Comparing Nested Random Effects Structures

Updated Exclusion Criteria:

• 5-responses required
• No requirement for number of exams

Updated Sample Sizes:

• Exploratory: N = 75 (previous: N = 44)
• Confirmatory: N = 81 (previous: N = 51)

New Gammas Fit to Full Exploratory Data Frame:

• PA: 0.85
• NA: 0.91

Random Effects Structure I

Affect ~ outcome + PE + ( 1 + outcome + PE | cohort / exam_num / id)

Dataset	Affect	predictor	Estimate	SE	df	t_stat	p_Val	sig
Exploratory	Positive	outcome	0.3381905	0.2001976	5.608594	1.6892832	0.1455747	n.s.
Exploratory	Positive	PE	3.7807479	0.7886752	4.262214	4.7937956	0.0074084	**
Exploratory	Negative	outcome	-0.6068125	0.3951412	1.215238	-1.5356852	0.3345566	n.s.
Exploratory	Negative	PE	-2.6740427	0.8646741	3.286446	-3.0925439	0.0474750	*
Confirmatory	Positive	outcome	0.2158519	0.3170549	1.235805	0.6808031	0.6009263	n.s.
Confirmatory	Positive	PE	3.1369099	0.5432564	5.822864	5.7742710	0.0013076	**
Confirmatory	Negative	outcome	-0.4572960	0.3317150	1.157256	-1.3785809	0.3759657	n.s.
Confirmatory	Negative	PE	-1.9518399	0.7137204	1.074915	-2.7347402	0.2089239	n.s.

Random Effects Structure II

Affect ~ outcome + PE + ( 1 + outcome + PE | cohort / id / exam_num)

With new structure, PE is trending in exploratory dataset, and significant in confirmatory

Dataset	Affect	predictor	Estimate	SE	df	t_stat	p_Val	sig
Exploratory	Positive	outcome	0.3102355	0.2160938	2.3624013	1.435652	0.2692764	n.s.
Exploratory	Positive	PE	3.5752270	0.6013576	1.3909792	5.945259	0.0590905	.
Exploratory	Negative	outcome	-0.6449324	0.3796406	1.0432242	-1.698798	0.3309908	n.s.
Exploratory	Negative	PE	-2.6717013	0.7686514	1.6284042	-3.475830	0.0980165	.
Confirmatory	Positive	outcome	0.4384121	0.2576754	0.9817883	1.701412	0.3416694	n.s.
Confirmatory	Positive	PE	3.4700851	0.5053408	72.9347299	6.866822	0.0000000	***
Confirmatory	Negative	outcome	-0.5384790	0.2885021	1.1152864	-1.866465	0.2928893	n.s.
Confirmatory	Negative	PE	-2.1758658	0.6399473	1.4356868	-3.400070	0.1190673	n.s.

AICs for models with varying controls for ‘Exam Number’ and ‘Cohort’

Formula	Dataset	DV	AIC
bc_pa ~ outcome + PE + (1 + outcome + PE | id)	exploratory	PA	7862.095
bc_na ~ outcome + PE + (1 + outcome + PE | id)	exploratory	NA	8249.904
bc_pa ~ outcome + PE + exam_num + (1 + outcome + PE | id)	exploratory	PA	7857.225
bc_na ~ outcome + PE + exam_num + (1 + outcome + PE | id)	exploratory	NA	8250.671
bc_pa ~ outcome + PE + (1 + outcome + PE | cohort/id)	exploratory	PA	7872.617
bc_na ~ outcome + PE + (1 + outcome + PE | cohort/id)	exploratory	NA	8260.812
bc_pa ~ outcome + PE + exam_num + (1 + outcome + PE | cohort/id)	exploratory	PA	7868.970
bc_na ~ outcome + PE + exam_num + (1 + outcome + PE | cohort/id)	exploratory	NA	8261.668
bc_pa ~ outcome + PE + (1 + outcome + PE | cohort/exam_num/id)	exploratory	PA	7666.931
bc_na ~ outcome + PE + (1 + outcome + PE | cohort/exam_num/id)	exploratory	NA	8097.993
bc_pa ~ outcome + PE + (1 + outcome + PE | cohort/id/exam_num)	exploratory	PA	7663.786
bc_na ~ outcome + PE + (1 + outcome + PE |cohort/id/exam_num)	exploratory	NA	8092.060