. Author manuscript; available in PMC: 2022 Feb 1.

Published in final edited form as: J Consult Clin Psychol. 2021 Feb;89(2):110–125. doi: 10.1037/ccp0000621

Table 3.

HGLM/HLM Models for the Effect of CBT Versus ESCT on POPE-JEGA Scores and YTP Scores

POPE-JEGA Scores

Fixed Effect	Coefficient	Standard error	t-ratio	p-value
Intercept, γ₀₀	2.5563	0.0739	34.604	<.001
Pre-Treatment POPE-JEGA Score, γ₁₀	0.0152	0.0030	5.140	<.001
Study, γ₂₀	0.2263	0.0936	2.418	.021
Treatment Condition, γ₃₀	−0.3211	0.0932	−3.443	<.001

Random Effect	SD	Variance Component	df	χ²	p-value

Treatment Condition, u₂	0.1182	0.0140	7	17.0318	.017

YTP Scores

Fixed Effect	Coefficient	Standard error	t-ratio	p-value

For Intercept-1, π₀
Intercept-3, γ₀₀₀	21.6858	0.2330	93.043	<.001
Study, γ₀₁₀	−3.4546	0.3402	−10.154	<.001
Treatment Condition, γ₀₃₀	−1.1277	0.3365	−3.351	<.001
For Session Number slope, π₁
Intercept-3, γ₁₀₀	−0.3550	0.0421	−8.414	<.001
Study, γ₁₁₀	0.0406	0.0621	0.653	.517
Treatment Condition, γ₁₂₀	0.2007	0.0643	3.121	.003

Random Effect	SD	Variance Component	df	χ²	p-value

Session Number, r₁	0.2726	0.0743	41	946.7305	<0.001
level-1, e	3.9564	15.6528
Session Number/Treatment Condition, u₁₂	0.0649	0.0042	7	11.1192	.133

Note. HGLM/HLM=hierarchical (generalized) linear model. POPE-JEGA=Playground Observation of Peer Engagement Joint Engagement/Games with Rules scale. YTP=Youth Top Problems scale. CBT=cognitive behavioral therapy. ESCT=enhanced standard community treatment. HGLM for POPE-JEGA scores uses a Poisson distribution and a log-link function. HLM for YTP scores uses a normal distribution. The POPE-JEGA model is based on 20 multiply imputed datasets of the 84 participants with valid pre-treatment POPE-JEGA scores. The YTP model is based on all available weekly YTP data, including participants who have less than 32 weeks of data.