, 0 −0 .1 9 [ −1 .3 5, 0 0 .1 9 [ −0 .5 7, 0 0 .2 2 [ −0 .6 4, 1 0 .2 9 [ −0 .2 6, 0 −0 .1 8 [ −1 .6 6, 1 0 .2 3 [ −0 .6 1, 1 0 .1 3 [ −0 .4 0, 0 0 .0 8 [ −0 .9 8, 1 −0 .1 2 [ −1 .4 1, 1 0 .1 4 [ −0 .7 6, 1 0 .1 6 [ −0 .2 5, 0 0 .2 6 [ −0 .2 0, 0 0 .2 6 [ −0 .2 1, 0 −0 .2 9 [ −1 .4 6, 0 −0 .0 5 [ −1 .3 5, 1 −0 .1 8 [ −1 .3 6, 1 −0 .2 5 [ −2 .1 7, 1 −0 .4 7 [ −1 .8 6, 0 0 .1 5 [ −0 .0 2, 0 Sh ar ed i n−t ies R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 0.1 5 [ −0 .1 1, 0 .4 2] 0.1 5 [ −0 .0 8, 0 .3 7] 0.1 1 [ −0 .3 6, 0 .5 8] (Q = 1 .04, p = 1 .00) (Q = 2 .32, p = 0 .97) (Q = 0 .80, p = 0 .67) (Q = 4 .18, p = 1 .00) S2.2 C ontinued .

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Supplemen

ts

O ver al l −3 −1 −0 .2 5 0.5 3 26 25 23 22 21 20 19 18 17 16 14 13 10 8 6 5 3 2 1 1 .1 5 [ −0 .9 9, 3 .3 0] 1 .4 6 [ −0 .6 5, 3 .5 7] −2 .4 0 [ −4 .2 8, −0 .52 ] 0 .3 9 [ −1 .7 9, 2 .5 8] −1 .5 5 [ −3 .3 6, 0 .2 6] 0 .1 4 [ −1 .2 9, 1 .5 7] −1 .1 3 [ −3 .1 7, 0 .9 1] 0 .8 9 [ −1 .0 8, 2 .8 6] −0 .7 9 [ −2 .4 8, 0 .9 0] 1 .0 5 [ −0 .6 0, 2 .7 0] −0 .6 3 [ −2 .0 3, 0 .7 7] 0 .9 5 [ −1 .2 7, 3 .1 8] −0 .8 1 [ −2 .9 3, 1 .3 1] −0 .2 5 [ −1 .6 3, 1 .1 2] −0 .9 0 [ −2 .5 7, 0 .7 7] 1 .1 6 [ −0 .6 5, 2 .9 7] −0 .7 9 [ −2 .5 8, 1 .0 0] −0 .4 8 [ −1 .9 8, 1 .0 2] 0 .5 8 [ −1 .8 8, 3 .0 3] −0 .1 8 [ −0 .6 2, 0 .2 6] G irl −gi rl R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 0.0 0 [ −0 .6 4, 0 .6 4] −0 .2 8 [ −0 .9 3, 0 .3 8] −0 .2 6 [ −1 .7 8, 1 .2 6] (Q = 5 .88, p = 0 .44) (Q = 4 .05, p = 0 .67) (Q = 11 .3 8, p = 0 .0 2) (Q = 21 .9 2, p = 0 .2 4) O ver al l −2 .5 −1 −0 .2 5 0.5 1 3.5 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 9 8 7 6 5 4 3 2 1 1 .0 9 [ −1 .1 5, 3 .3 2 .3 6 [ 0 .1 9, 4.5 1 .8 4 [ −0 .2 3, 3 .9 −0 .3 1 [ −1 .6 7, 1 .0 0 .6 1 [ −1 .3 9, 2 .6 0 .4 6 [ −0 .8 7, 1 .8 −0 .0 9 [ −1 .5 8, 1 .4 0 .8 2 [ −0 .7 6, 2 .4 1 .6 3 [ −0 .1 5, 3 .4 −1 .4 8 [ −3 .1 4, 0 .1 −0 .3 9 [ −2 .2 3, 1 .4 0 .0 7 [ −1 .2 0, 1 .3 −0 .7 2 [ −1 .9 7, 0 .5 1 .2 7 [ −0 .8 2, 3 .3 −0 .1 3 [ −1 .9 9, 1 .7 0 .5 8 [ −0 .7 2, 1 .8 1 .8 3 [ 0 .1 9, 3.4 0 .3 9 [ −0 .9 3, 1 .7 −0 .1 4 [ −1 .6 0, 1 .3 0 .3 8 [ −0 .9 4, 1 .6 0 .1 0 [ −1 .4 4, 1 .6 2 .2 0 [ 0 .2 1, 4.1 −0 .6 2 [ −2 .3 4, 1 .1 0 .1 4 [ −1 .0 7, 1 .3 2 .2 9 [ 0 .1 5, 4.4 0 .3 9 [ 0 .0 6, 0.7 G irl −boy R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 0.0 2 [ −0 .5 7, 0 .6 0] 0.5 3 [ 0.0 6, 1.0 0] 0.7 6 [ −0 .0 4, 1 .5 5] (Q = 10 .2 0, p = 0 .2 5) (Q = 10 .9 8, p = 0 .2 8) (Q = 5 .77, p = 0 .33) (Q = 30 .1 4, p = 0 .1 8) S2.2 C ontinued .

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O ver al l −3 .5 −1 −0 .2 5 0.5 1 3.5 25 23 22 21 20 19 17 15 14 13 12 11 10 8 7 5 −1 .4 4 [ −3 .7 9, 0 .9 1] −1 .6 2 [ −3 .5 8, 0 .3 4] 0 .8 9 [ −1 .0 4, 2 .8 2] −1 .3 8 [ −3 .3 0, 0 .5 4] −1 .6 3 [ −3 .8 1, 0 .5 5] 0 .0 2 [ −1 .9 3, 1 .9 8] −1 .0 1 [ −2 .5 9, 0 .5 8] −1 .3 2 [ −3 .3 6, 0 .7 3] −0 .9 0 [ −2 .3 6, 0 .5 6] 1 .6 1 [ −0 .6 8, 3 .9 1] 0 .6 6 [ −0 .9 7, 2 .2 9] −0 .7 8 [ −2 .7 2, 1 .1 6] −0 .7 6 [ −2 .8 2, 1 .3 0] −0 .3 5 [ −2 .0 2, 1 .3 3] −0 .1 6 [ −1 .8 1, 1 .4 9] −0 .7 1 [ −2 .8 3, 1 .4 0] −0 .5 4 [ −1 .0 1, −0 .07 ] B oy− gi rl R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] −0 .4 2 [ −1 .1 7, 0 .3 3] −0 .5 0 [ −1 .3 3, 0 .3 3] −0 .8 5 [ −2 .0 7, 0 .3 7] (Q = 7 .77, p = 0 .26) (Q = 0 .38, p = 0 .98) (Q = 4 .23, p = 0 .24) (Q = 12 .8 1, p = 0 .6 2) O ver al l −2 −1 −0 .2 5 0.5 1 3.5 26 25 23 21 20 18 17 16 15 14 13 12 0 .1 2 [ −1 .9 3, 2 −0 .8 2 [ −2 .9 7, 1 0 .9 2 [ −0 .4 7, 2 0 .6 7 [ −0 .8 6, 2 −0 .5 3 [ −1 .9 6, 0 1 .1 9 [ −0 .4 9, 2 −0 .8 4 [ −2 .2 0, 0 2 .4 7 [ 0 .3 2, 0 .0 0 [ −1 .2 8, 1 0 .0 8 [ −1 .4 6, 1 1 .0 5 [ −0 .7 9, 2 −0 .7 3 [ −2 .6 9, 1 0 .2 3 [ −0 .2 6, 0 H igh− hi gh R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] NA [NA , NA] −0 .5 0 [ −1 .3 3, 0 .3 3] 0.4 4 [ −0 .4 0, 1 .2 9] (Q = 0 .38, p = 0 .98) (Q = 1 .94, p = 0 .58) (Q = 12 .9 4, p = 0 .3 S2.2 C ontinued .

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Supplemen

ts

O ver al l −4 −1 −0 .2 5 0.5 1 3 26 25 24 22 21 20 19 18 17 16 15 14 12 0 .8 8 [ −1 .0 9, 2 .8 6] −0 .0 7 [ −1 .8 9, 1 .7 5] 3 .2 7 [ 0 .6 1, 5 .9 4] 2 .4 8 [ 0 .4 9, 4 .4 6] −0 .1 5 [ −1 .8 6, 1 .5 6] −1 .3 6 [ −3 .0 9, 0 .3 7] 1 .0 9 [ −0 .5 6, 2 .7 5] −1 .6 5 [ −3 .7 4, 0 .4 4] −2 .6 4 [ −4 .5 3, −0 .75 ] 0 .7 9 [ −1 .6 3, 3 .2 0] −0 .4 0 [ −1 .6 9, 0 .8 9] −0 .4 2 [ −1 .7 4, 0 .9 0] −0 .4 5 [ −2 .1 6, 1 .2 7] −0 .0 1 [ −0 .7 8, 0 .7 7] Low −hi gh R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] NA [NA , NA] −0 .5 0 [ −1 .3 3, 0 .3 3] 1.1 0 [ −0 .1 6, 2 .3 5] (Q = 0 .38, p = 0 .98) (Q = 7 .99, p = 0 .09) (Q = 27 .7 8, p = 0 .0 1) O ver al l −4 −1 −0 .2 5 0.5 1 3 25 24 23 21 20 19 18 17 15 14 13 12 −0 .0 9 [ −1 .9 6, 1 .7 1 .3 0 [ −1 .2 3, 3 .8 0 .0 9 [ −1 .4 7, 1 .6 −0 .5 3 [ −1 .9 0, 0 .8 −0 .4 8 [ −1 .8 5, 0 .9 0 .7 7 [ −0 .8 1, 2 .3 0 .2 1 [ −1 .7 0, 2 .1 −2 .9 9 [ −4 .8 1, −1 .17 −0 .9 9 [ −2 .6 4, 0 .6 −1 .6 8 [ −3 .6 4, 0 .2 0 .6 9 [ −1 .1 8, 2 .5 −0 .8 1 [ −2 .6 6, 1 .0 −0 .4 1 [ −1 .0 0, 0 .1 H igh− low R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] NA [NA , NA] −0 .5 0 [ −1 .3 3, 0 .3 3] −0 .0 5 [ −0 .9 0, 0 .8 0] (Q = 0 .38, p = 0 .98) (Q = 1 .60, p = 0 .66) (Q = 16 .2 0, p = 0 .1 3) S2.2 C ontinued .

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O ver al l −0 .7 5 −0 .1 0 0.1 0.3 0.7 5 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 .0 2 [ −0 .6 7, 0 .7 1] −0 .0 8 [ −0 .7 6, 0 .6 0] 0 .2 2 [ −0 .5 3, 0 .9 7] 0 .0 1 [ −0 .5 3, 0 .5 6] −0 .0 7 [ −0 .7 5, 0 .6 0] −0 .0 0 [ −0 .4 6, 0 .4 5] −0 .0 0 [ −0 .3 5, 0 .3 5] 0 .0 4 [ −0 .3 2, 0 .4 1] −0 .0 5 [ −0 .6 0, 0 .4 9] 0 .0 0 [ −0 .4 4, 0 .4 5] 0 .1 3 [ −0 .3 9, 0 .6 6] 0 .0 2 [ −0 .4 3, 0 .4 7] 0 .0 2 [ −0 .4 4, 0 .4 8] 0 .0 9 [ −0 .6 1, 0 .7 8] 0 .0 0 [ −0 .3 9, 0 .4 0] 0 .0 8 [ −0 .3 5, 0 .5 0] 0 .0 4 [ −0 .7 0, 0 .7 7] 0 .0 3 [ −0 .5 3, 0 .5 8] 0 .0 0 [ −0 .3 6, 0 .3 6] 0 .0 5 [ −0 .4 3, 0 .5 3] 0 .0 9 [ −0 .4 8, 0 .6 5] 0 .1 8 [ −0 .3 8, 0 .7 4] −0 .0 0 [ −0 .4 8, 0 .4 8] 0 .0 8 [ −0 .4 5, 0 .6 2] −0 .0 7 [ −0 .5 9, 0 .4 5] −0 .0 4 [ −0 .7 6, 0 .6 8] 0 .0 3 [ −0 .0 7, 0 .1 2] A ge− receiver R eg ul ar S ingl e− G rade Admi ni strati ve M ul ti−G ra de Ped ag ogi ca l M ul ti−Gr ade Es t. [9 5% CI] 0.0 2 [ −0 .1 2, 0 .1 7] 0.0 4 [ −0 .1 2, 0 .1 9] 0.0 1 [ −0 .2 4, 0 .2 5] (Q = 0 .33, p = 1 .00) (Q = 0 .61, p = 1 .00) (Q = 0 .43, p = 0 .99) (Q = 1 .41, p = 1 .00) S2.2 C ontinued .

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S3.1 Visualization of the goodness of fit for each school

S3.2 Overview of the descriptive statistics for each school summarized in Table 3.1

S3.3 Meta-analysis of school-wide victimization networks without controlling for school size

S3.4 Forest plots of results summarized for all schools and for three school types

S3.5 Meta-analysis of school-wide victimization networks with the same model specification

S3.6 Relative contribution of effects contributing to peer victimization

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S3 .1 R es ul ts of g oo dn ess of fi t st ati sti cs fo r e ac h sc ho ol n etw or k mo de l. Sc ho ol Outde gr ee d istr ib ut io n Ind egr ee d ist rib ut io n Ge ode sic d ista nc e Tr iad ce ns us 1 2 Fit on Out−Deg S1 Sttistic ● 6 0 1 2 3 4 5 p: 0.63 ● ● 157 ● 10 ●2 ●5 ● ● 0 Fit on In−Deg S1 Statistic ● 3 ● 0 1 2 3 4 5 p: 0.203 ●140 27 ●9 ●2 ● 1 Fit on Geo−Dis S1 3 p: 0.318 Statistic 1 2 4 5 ● ● ● ●● ● ●262 ● 196 ●172 140 154 Fit on T ri−Ce n S1 Statistic (centered and s caled) ● ● ● ●23 6 ●919 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.592 300 ●●3 ● ● 5875 0 ● ● 11 4●48 ● 11 ● ● ● ● ● ● ● ● ● 0 0 0 0 0 0 0 0 0 Fit on Out−Deg S2 Statistic ● ● ● ● 123 0 1 2 3 4 5 p: 0.199 ● 8 ● 3 ●7 ●6 35 Fit on In−Deg S2 Statistic ● ● ● ● 111 ● 0 0 1 2 3 4 5 p: 0.528 ●21 ● 12 ● 3 35 Fit on Geo−Dis S2 3 p: 0.069 Statistic 1 2 4 5 ● ● ● ● 298 ●806 ● 1034 ●1008 ● 976 Fit on T ri−Ce n S2 Statistic (centered and s caled) ● ● ● ● ● ● ● 24 6 ●●50 1 62 1 ● 01 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.869 300 ●0 ●1 ● ● ● 41 7●228 ●138 ●83 ● 5 ● 28 ●22 ● 0 ● 3 ●0 ●0 ●0 S3 .1 R es ul ts of g oo dn ess of fi t st ati sti cs fo r e ac h sc ho ol n etw or k mo de l. Sc ho ol Outde gr ee d istr ib ut io n Ind egr ee d ist rib ut io n Ge ode sic d ista nc e Tr iad ce ns us 1 2 Fit on Out−Deg S1 Sttistic ● 6 0 1 2 3 4 5 p: 0.63 ● ●157 ●10 ● 2 ● 5 ● ● 0 Fit on In−Deg S1 Statistic ● 3 ● 0 1 2 3 4 5 p: 0.203 ● 140 27 ● 9 ● 2 ●1 Fit on Geo−Dis S1 3 p: 0.318 Statistic 1 2 4 5 ● ● ● ●● ● ●262 ● 196 ● 172 140 154 Fit on T ri−Ce n S1 Statistic (centered and s caled) ● ● ● ●23 6 ●919 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.592 300 ●●3 ● ● 5875 0 ● ● 11 4●48 ●11 ● ● ● ● ● ● ● ● ● 0 0 0 0 0 0 0 0 0 Fit on Out−Deg S2 Statistic ● ● ● ●123 0 1 2 3 4 5 p: 0.199 ● 8 ● 3 ● 7 ● 6 35 Fit on In−Deg S2 Statistic ● ● ● ●111 ●0 0 1 2 3 4 5 p: 0.528 ●21 ●12 ● 3 35 Fit on Geo−Dis S2 3 p: 0.069 Statistic 1 2 4 5 ● ● ● ● 298 ● 806 ●1034 ● 1008 ●976 Fit on T ri−Ce n S2 Statistic (centered and s caled) ● ● ● ● ● ● ● 24 6 ●●501 621 ● 01 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.869 300 ● 0 ● 1 ● ● ●41 7 ●228 ● 138 ● 83 ●5 ●28 ● 22 ● 0 ● 3 ● 0 ● 0 ● 0 S3.1

Results of goodness of fit statistics f

or each school net

w

or

k model

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Supplemen

ts

3 4 5 Fit on Out−Deg S3 Statistic ● ●0 ● ● 0 1 2 3 4 5 p: 0.177 ● 2 ●190 ●13 ● 12 ● 0 Fit on In−Deg S3 Statistic ● ● ● 173 0 1 2 3 4 5 p: 0.249 ●34 ●7 3 Fit on Geo−Dis S3 3 p: 0.343 Statistic 1 2 4 5 ● ●132 ● 258 ● 248 ●134 ● 52 Fit on T ri−Ce n S3 Statistic (centered and s caled) ● ● 39 9 ● 78 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.1 12 300 ● ●21● ● ● ● ●64 1 ● 3 ● ●23 ● 16 ● ● 4 ● ● ● ● 6 ● ● ● 424675 4 0 1 0 0 0 0 Fit on Out−Deg S4 Statistic ● ● 19● 0 1 2 3 4 5 p: 0.121 ● 177 ● 16 ● ● 4 ● ● 9 5 Fit on In−Deg S4 Statistic ● ●152 0 1 2 3 4 5 p: 0.967 ● 9 ● 7 ● 2 39 24 Fit on Geo−Dis S4 3 p: 0.215 Statistic 1 2 4 5 ● ● ● ● 330 ● 976 ● 1222 ● 1056 ● 786 Fit on T ri−Ce n S4 Statistic (centered and s caled) ● ● 16 7● 14 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.645 300 ● ● ● ● ● ● 0 ● 4 ●●1 ● ● 1 ● ● 515331 ● 11 7 ● 8 23 5●12 8 ● 13 0 ● 36 ● ●24 ● 2 ● 2● 0 46 Fit on Out−Deg S5 Statistic ● 30● 0 1 2 3 4 5 p: 0.086 ● ●241 ● 23 ● 9 ●15 ● 6 Fit on In−Deg S5 Statistic ● ● ●205 0 1 2 3 4 5 p: 0.734 ●17 ●7 ● 4 60 33 Fit on Geo−Dis S5 3 p: 0.394 Statistic 1 2 4 5 ● ● 728 ●2778 ● 4916 ●5154 ●2418 Fit on T ri−Ce n S5 Statistic (centered and s caled) ● 16 0 ●● 69 505 56 ● 18 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.157 300 ●● ●91 ● ● ●● ● 8 ● ● ● ●2175 ●80 3 ●55 8 ● ● ●0 ● 15 ● ● 6 ●1 348 63 72 6 11 S3.1 Continued .

(17)

6 7 8 Fit on Out−Deg S6 Statistic ● ● 301 0 1 2 3 4 5 p: 0.984 ● 40 ● 27 ● 18 ● 7 ● 4 Fit on In−Deg S6 Statistic ● ●258 0 1 2 3 4 5 p: 0.913 ●15 ●10 ●5 74 40 Fit on Geo−Dis S6 3 p: 0.315 Statistic 1 2 4 5 ● ● ● ●612 ●2230 ●2294 ●2604 ● 2068 Fit on T ri−Ce n S6 Statistic (centered and s caled) ● ● ● ● ● 27 2 ●● 80 586 74 ● 51 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.054 300 ● ● ● 16 ●● 3 ● ●● ●● 2 ●● 0 ● 24 4 ● 7 738 ●324 ●144 ●24 ● 12 0● ●0 ●5 45 2 Fit on Out−Deg S7 Statistic ● 314 ● 17 ● 14 ● 5 ● 2 0 1 2 3 4 5 p: 0.992 52 Fit on In−Deg S7 Statistic ● 315 0 1 2 3 4 5 p: 0.765 ●50 ●23 ●7 ● 8 ●4 Fit on Geo−Dis S7 3 p: 0.084 Statistic 1 2 4 5 ● ● 442 ● ● ● ●1424 ● 2262 ● 2788 ● 2172 Fit on T ri−Ce n S7 Statistic (centered and s caled) ●● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.466 300 ● ● ● ● ● ● ● ● ● ● 32 ● 0 ●●0 ●●0 ● ● ● 1 ● 0 ● ● 0 ● 43126 ● 197 ●321 ● 369 ● 13 5 ● 1 ●5 ● 2827453 0 Fit on Out−Deg S8 Statistic ● 327 ●12 ● 4 ●3 0 1 2 3 4 5 p: 0.565 ● 41 ● 25 Fit on In−Deg S8 Statistic ● ● ● 307 ● 4 ●2 0 1 2 3 4 5 p: 0.433 ●62 ● 27 ●14 Fit on Geo−Dis S8 3 p: 0.192 Statistic 1 2 4 5 ●● ● ● ● 408 ● 1124 ● 1798 ● 1710 1312 Fit on T ri−Ce n S8 Statistic (centered and s caled) ● ● ● ● ● ● ● ● ● 0 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.73 300 ●2958013 ● ● 599 ●31 1 ● 209 ●99 ● 11 ● 11 ● 16 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 40299 S3.1 Continued .

(18)

Supplemen

ts

9 10 11 Fit on Out−Deg S9 Statistic ● ●60 ● ● ● ● ● 0 ● 0 0 1 2 3 4 5 p: 0.47 ●3 ● ●3 4 Fit on In−Deg S9 Statistic ● ● 4 ● ● 0 1 2 3 4 5 p: 0.921 ● 53 ●10 ● 4 ● 1 0 Fit on Geo−Dis S9 3 p: 0.245 Statistic 1 2 4 5 ● ● 136 ● ● ● 50 ● ● 22 ● ● 68 Fit on T ri−Ce n S9 Statistic (centered and s caled) ● ● ● 13228 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.852 300 ● ● ●16 ● 25 ● ● ● ●0 ● ●6● ● ● 0 ● 0 ● 955 ●0 ● 49 ● 0 ● 1 ● 0 ● 0 ● 0 ● 0 Fit on Out−Deg S10 Statistic ● 6 ● ● 1 ●0 ●0 ● ●0 ● ● 0 1 2 3 4 5 p: 0.081 ● 69 Fit on In−Deg S10 Statistic ● ● ●68 ● ●0 ●0 ●0 0 1 2 3 4 5 p: 0.451 ●5 ●3 Fit on Geo−Dis S10 3 p: 0.817 Statistic 1 2 4 5 ● ● ● ● 2 ● ● 28 ●22 ●18 ● 10 Fit on T ri−Ce n S10 Statistic (centered and s caled) ● 164 9 ●0 003 012 102 021 D 02 1U 021 C 111 D 11 1U 030 T 030 C 201 120 D 12 0U 120 C 210 p: 0.5 56 ●0 ● ● ● ●368 ● 10 ● 3 ● 1 ●0 ●0 ●0 ●0 ●0 ●0 ●0 ●0 ●0 Fit on Out−Deg S11 Statistic ● 74 2● 4 ● ●0 ● 0 ● ● 0 1 2 3 5 p: 0.525 ● 3 ● 1 Fit on In−Deg S11 Statistic ●69 ● ● 0 ● 0 0 1 2 p: 0.861 3 4 9 ● 2 Fit on Geo−Dis S11 3 p: 0.926 Statistic 1 2 4 5 ● ● ●●12 ● ● 26 ●2 ●0 Fit on T ri−Ce n S11 Statistic (centered and s caled) ● ● ● ● 13 ●0 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.671 300 ● ●0 ●19281 ● 464 ● 2 ●0 ●0 ●0 ●0 ●0 ●0 ●0 ●0 ●0 ●0 S3.1 Continued .

(19)

12 13 14 Fit on Out−Deg S12 Statistic ●86 ●4● ● 1 ● 1 ●0 0 1 2 3 4 5 p: 0.065 ●8 Fit on In−Deg S12 Statistic ● ● 19 ● ● 1 ● 0 1 2 3 4 5 p: 0.578 ●73 ● 4 ●3 ● 2 Fit on Geo−Dis S12 3 p: 0.01 Statistic 1 2 4 5 ● ● ● 198 ● ● 98 ●322 ●62 ●22 Fit on T ri−Ce n S12 Statistic (centered and s caled) ● ●39 4 ●●4720 1 ●●3 0 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.324 300 ● ● ●0 ● ●0 ●0 ●0 ●0 ●0 ●0 ●0 ● 148 ●27 ● 7 ●0 ●8 Fit on Out−Deg S13 Statistic ● ●●0 0 1 2 3 4 5 p: 0.126 ● 88 ● 5 ● ● 0 11 1 Fit on In−Deg S13 Statistic ● ● 87 ●2 ● 1 ● 1 ● 0 0 1 2 3 4 5 p: 0.935 14 Fit on Geo−Dis S13 3 p: 0.39 Statistic 1 2 4 5 ● ● ●88 ● 62 ● 16 ●0 Fit on T ri−Ce n S13 Statistic (centered and s caled) ● ● ● ● ● ● ● 45323 003 012 102 021 D 02 1U 021 C 111 D 11 1U 030 T 030 C 201 120 D 12 0U 120 C 210 p: 0.4 03 ●1477 0 ● ●26 ● 26 ● 0 ● ● ●0 ● ● ● ● ● ● 0 0 0 0 0 0 0 0 Fit on Out−Deg S14 Statistic ● ● 86 0 1 2 3 4 5 p: 0.943 ● 10 ● 5 ● 5 Fit on In−Deg S14 Statistic ● 88 ● ●0 ●0 0 1 2 3 4 5 p: 0.53 ●4 ●4 10 Fit on Geo−Dis S14 3 p: 0.907 Statistic 1 2 4 5 ● 158 ●102 ●84 ● 152 ● ●32 Fit on T ri−Ce n S14 Statistic (centered and s caled) ● 19 4● 4 48 ● 26 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.993 300 ● ● 2 ● ● ● ● ● ● 46 ● 14 ● 2 ●4 ●0 ●0 ●0 ●0 ●0 ●0 ●0 47522 S3.1 Continued .

(20)

Supplemen

ts

15 16 17 Fit on Out−Deg S15 Statistic ● ● ●91 0 1 2 3 4 5 p: 0.154 ●9 ●8 ●2 ● 1 ● 0 Fit on In−Deg S15 Statistic ●87 ● ● ●0 0 1 2 3 4 5 p: 0.864 ●5 ● 3 15 2 Fit on Geo−Dis S15 3 p: 0.794 Statistic 1 2 4 5 ● ●82 ●124 ● 128 ●80 ●28 Fit on T ri−Ce n S15 Statistic (centered and s caled) ●201 5 ● 003 012 102 021 D 02 1U 021 C 111 D 11 1U 030 T 030 C 201 120 D 12 0U 120 C 210 p: 0.4 28 ●●8 ●2● ● ●52 ● 36 ●23 ● ● 3 ● ● ● ● ● ● 53301 0 0 0 0 0 0 0 Fit on Out−Deg S16 Statistic ● ● 121 0 1 2 3 4 5 p: 0.634 ●4 ●1 ●1 ● ● 0 0 Fit on In−Deg S16 Statistic ● 11 4 ●1 ●0 ●0 0 1 2 p: 0.915 3 4 13 Fit on Geo−Dis S16 3 p: 0.752 Statistic 1 2 4 5 ● 40 ● ● 30 ●●4 ● 0 ● 0 Fit on T ri−Ce n S16 Statistic (centered and s caled) ● ●1 ● ●0 ●0 ● 0 003 012 102 021 D 02 1U 021 C 111 D 11 1U 030 T 030 C 201 120 D 12 0U 120 C 210 p: 0.8 79 ●824 1 ●889 0 ●0 ●19 ●0 ●0 ●0 ●0 ●0 ●0 ●0 Fit on Out−Deg S17 Statistic 15● ● 0 1 2 3 4 5 p: 0.264 ● ● 4 ● 105 ●13 ● ● 3 ● ● 2 Fit on In−Deg S17 Statistic ● ● ● 2 ● ● 0 1 2 3 4 5 p: 0.062 ● 11 0 ● 15 ●8 ● 1 3 Fit on Geo−Dis S17 3 p: 0.187 Statistic 1 2 4 5 ● ● ● ●324 ●362 ● 296 ● 160 150 Fit on T ri−Ce n S17 Statistic (centered and s caled) ● ● 45 3 ●● 718 1 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.146 300 ● ● ● ●●4 ● ●0 ●0 ●0 ●0 ● ●0 ● ●55 ● 92 ● 44 ●20 ●7 ●1 ● 1 109368 S3.1 Continued .

(21)

18 19 20 Fit on Out−Deg S18 Statistic ● 123 ● ● 0 0 1 2 3 4 5 p: 0.735 ● 4 ●3 ●3 15 Fit on In−Deg S18 Statistic ● 123 ● ●1 ● 0 1 2 3 4 5 p: 0.249 ● 4 ● 16 2 2 Fit on Geo−Dis S18 3 p: 0.103 Statistic 1 2 4 5 ● ● ● ●88 ●168 ● 132 ● 94 ● 11 0 Fit on T ri−Ce n S18 Statistic (centered and s caled) ● ● ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.515 300 ● ● ● ● 126578 ●2973 0 ● 30 ● 35 ● 31 ● ● 0 0 ●1 0 0 0 0 0 0 0 ● ● ● ● ● ● ● Fit on Out−Deg S19 Statistic ● ●129 1 ●0 0 1 2 3 4 5 p: 0.203 ● 7 ● 8 Fit on In−Deg S19 Statistic 16 ●●3 ● 3 ● 2 ●0 0 1 2 3 4 5 p: 0.592 ● 125 Fit on Geo−Dis S19 3 p: 0.913 Statistic 1 2 4 5 ● ● ● ● ● 92 ● 156 ● 162 ● 11 4 ● 66 Fit on T ri−Ce n S19 Statistic (centered and s caled) ● ● ● 43 ● 41 ● 0 ● ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.562 300 ● ● 0 ● 0 ● 131791 ● 3164 ● 7 ● 4 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 Fit on Out−Deg S20 Statistic ● ● ● 11 0 0 1 2 3 4 5 p: 0.826 ● 18 ●9 ● 3 ● 2 ● 3 Fit on In−Deg S20 Statistic ● ● ● 93 ● ● 0 0 1 2 3 4 5 p: 0.205 ● 21 ●10 ●9 18 Fit on Geo−Dis S20 3 p: 0.733 Statistic 1 2 4 5 ● ● ● ●354 ●254 ●●106 ●718 ●744 Fit on T ri−Ce n S20 Statistic (centered and s caled) ●13 1 ●●75 8 20 6● 8 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.845 300 ● ● ● ● ●104 ●1● ●●0 ● ● ●0 ●0 ● 0 ●25 4 ● 26 5 ●93 ●13 ●26 ● 22 ●1 ●1 S3.1 Continued .

(22)

Supplemen

ts

21 22 23 Fit on Out−Deg S21 Statistic ● ● 129 0 1 2 3 4 5 p: 0.772 ●8 ● 2 ● 1 ● 1 15 Fit on In−Deg S21 Statistic ● 126● ● ● ● 0 1 2 3 4 5 p: 0.153 ● 19 ● 7 ● 3 1 0 Fit on Geo−Dis S21 3 p: 0.385 Statistic 1 2 4 5 ● ● ● ●92 ● 98 ● 78 ● 52 ● 44 Fit on T ri−Ce n S21 Statistic (centered and s caled) ●148 7 ●16 003 012 102 021 D 02 1U 021 C 111 D 11 1U 030 T 030 C 201 120 D 12 0U 120 C 210 p: 0.1 78 ● ● ●0 ●0 ● ●0 ● ●3379 ●0 ●27 ● 19 ● 8 ● 3 ●0 ●0 ●0 ●0 ●0 Fit on Out−Deg S22 Statistic ● 138 0 1 2 3 4 5 p: 0.99 ● 2 ● 2 ●1 ●1 16 Fit on In−Deg S22 Statistic ● 134 ● ●0 ●0 0 1 2 3 4 5 p: 0.939 ●5 19 2 Fit on Geo−Dis S22 3 p: 0.293 Statistic 1 2 4 5 ● ● ● 76 ● ● 66 ● ●40 ● 22 ●6 Fit on T ri−Ce n S22 Statistic (centered and s caled) ● ● 23 3● 4 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.685 300 ● ● ● ● ● ● ● 161792 ●14 9 ●19 ● 7 ● 11 ● ● 4 ● 1 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 3 Fit on Out−Deg S23 Statistic ● 166 ● 5 0 1 2 3 4 5 p: 0.994 ● 24 ● 15 ●16 ● 10 Fit on In−Deg S23 Statistic ● ● ● 35 ● ● 4 0 1 2 3 4 5 p: 0.463 ●155 ● 16 ● 11 ● 13 Fit on Geo−Dis S23 3 p: 0.06 Statistic 1 2 4 5 ● ● ● ● ●2372 ● 2054 ●478 ●1710 ● 1038 Fit on T ri−Ce n S23 Statistic (centered and s caled) ●56 3 ●●2 6503 3 ● 99 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.091 300 ●32 3 ● ●49● ● ● ● ● ●● ●●1 ● 4 ● ● ●853 ●516 ●219 ● 31 ●38 ●0 ●10 ● 1 ● 0 0 S3.1 Continued .

(23)

24 25 26 Fit on Out−Deg S24 Statistic ●222 ●4 ● 2 0 1 2 3 4 5 p: 0.866 ● 13 ● 11 33 Fit on In−Deg S24 Statistic ●204 ● 3 ● 2 0 1 2 3 4 5 p: 0.138 ● 54 ● 16 ● 8 Fit on Geo−Dis S24 3 p: 0.01 1 Statistic 1 2 4 5 ● ● ● ● 276 ●520 ● 574 ● 582 ● 560 Fit on T ri−Ce n S24 Statistic (centered and s caled) ● ● ● ● ● ● ● ● ● ●0 003 012 102 021 D 02 1U 021 C 111 D 11 1U 030 T 030 C 201 120 D 12 0U 120 C 210 p: 0.6 92 ● 955399 ● 18989 ● 0 ● 140 ●86 ● 67 ●0 ● 7 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 Fit on Out−Deg S25 Statistic ● 270 ●8 ● 4 ● 2 ● 2 0 1 2 3 4 5 p: 0.518 ● 21 Fit on In−Deg S25 Statistic ● ●262 ● ●0 ●0 0 1 2 3 4 5 p: 0.099 ● 30 ● 7 ● 8 Fit on Geo−Dis S25 3 p: 0.332 Statistic 1 2 4 5 ● ●● ● ●292 ● 176 ●398 ●332 ● 384 Fit on T ri−Ce n S25 Statistic (centered and s caled) ● 12 7 ● 93 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.643 300 ● 79 ● ● ● ● ●0 ●0 ● ●0 ●0 ● ●143 ● ● 48 ● 5 ● 4 ●9 ● 1 ●0 ●0 1204175 11 3 Fit on Out−Deg S26 Statistic ● 236 0 1 2 3 4 5 p: 0.801 ●18 ●14 ● 8 ● 4 43 Fit on In−Deg S26 Statistic ● ●195 0 1 2 3 4 5 p: 0.926 ● 29 ●16 ● 7 ● 6 77 Fit on Geo−Dis S26 3 p: 0.073 Statistic 1 2 4 5 ● ● ● ● ● 3216 ●590 ● 1926 ●2772 ●2520 Fit on T ri−Ce n S26 Statistic (centered and s caled) ● ● ● ● 15 3 ●●254 55 75 ●53 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.271 300 ● 63 1 ● 32 5● ●● ●3 ●0 ● ● 5 ● ● ●1● ● 1089 ●223 ● 20 ●45 ● 31 ●5 ●0 0 S3.1 Continued .

(24)

Supplemen

ts

27 28 29 Fit on Out−Deg S27 Statistic ● ●1 0 1 2 3 4 5 p: 0.879 ●● 2 ● 2 ● 109 ●8 ● 3 ● ● Fit on In−Deg S27 Statistic ● 3 0 1 2 3 4 5 p: 0.635 ● 104 ●11 ● 6 ● 1 ● ● 0 Fit on Geo−Dis S27 3 p: 0.457 Statistic 1 2 4 5 ● 208 ● ● 136 ●90 ● ●30 ●●0 Fit on T ri−Ce n S27 Statistic (centered and s caled) ● 76 8 ●23 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.274 300 ● ●44● ● ● ● 2458 0 ● ●79 ●13 ● ● ● ●1 ● ● ● ● ● ● 0 0 4 0 0 0 0 0 0 Fit on Out−Deg S28 Statistic ● ● ● 131 0 1 2 3 4 5 p: 0.101 ●8 ●7 ●0 ●0 ●0 Fit on In−Deg S28 Statistic ● ● ● 130 0 1 2 3 4 5 p: 0.241 ● 11 ● 4 ●1 ●0 ●0 Fit on Geo−Dis S28 3 p: 0.974 Statistic 1 2 4 5 ● ● ● ● ● 42 ● 38 ● 24 ● 16 ●6 Fit on T ri−Ce n S28 Statistic (centered and s caled) ● ● ● ● 1229 2● 0 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 030 C 201 120 U p: 0.209 ● 5 ● ● ●1384 ● 69 ●1 ●6 ● 1 ● 6 ● 0 ● 0 ● 0 ● 0 Fit on Out−Deg S29 Statistic ● 171 ●2 ● 1 ● 1 ● 0 ● 0 0 1 2 3 4 5 p: 0.929 Fit on In−Deg S29 Statistic ● 164 0 1 2 p: 0.757 3 4 ● 10 ●2 ● 0 ● 0 Fit on Geo−Dis S29 3 p: 0.81 Statistic 1 2 4 5 ● 52 ● ●28 ●14● ●0 ●0 Fit on T ri−Ce n S29 Statistic (centered and s caled) ● 21 8 ●● 29 161 4 ●● 9 0 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.772 300 ● ● 1 ● 1 ● 0 ● 0 ● ● 1 ● 24 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 S3.1 Continued .

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30 31 Fit on Out−Deg S30 Statistic ● ● ● 195 1 ●0 0 1 2 3 4 5 p: 0.645 ● 8 ● ● 19 4 Fit on In−Deg S30 Statistic ● ●3● ● 0 1 2 3 4 5 p: 0.247 ● 3 ● 204 ● 15 ● 1 ● 1 Fit on Geo−Dis S30 3 p: 0.943 Statistic 1 2 4 5 ● ● ● ● ● 148 ● 462 ●500 ● 208 ● 38 Fit on T ri−Ce n S30 Statistic (centered and s caled) ● ● ● 0 ● ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.457 300 ● 485778 ● 7710 ●97 ● 183 ● 34 ● 0 ● 0 ●8 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 ● 0 Fit on Out−Deg S31 Statistic ●444 ● 4 ● 2 0 1 2 3 4 5 p: 0.786 ● 56 ● 31 ●8 Fit on In−Deg S31 Statistic ● 422 ● 3 ● 2 0 1 2 3 4 5 p: 0.955 ● 79 ● 29 ●13 Fit on Geo−Dis S31 3 p: 0.013 Statistic 1 2 4 5 ● ● ● ●486 ●1786 ●1518 ● 748 ● 524 Fit on T ri−Ce n S31 Statistic (centered and s caled) ● ● ● 15 7 ● 745 8 ● 41 7 ● 003 012 102 021 D 021 U 021 C 111 D 111 U 030 T 03 0C 201 120 D 120 U 120 C 210 p: 0.332 300 ● ● ● ● 2 ●0 ●1 ● ● ● ● ●0 ●0 ●6866803 ●62 6 ● 94 ● ● ●13 9 ●6 ●46 ●46 ●9 ● 2 S3.1 Continued .

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Supplemen

ts

S3.2 O ver vie w of the descr iptiv e statistics summar iz ed in Table 3.2. Stable (schools 1 t o 8) Unstable administr ativ e-gr ade (schools 9 t o 26) School 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total siz e a 91 93 110 118 172 204 206 209 36 38 40 51 53 54 56 64 A v. grade T1 b 3.4 3.4 3.4 3.6 3.3 3.3 3.6 3.5 3.4 3.3 3.3 2.6 4.1 2.9 3.4 3.1 A ge (in y ears) T1 9.7 9.7 9.6 9.8 9.6 9.6 9.8 9.6 9.7 9.4 9.3 8.9 10.3 8.9 9.4 9.4 Bo ys 45% 48% 47% 49% 51% 50% 59% 47% 56% 58% 45% 53% 43% 48% 54% 50% A v. deg ree c T1 1.6 1.5 0.9 2.2 1.4 2.0 1.5 1.3 1.7 0.8 1.6 1.8 1.5 1.8 1.2 1.1 A v. deg ree c T3 0.6 1.3 0.6 1.1 2.1 1.3 1.0 1.0 1.5 1.6 0.6 0.9 0.5 1.9 0.6 0.3 A v. deg ree c T5 0.8 0.7 0.7 1.5 2.1 1.4 0.5 0.8 1.0 0.5 0.3 0.6 0.4 1.2 1.4 0.6 Respondents joining school T3 2 1 5 9 5 1 9 8 1 5 3 1 1 0 1 4 joining school T5 2 0 1 2 0 4 9 12 0 6 0 1 0 1 1 1 joining class T3 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 joining class T5 1 0 2 0 0 1 2 3 0 0 0 0 0 0 0 0 lea ving school T3 6 3 4 3 4 13 1 12 4 9 8 0 2 8 0 3 lea ving school T5 23 14 22 39 59 51 60 55 12 5 8 6 18 7 17 17 sta ying school T3 81 89 100 104 163 186 187 177 31 18 29 49 50 45 54 56 sta ying school T5 60 76 83 74 109 136 136 130 20 18 24 44 33 38 38 43 Stabilit y rat e d T1-T3 80% 74% 85% 72% 90% 78% 86% 77% 46% 33% 56% 45% 92% 46% 51% 83% Stabilit y rat e d T3-T5 86% 95% 90% 90% 85% 89% 82% 76% 42% 25% 66% 91% 60% 49% 45% 48% O verall stabilit y T1-T5 83% 84% 88% 81% 88% 84% 84% 76% 44% 29% 61% 68% 76% 48% 48% 66%

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Unstable administr ativ e-gr ade (schools 9 t o 26) Unstable pedagog ical multig rade (schools 27 t o 31) School 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Total siz e a 71 74 75 76 78 80 122 144 155 169 63 73 88 115 276 A v. grade T1 b 3.4 3.6 3.5 2.6 3.3 3.6 3.2 3.5 3.3 3.6 2.3 3.5 3.0 3.6 3.3 A ge (in y ears) T1 9.7 9.2 9.7 8.7 9.5 9.8 9.5 9.7 9.4 9.8 8.7 9.5 9.2 10.1 9.2 Bo ys 63% 61% 39% 42% 53% 46% 51% 56% 51% 47% 46% 37% 55% 48% 48% A v. deg ree c T1 1.5 1.3 2.5 2.3 1.2 0.9 3.5 0.8 1.1 1.7 2.0 0.6 0.9 2.1 1.2 A v. deg ree c T3 1.5 1.2 1.5 1.6 1.1 0.4 2.0 0.5 0.7 1.2 1.6 0.6 0.9 2.0 1.5 A v. deg ree c T5 0.8 1.2 1.3 3.0 1.3 0.3 1.7 1.0 0.2 1.3 1.3 0.8 1.6 1.2 1.2 Respondents joining school T3 1 2 4 0 4 0 2 5 4 5 2 5 7 1 6 joining school T5 3 1 6 0 3 2 3 4 7 3 7 8 14 8 9 joining class T3 1 0 2 0 0 0 0 5 2 2 0 0 0 7 9 joining class T5 0 0 0 0 1 0 0 2 2 0 0 0 0 9 2 lea ving school T3 8 14 11 2 15 2 0 7 11 2 9 16 19 24 40 lea ving school T5 16 15 13 18 16 21 39 35 34 41 9 15 7 26 54 sta ying school T3 59 57 54 74 56 76 117 128 133 159 45 44 48 82 221 sta ying school T5 44 44 45 56 44 55 80 98 103 123 38 34 48 57 173 Stabilit y rat e d T1-T3 47% 53% 48% 68% 54% 61% 93% 54% 80% 68% 46% 40% 37% 59% 40% Stabilit y rat e d T3-T5 43% 44% 39% 62% 66% 69% 45% 40% 68% 62% 51% 31% 58% 51% 28% O verall stabilit y T1-T5 45% 48% 44% 65% 60% 65% 69% 47% 74% 65% 48% 36% 48% 55% 34% Not es . aTotal siz e contains the t

otal number of students in a par

ticular school acr

oss all thr ee time points ( T1, T3, and T5). This in volv

es all missing cases

, joining , lea ving , and sta ying . bGrade ranged fr om 2 t o 5 at T1 (sa ve ex ceptions due t o combination g roups). cA verage deg ree is the a

verage number of bully nominations sent per student in a

par

ticular school

. T

his is calculat

ed among the students

who w

er

e par

t of the school at the da

y of the data collec

tion and who filled out the questionnair

e. dThe stabilit rat e sho ws the a verage scor

e per school acr

oss all students who w

er

e par

t of the school at the da

y of the data collec

tion (a visual plot is sho

wn in F igur e 3.2 in Chapt er 3). S3.2 Continued .

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Supplemen

ts

S3.3 Meta-analysis of school-wide victimization networks (31 schools, 3,254 students) – results for all

schools and the three different school types without controlling for effects of school sizea

All

schools Intercept (stable) administrative Unstable

multigrade

Unstable pedagogical

multigrade

Est. SE Est. SE Est. SE Est. SE

Rate effects Network rate w1-w3 18.53*** 1.34† 22.10*** 2.38-4.14 2.96 -7.73* 3.83 Network rate w3-w5 18.37*** 2.35† 22.68*** 4.23-8.14 5.30 -0.42 6.87 Network effects Density -3.88*** .29† -5.38*** .432.10*** .52 2.35** .73 Isolates -4.06*** .18† -4.74*** .31 .99** .37 .65 .51 Sex effects

Sex(boy) alter .40*** .08 .40** .12 -.06 .17 .19 .26

Sex(boy) ego -.18*** .08 -.16 .12 -.03 .16 -.02 .25

Same sex .28*** .08 .22+ .13 .18 .17 -.19 .26 Individual effects Newcomer ego .16 .11 -.07 .19 .38 .25 32 .37 Grade effects Gradealter .15** .06 .22* .10 -.09 .13 -.10 .17 Grade ego -.15** .05 -.21* .10 .11 .13 .003 .17 Same grade 1.13*** .11† 1.40*** .17 -.30 .22 -.81** .28 Classroom effects

Same class now .03 .11 .38* .19 -.57* .24 -.32 .34

Same class before .02 .09 .005 .14 -.02 .19 .19 .28

Number of schools 31 8 18 5

Number of students 3,254 1,203 1,436 615

Notes. +p < .10, *p < .05, **p < .01, ***p < .001. Significant differences between schools. In some (smaller) schools,

rate parameters were unreasonably high because there were few or no stable ties from one time point to the next.

As a possible solution, the rate parameters were fixed at the observed value (see Ripley et al., 2019). aThe model

specification consisted out all the effects reported in Table 3.1 in Chapter 3 (effect of time not reported, which was included to stabilize the estimation process). As can be seen, the results were substantially similar in terms of effect estimates as those reported in Table 3.4 in Chapter 3, but there was an additional effect of school size for the same class now and same class before effects. Apparently, these effects are found more in the larger schools compared to the smaller schools.

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S3 .4 F or est p lo ts of re su lts of se pa ra te sch oo ls su mm ar ize d ac ro ss all sc ho ol s a nd p er sc ho ol ty pe O ver al l 5 10 15 25 31 30 29 28 27 26 25 24 23 22 20 19 18 17 16 15 14 13 12 9 8 7 6 5 4 3 2 1 19 .21 [1 5.35 , 2 3.0 6] 21 .45 [1 6.92 , 2 5.9 8] 13 .76 [ 8 .78 , 1 8.74 ] 4 .4 5 [ 1 .4 3, 7 .4 7] 13 .51 [ 9 .58 , 1 7.44 ] 29 .18 [2 5.29 , 3 3.0 7] 13 .72 [1 0.15 , 1 7.3 0] 15 .62 [1 1.87 , 1 9.3 6] 20 .65 [1 7.01 , 2 4.2 9] 16 .30 [1 1.00 , 2 1.6 0] 17 .90 [1 3.56 , 2 2.2 4] 34 .30 [2 6.25 , 4 2.3 5] 14 .47 [ 9 .12 , 1 9.81 ] 11 .82 [ 8 .53 , 1 5.11 ] 10 .60 [ 6 .82 , 1 4.38 ] 30 .10 [2 2.93 , 3 7.2 8] 4 .3 0 [ 1 .9 5, 6 .6 5] 10 .59 [ 6 .92 , 1 4.26 ] 25 .00 [1 8.32 , 3 1.6 8] 23 .10 [1 7.00 , 2 9.2 0] 20 .26 [1 6.76 , 2 3.7 6] 25 .23 [2 0.77 , 2 9.6 8] 22 .09 [1 8.36 , 2 5.8 2] 21 .69 [1 8.40 , 2 4.9 8] 25 .18 [2 1.03 , 2 9.3 3] 21 .36 [1 5.71 , 2 7.0 0] 17 .07 [1 3.32 , 2 0.8 3] 24 .21 [1 9.01 , 2 9.4 1] 18 .53 [1 5.90 , 2 1.1 6] Rat e Pe riod 1 Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 21 .94 [1 9.98 , 2 3.9 0] 18 .12 [1 3.96 , 2 2.2 8] 14 .37 [8 .48 , 2 0.26 ] (Q = 12 .5 3, p = 0 .0 8) (Q = 21 0.6 9, p = 0 .0 0) (Q = 54 .2 3, p = 0 .0 0) O ver al l 5 10 15 25 40 31 30 29 28 27 26 25 24 23 22 21 20 19 18 16 15 14 13 12 8 7 6 5 4 3 2 1 53 .78 [4 5.11 , 6 2.4 4] 16 .89 [1 1.01 , 2 2.7 7] 16 .24 [1 1.30 , 2 1.1 8] 8 .5 3 [ 3 .9 2, 13 .15 18 .46 [1 2.74 , 2 4.1 8] 31 .99 [2 6.55 , 3 7.4 4] 3 .9 5 [ 2 .0 5, 5 .8 5] 14 .77 [1 0.85 , 1 8.7 0] 22 .67 [1 7.39 , 2 7.9 5] 8 .1 1 [ 4 .3 9, 11 .84 20 .74 [1 5.31 , 2 6.1 7] 39 .47 [3 2.48 , 4 6.4 6] 7 .3 9 [ 4 .2 6, 10 .52 11 .73 [ 6 .50 , 1 6.97 13 .24 [ 6 .47 , 2 0.01 8 .1 6 [ 5 .0 9, 11 .23 7 .2 8 [ 3 .7 5, 10 .82 7 .7 0 [ 2 .3 5, 13 .04 8 .7 8 [ 5 .0 1, 12 .54 13 .35 [1 0.30 , 1 6.3 9] 18 .23 [1 3.98 , 2 2.4 9] 49 .17 [4 1.77 , 5 6.5 8] 28 .54 [2 4.13 , 3 2.9 4] 23 .04 [1 8.41 , 2 7.6 7] 17 .73 [1 2.59 , 2 2.8 6] 10 .72 [ 7 .69 , 1 3.75 22 .64 [1 6.15 , 2 9.1 3] 18 .37 [1 3.77 , 2 2.9 7] Rat e Pe riod 2 Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 22 .67 [1 4.59 , 3 0.7 5] 14 .48 [9 .14 , 1 9.82 ] 22 .52 [7 .30 , 3 7.74 ] (Q = 12 7.5 5, p = 0 .0 0) (Q = 22 2.3 5, p = 0 .0 0) (Q = 82 .2 5, p = 0 .0 0) S3 .4 F or est p lo ts of re su lts of se pa ra te sch oo ls su mm ar ize d ac ro ss all sc ho ol s a nd p er sc ho ol ty pe O ver al l 5 10 15 25 31 30 29 28 27 26 25 24 23 22 20 19 18 17 16 15 14 13 12 9 8 7 6 5 4 3 2 1 19 .21 [1 5.35 , 2 3.0 6] 21 .45 [1 6.92 , 2 5.9 8] 13 .76 [ 8 .78 , 1 8.74 ] 4 .4 5 [ 1 .4 3, 7 .4 7] 13 .51 [ 9 .58 , 1 7.44 ] 29 .18 [2 5.29 , 3 3.0 7] 13 .72 [1 0.15 , 1 7.3 0] 15 .62 [1 1.87 , 1 9.3 6] 20 .65 [1 7.01 , 2 4.2 9] 16 .30 [1 1.00 , 2 1.6 0] 17 .90 [1 3.56 , 2 2.2 4] 34 .30 [2 6.25 , 4 2.3 5] 14 .47 [ 9 .12 , 1 9.81 ] 11 .82 [ 8 .53 , 1 5.11 ] 10 .60 [ 6 .82 , 1 4.38 ] 30 .10 [2 2.93 , 3 7.2 8] 4 .3 0 [ 1 .9 5, 6 .6 5] 10 .59 [ 6 .92 , 1 4.26 ] 25 .00 [1 8.32 , 3 1.6 8] 23 .10 [1 7.00 , 2 9.2 0] 20 .26 [1 6.76 , 2 3.7 6] 25 .23 [2 0.77 , 2 9.6 8] 22 .09 [1 8.36 , 2 5.8 2] 21 .69 [1 8.40 , 2 4.9 8] 25 .18 [2 1.03 , 2 9.3 3] 21 .36 [1 5.71 , 2 7.0 0] 17 .07 [1 3.32 , 2 0.8 3] 24 .21 [1 9.01 , 2 9.4 1] 18 .53 [1 5.90 , 2 1.1 6] Rat e Pe riod 1 Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 21 .94 [1 9.98 , 2 3.9 0] 18 .12 [1 3.96 , 2 2.2 8] 14 .37 [8 .48 , 2 0.26 ] (Q = 12 .5 3, p = 0 .0 8) (Q = 21 0.6 9, p = 0 .0 0) (Q = 54 .2 3, p = 0 .0 0) O ver al l 5 10 15 25 40 31 30 29 28 27 26 25 24 23 22 21 20 19 18 16 15 14 13 12 8 7 6 5 4 3 2 1 53 .78 [4 5.11 , 6 2.4 4] 16 .89 [1 1.01 , 2 2.7 7] 16 .24 [1 1.30 , 2 1.1 8] 8 .5 3 [ 3 .9 2, 13 .15 18 .46 [1 2.74 , 2 4.1 8] 31 .99 [2 6.55 , 3 7.4 4] 3 .9 5 [ 2 .0 5, 5 .8 5] 14 .77 [1 0.85 , 1 8.7 0] 22 .67 [1 7.39 , 2 7.9 5] 8 .1 1 [ 4 .3 9, 11 .84 20 .74 [1 5.31 , 2 6.1 7] 39 .47 [3 2.48 , 4 6.4 6] 7 .3 9 [ 4 .2 6, 10 .52 11 .73 [ 6 .50 , 1 6.97 13 .24 [ 6 .47 , 2 0.01 8 .1 6 [ 5 .0 9, 11 .23 7 .2 8 [ 3 .7 5, 10 .82 7 .7 0 [ 2 .3 5, 13 .04 8 .7 8 [ 5 .0 1, 12 .54 13 .35 [1 0.30 , 1 6.3 9] 18 .23 [1 3.98 , 2 2.4 9] 49 .17 [4 1.77 , 5 6.5 8] 28 .54 [2 4.13 , 3 2.9 4] 23 .04 [1 8.41 , 2 7.6 7] 17 .73 [1 2.59 , 2 2.8 6] 10 .72 [ 7 .69 , 1 3.75 22 .64 [1 6.15 , 2 9.1 3] 18 .37 [1 3.77 , 2 2.9 7] Rat e Pe riod 2 Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 22 .67 [1 4.59 , 3 0.7 5] 14 .48 [9 .14 , 1 9.82 ] 22 .52 [7 .30 , 3 7.74 ] (Q = 12 7.5 5, p = 0 .0 0) (Q = 22 2.3 5, p = 0 .0 0) (Q = 82 .2 5, p = 0 .0 0) S3.4 F or est plots of r esults of separat e schools summar iz ed acr

oss all schools and per school t

ype

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Supplemen

ts

O ver al l −8 −5 −2 .5 −1 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 −5 .4 4 [ −7 .0 3, −3 .8 5] −4 .0 5 [ −6 .0 4, −2 .0 6] −1 .3 7 [ −2 .5 1, −0 .2 2] −1 .5 4 [ −2 .7 1, −0 .3 6] −4 .9 0 [ −8 .7 0, −1 .1 1] −4 .6 1 [ −5 .7 3, −3 .5 0] −5 .5 9 [ −7 .2 0, −3 .9 9] −2 .9 1 [ −3 .8 6, −1 .9 6] −3 .4 5 [ −4 .4 2, −2 .4 9] −2 .1 8 [ −3 .4 8, −0 .8 7] −2 .2 2 [ −3 .2 6, −1 .1 9] −3 .8 6 [ −5 .1 9, −2 .5 3] −5 .1 0 [ −7 .1 0, −3 .1 0] −3 .6 9 [ −5 .1 3, −2 .2 4] −1 .7 7 [ −2 .8 4, −0 .7 0] −6 .7 7 [ −1 0.7 3, −2.8 0] −3 .0 4 [ −5 .0 0, −1 .0 8] −3 .6 9 [ −5 .1 8, −2 .2 0] −3 .4 9 [ −5 .1 1, −1 .8 7] −3 .7 7 [ −7 .2 4, −0 .3 0] −4 .0 3 [ −7 .7 6, −0 .2 9] −1 .2 5 [ −2 .5 0, 0 .0 0] −2 .1 0 [ −3 .3 5, −0 .8 4] −6 .0 1 [ −7 .2 6, −4 .7 6] −5 .5 0 [ −6 .8 3, −4 .1 7] −5 .3 8 [ −6 .4 3, −4 .3 2] −5 .7 6 [ −6 .8 7, −4 .6 5] −4 .3 9 [ −5 .7 7, −3 .0 1] −5 .8 4 [ −7 .7 4, −3 .9 5] −5 .8 9 [ −7 .5 3, −4 .2 4] −4 .3 1 [ −5 .7 3, −2 .8 9] −3 .8 8 [ −4 .4 5, −3 .3 1] Dens ity Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] −5 .3 9 [ −5 .8 6, −4 .92 ] −3 .2 8 [ −3 .8 7, −2 .68 ] −3 .2 3 [ −5 .0 0, −1 .46 ] (Q = 6 .23, p = 0 .51) (Q = 48 .6 4, p = 0 .0 0) (Q = 23 .2 7, p = 0 .0 0) O ver al l −8 −5 −2 .5 −1 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 −4 .2 3 [ −6 .0 4, −2 .42 ] −3 .2 6 [ −5 .3 1, −1 .21 ] −5 .0 6 [ −6 .5 6, −3 .55 ] −3 .9 5 [ −5 .4 3, −2 .47 ] −3 .5 5 [ −5 .1 9, −1 .90 ] −4 .5 0 [ −5 .8 9, −3 .11 ] −3 .9 1 [ −5 .1 3, −2 .68 ] −3 .7 9 [ −4 .7 8, −2 .79 ] −3 .2 7 [ −4 .3 3, −2 .21 ] −4 .6 8 [ −6 .7 0, −2 .67 ] −4 .1 9 [ −5 .5 1, −2 .86 ] −1 .7 3 [ −3 .2 5, −0 .22 ] −3 .8 1 [ −5 .1 3, −2 .49 ] −2 .4 2 [ −4 .1 0, −0 .74 ] −5 .9 4 [ −8 .5 9, −3 .29 ] −5 .2 0 [ −7 .1 6, −3 .24 ] −3 .6 4 [ −4 .9 8, −2 .30 ] −2 .6 8 [ −4 .4 4, −0 .91 ] −4 .0 6 [ −5 .7 5, −2 .38 ] −3 .4 3 [ −5 .7 2, −1 .14 ] −3 .9 1 [ −5 .8 1, −2 .01 ] −3 .5 2 [ −5 .2 8, −1 .77 ] −4 .6 5 [ −6 .4 3, −2 .88 ] −5 .4 1 [ −6 .8 1, −4 .01 ] −4 .3 3 [ −5 .8 1, −2 .84 ] −5 .6 4 [ −7 .2 4, −4 .04 ] −5 .9 2 [ −7 .6 2, −4 .22 ] −5 .0 3 [ −6 .7 2, −3 .33 ] −4 .5 2 [ −6 .5 0, −2 .53 ] −2 .2 8 [ −3 .9 2, −0 .64 ] −4 .6 7 [ −5 .9 6, −3 .38 ] −4 .0 6 [ −4 .4 0, −3 .71 ] Isolat es Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] −4 .7 3 [ −5 .5 0, −3 .97 ] −3 .7 3 [ −4 .0 9, −3 .38 ] −4 .0 9 [ −4 .8 4, −3 .35 ] (Q = 13 .0 9, p = 0 .0 7) (Q = 19 .9 0, p = 0 .2 8) (Q = 2 .70, p = 0 .61) S3.4 C ontinued .

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O ver al l −1 .5 0 0.5 1.5 3.5 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 .6 3 [ −0 .0 8, 1 .3 4] 0 .5 4 [ −0 .3 0, 1 .3 8] 0 .4 0 [ −0 .7 0, 1 .4 9] 0 .5 9 [ −0 .5 1, 1 .6 8] 3 .3 0 [ −0 .5 1, 7 .1 1] 0 .3 8 [ −0 .1 8, 0 .9 4] 1 .3 0 [ −0 .1 6, 2 .7 5] 0 .5 2 [ −0 .3 2, 1 .3 5] 0 .3 4 [ −0 .3 7, 1 .0 4] 0 .3 8 [ −0 .6 0, 1 .3 5] 1 .0 0 [ −0 .0 2, 2 .0 2] 0 .2 1 [ −0 .4 6, 0 .8 8] 0 .4 1 [ −0 .4 5, 1 .2 6] 0 .0 8 [ −0 .9 3, 1 .1 0] −0 .2 1 [ −0 .9 7, 0 .5 5] 2 .8 2 [ −0 .5 7, 6 .2 2] 0 .0 5 [ −0 .8 2, 0 .9 3] 0 .5 9 [ −0 .5 5, 1 .7 2] 0 .2 9 [ −0 .7 7, 1 .3 4] 2 .7 9 [ −0 .6 8, 6 .2 7] 2 .5 4 [ −1 .2 1, 6 .2 9] −0 .8 6 [ −2 .0 7, 0 .3 6] 1 .0 8 [ −0 .1 4, 2 .3 1] 0 .1 6 [ −0 .4 5, 0 .7 8] 0 .0 9 [ −0 .5 3, 0 .7 0] 0 .6 5 [ 0 .0 5, 1.2 5] 0 .3 2 [ −0 .2 3, 0 .8 8] 0 .2 7 [ −0 .3 4, 0 .8 8] 1 .1 5 [ −0 .0 0, 2 .3 1] 0 .8 4 [ −0 .0 9, 1 .7 7] 0 .6 8 [ −0 .2 4, 1 .6 1] 0 .4 0 [ 0 .2 5, 0.5 5] G end er Al ter Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 0.4 0 [ 0.1 6, 0.6 5] 0.3 5 [ 0.1 2, 0.5 7] 0.6 0 [ 0.1 6, 1.0 4] (Q = 5 .36, p = 0 .62) (Q = 16 .8 7, p = 0 .4 6) (Q = 2 .08, p = 0 .72) O ver al l −2 .7 5 −1 −0 .5 0 0.5 1.5 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 −0 .3 3 [ −0 .9 5, 0 .3 −0 .0 4 [ −0 .9 4, 0 .8 −0 .1 2 [ −1 .2 5, 1 .0 0 .1 0 [ −0 .9 3, 1 .1 −2 .0 6 [ −5 .7 9, 1 .6 −0 .0 8 [ −0 .5 7, 0 .4 −1 .0 1 [ −2 .4 5, 0 .4 −0 .4 9 [ −1 .3 1, 0 .3 −0 .1 2 [ −0 .8 0, 0 .5 −0 .2 5 [ −1 .1 7, 0 .6 −0 .4 1 [ −1 .3 8, 0 .5 −0 .0 9 [ −0 .7 0, 0 .5 −0 .1 4 [ −0 .9 3, 0 .6 0 .1 9 [ −0 .8 3, 1 .2 −0 .1 0 [ −0 .8 8, 0 .6 −2 .2 5 [ −5 .6 3, 1 .1 −0 .3 8 [ −1 .3 3, 0 .5 −0 .2 3 [ −1 .3 7, 0 .9 −0 .0 7 [ −1 .0 3, 0 .8 −2 .3 4 [ −5 .8 1, 1 .1 −1 .7 0 [ −5 .4 1, 2 .0 0 .2 0 [ −0 .9 1, 1 .3 −0 .3 5 [ −1 .5 6, 0 .8 −0 .1 0 [ −0 .6 6, 0 .4 −0 .0 8 [ −0 .6 7, 0 .5 −0 .1 0 [ −0 .7 0, 0 .5 0 .0 1 [ −0 .5 0, 0 .5 −0 .2 2 [ −0 .7 9, 0 .3 −0 .7 8 [ −1 .9 1, 0 .3 −0 .6 7 [ −1 .6 0, 0 .2 −0 .1 6 [ −1 .0 3, 0 .7 −0 .1 8 [ −0 .3 3, −0 .03 G end er Ego Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] −0 .1 6 [ −0 .3 9, 0 .0 7] −0 .1 9 [ −0 .4 1, 0 .0 2] −0 .1 8 [ −0 .6 1, 0 .2 4] (Q = 2 .90, p = 0 .89) (Q = 7 .20, p = 0 .98) (Q = 1 .58, p = 0 .81) S3.4 C ontinued .

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Supplemen

ts

O ver al l −1 −0 .5 0 0.5 1 2 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 .2 8 [ −0 .4 0, 0 .9 7] 0 .0 9 [ −0 .8 8, 1 .0 5] −0 .5 9 [ −1 .6 9, 0 .5 0] −0 .2 2 [ −1 .3 3, 0 .8 9] 1 .5 7 [ −2 .1 7, 5 .3 1] 0 .2 6 [ −0 .3 1, 0 .8 3] 1 .3 4 [ −0 .1 1, 2 .7 8] 0 .8 9 [ 0 .0 2, 1.7 5] 0 .2 5 [ −0 .3 9, 0 .8 9] 0 .1 3 [ −0 .8 9, 1 .1 4] 0 .7 3 [ −0 .2 9, 1 .7 5] 0 .0 9 [ −0 .6 1, 0 .7 9] 0 .3 0 [ −0 .6 2, 1 .2 2] 0 .3 9 [ −0 .6 9, 1 .4 7] 0 .0 5 [ −0 .7 5, 0 .8 4] 3 .0 5 [ −0 .3 5, 6 .4 5] 0 .5 7 [ −0 .3 7, 1 .5 1] 0 .2 2 [ −0 .9 0, 1 .3 4] 0 .6 7 [ −0 .4 4, 1 .7 7] 2 .1 2 [ −1 .3 5, 5 .5 9] 1 .9 3 [ −1 .7 9, 5 .6 6] 0 .1 8 [ −1 .0 3, 1 .4 0] 1 .0 6 [ −0 .1 7, 2 .2 9] 0 .3 7 [ −0 .2 5, 0 .9 9] 0 .4 1 [ −0 .2 4, 1 .0 5] −0 .0 8 [ −0 .6 7, 0 .5 1] −0 .1 2 [ −0 .6 8, 0 .4 3] 0 .2 6 [ −0 .3 8, 0 .9 1] 1 .0 0 [ −0 .1 3, 2 .1 3] 0 .6 5 [ −0 .2 9, 1 .5 8] 0 .1 7 [ −0 .7 5, 1 .1 0] 0 .2 8 [ 0 .1 3, 0.4 4] Sa m e G end er Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 0.2 2 [ −0 .0 3, 0 .4 7] 0.4 0 [ 0.1 8, 0.6 3] 0.0 3 [ −0 .4 2, 0 .4 8] (Q = 5 .65, p = 0 .58) (Q = 11 .0 8, p = 0 .8 5) (Q = 2 .65, p = 0 .62) O ver al l −1 −0 .5 0 0.5 1.5 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 .1 2 [ −0 .3 2, 0 .5 7] 0 .1 8 [ −0 .4 4, 0 .7 9] 0 .1 1 [ −0 .5 8, 0 .8 0] −0 .0 7 [ −0 .8 1, 0 .6 7] 0 .1 9 [ −0 .4 0, 0 .7 8] 0 .0 5 [ −0 .3 7, 0 .4 6] 0 .1 3 [ −0 .4 7, 0 .7 2] 0 .2 5 [ −0 .3 2, 0 .8 2] 0 .2 1 [ −0 .2 8, 0 .6 9] −0 .0 4 [ −0 .7 3, 0 .6 5] −0 .1 3 [ −0 .7 8, 0 .5 1] −0 .0 3 [ −0 .4 9, 0 .4 3] 0 .0 9 [ −0 .4 8, 0 .6 6] 0 .0 9 [ −0 .5 5, 0 .7 3] 0 .1 9 [ −0 .3 5, 0 .7 3] 1 .3 5 [ −0 .5 5, 3 .2 6] 0 .1 4 [ −0 .5 2, 0 .8 0] 0 .2 8 [ −0 .4 3, 0 .9 8] 0 .5 8 [ −0 .4 9, 1 .6 5] 0 .5 0 [ −0 .2 7, 1 .2 7] 0 .1 0 [ −0 .7 4, 0 .9 4] 0 .1 5 [ −0 .6 5, 0 .9 5] 0 .0 2 [ −0 .6 7, 0 .7 2] 0 .2 1 [ −0 .3 1, 0 .7 2] 0 .2 0 [ −0 .3 2, 0 .7 2] 0 .1 4 [ −0 .4 5, 0 .7 2] 0 .1 4 [ −0 .3 1, 0 .5 9] 0 .2 0 [ −0 .2 7, 0 .6 7] 0 .5 8 [ −0 .2 1, 1 .3 6] 0 .2 8 [ −0 .4 0, 0 .9 6] 0 .2 6 [ −0 .5 1, 1 .0 4] 0 .1 5 [ 0 .0 4, 0.2 6] G rade Al ter Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 0.2 2 [ 0.0 2, 0.4 2] 0.1 3 [ −0 .0 2, 0 .2 7] 0.1 2 [ −0 .1 4, 0 .3 8] (Q = 1 .04, p = 0 .99) (Q = 5 .26, p = 1 .00) (Q = 0 .35, p = 0 .99) S3.4 C ontinued .

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O ver al l −1 .5 −0 .5 0 0.5 1 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 −0 .1 4 [ −0 .5 4, 0 .2 6] −0 .4 2 [ −1 .2 2, 0 .3 9] −0 .5 0 [ −1 .3 1, 0 .3 2] −0 .1 7 [ −0 .8 9, 0 .5 5] −0 .0 8 [ −0 .7 3, 0 .5 8] −0 .1 4 [ −0 .5 3, 0 .2 6] −0 .1 2 [ −0 .6 9, 0 .4 5] −0 .2 5 [ −0 .8 5, 0 .3 6] −0 .1 8 [ −0 .6 1, 0 .2 5] −0 .0 3 [ −0 .7 8, 0 .7 3] −0 .0 4 [ −0 .5 8, 0 .4 9] −0 .0 8 [ −0 .4 9, 0 .3 3] −0 .1 9 [ −0 .7 7, 0 .3 8] −0 .0 9 [ −0 .7 5, 0 .5 7] 0 .0 1 [ −0 .5 6, 0 .5 7] −1 .4 5 [ −3 .2 6, 0 .3 6] 0 .0 3 [ −0 .6 3, 0 .6 9] 0 .0 6 [ −0 .7 3, 0 .8 6] −0 .1 9 [ −1 .1 4, 0 .7 5] −0 .0 6 [ −0 .7 3, 0 .6 2] −0 .5 6 [ −1 .6 6, 0 .5 4] 0 .1 8 [ −0 .5 4, 0 .8 9] 0 .0 6 [ −0 .6 4, 0 .7 7] −0 .1 2 [ −0 .6 2, 0 .3 8] −0 .2 3 [ −0 .7 5, 0 .3 0] −0 .1 7 [ −0 .7 5, 0 .4 1] −0 .1 8 [ −0 .6 4, 0 .2 8] −0 .1 9 [ −0 .6 5, 0 .2 8] −0 .4 4 [ −1 .2 3, 0 .3 6] −0 .2 6 [ −0 .9 5, 0 .4 3] −0 .3 2 [ −1 .1 5, 0 .5 1] −0 .1 5 [ −0 .2 5, −0 .04 ] G

rade Ego Sta

bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] −0 .2 1 [ −0 .4 1, −0 .01 ] −0 .1 0 [ −0 .2 4, 0 .0 4] −0 .2 0 [ −0 .4 8, 0 .0 7] (Q = 0 .59, p = 1 .00) (Q = 4 .68, p = 1 .00) (Q = 1 .01, p = 0 .91) O ver al l −1 .5 0 1 2.5 4 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 .5 8 [ −0 .0 8, 1 .2 0 .3 9 [ −0 .5 3, 1 .3 1 .3 3 [ 0 .1 9, 2.4 0 .6 8 [ −0 .6 6, 2 .0 0 .0 6 [ −1 .1 9, 1 .3 0 .7 4 [ 0 .0 7, 1.4 1 .2 8 [ 0 .2 9, 2.2 1 .0 0 [ 0 .2 1, 1.8 1 .1 9 [ 0 .0 3, 2.3 1 .0 5 [ −0 .4 4, 2 .5 0 .7 2 [ −0 .3 8, 1 .8 1 .7 9 [ 0 .5 0, 3.0 1 .4 0 [ 0 .2 9, 2.5 1 .6 0 [ 0 .1 9, 3.0 0 .9 7 [ −0 .3 8, 2 .3 5 .1 9 [ 2 .1 1, 8.2 1 .7 0 [ 0 .4 6, 2.9 2 .8 5 [ 1 .1 8, 4.5 0 .2 8 [ −0 .9 0, 1 .4 1 .6 4 [ 0 .2 0, 3.0 2 .5 4 [ 0 .4 7, 4.6 0 .0 9 [ −1 .2 6, 1 .4 −0 .8 8 [ −2 .5 5, 0 .7 1 .1 3 [ 0 .3 3, 1.9 0 .7 9 [ −0 .0 7, 1 .6 1 .5 8 [ 0 .7 7, 2.4 1 .0 8 [ 0 .3 4, 1.8 1 .2 9 [ 0 .3 0, 2.2 1 .9 8 [ 0 .5 9, 3.3 2 .2 6 [ 1 .1 9, 3.3 2 .5 6 [ 1 .1 8, 3.9 1 .1 3 [ 0 .9 1, 1.3 Sa m e G rade Sta bl e Uns ta bl e Ad m in is tra tiv e M ul ti−Gr ad e Uns ta bl e Pe da go gi ca l M ul ti−G ra de Es t. [9 5% CI] 1.4 2 [ 1.0 6, 1.7 9] 1.1 1 [ 0.8 2, 1.4 0] 0.5 9 [ 0.1 7, 1.0 2] (Q = 9 .18, p = 0 .24) (Q = 27 .3 9, p = 0 .0 5) (Q = 2 .50, p = 0 .65) S3.4 C ontinued .

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