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. 2023 Sep 29;13:16376. doi: 10.1038/s41598-023-43497-w

Table 2.

Multilevel model analysis final models for social anxiety and social withdrawal.

Social anxiety Social withdrawal
β0ijk = 9.67 (0.29)*** β0ijk = 4.4 (0.26)***
Co-efficient β SE Co-efficient β SE
Classroom
 Free and reduced school meals 1.36 1.29 2.24 1.25
 Ethnicity 0.51 1.94 − 0.77 1.88
 Year (if year 2) 0.41 0.37 0.46 0.33
 Year (if year 3) − 0.14 0.35 0.60 0.31
 Year (if year 4) − 0.02 0.36 1.23*** 0.32
Student
 Gender (if boys) − 2.63*** 0.24 0.06 0.20
 Self-esteem − 0.20*** 0.02 − 0.26*** 0.01
Time
 Time linear − 0.15 0.12 − 0.07 0.11
Interactions
 Gender (if boys) × time linear − 0.21* 0.10 − 0.03 0.09
 Year (if year 2) × time linear 0.35* 0.15 0.45** 0.14
 Year (if year 3) × time linear 0.60*** 0.14 0.75*** 0.13
 Year (if year 4) × time linear 0.23 0.15 0.24 0.14
 Time × self-esteem × year (if year 2) 0.01 0.01 0.04*** 0.01
 Time × self-esteem × year (if year 3) 0.01 0.01 0.01 0.01
 Time × self-esteem × year (if year 4) 0.01 0.01 0.01 0.01
 Repeated measures 3.270*** 0.164 3.197*** 0.114
 Individual intercept 8.991*** 0.590 5.963*** 0.357
 Individual slope 0.392** 0.131
 Individual covariance intercept/slope − 0.364 0.203
 Classroom intercept 0.011 0.016 0.034 0.099
 Classroom slope 0.008 0.019
 Classroom covariance intercept/slope 0.095** 0.031
Deviance (−2loglikelihood) 11,787.890 11,317.364
Estimated parameters 21 21

*p < 0.05; **p < 0.01; ***p < 0.001.