Comparing Nested Random Effects Structures (with cohort weight argument)

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	0.2939259	0.3063250	0.6827217	0.9595230	0.5654511	n.s.
Exploratory	Positive	PE	3.8793119	0.8978651	1.4873555	4.3205954	0.0816432	**
Exploratory	Negative	outcome	-0.6148613	0.4108051	0.9684240	-1.4967225	0.3805886	n.s.
Exploratory	Negative	PE	-2.7892094	0.9311117	1.8078796	-2.9955689	0.1079370	*
Confirmatory	Positive	outcome	0.2112718	0.3194255	1.2488045	0.6614118	0.6091468	n.s.
Confirmatory	Positive	PE	3.1232271	0.5349815	5.2264938	5.8380096	0.0017962	**
Confirmatory	Negative	outcome	-0.4587680	0.3329608	1.1294713	-1.3778440	0.3799484	n.s.
Confirmatory	Negative	PE	-1.9634029	0.7033203	1.0581823	-2.7916200	0.2077783	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	0.2771896	0.3069613	0.8026184	0.9030116	0.5602445	n.s.
Exploratory	Positive	PE	3.7160393	0.7761725	0.7760435	4.7876460	0.1826861	.
Exploratory	Negative	outcome	-0.6695420	0.3669981	1.1837480	-1.8243748	0.2885669	n.s.
Exploratory	Negative	PE	-2.7806832	0.8487211	1.0146715	-3.2763215	0.1857015	.
Confirmatory	Positive	outcome	0.4429418	0.2648576	0.9732648	1.6723774	0.3480611	n.s.
Confirmatory	Positive	PE	3.4788673	0.5003967	64.1829506	6.9522184	0.0000000	***
Confirmatory	Negative	outcome	-0.5392715	0.2896359	1.0839537	-1.8618945	0.2987380	n.s.
Confirmatory	Negative	PE	-2.1903448	0.6272350	1.4375740	-3.4920642	0.1147359	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