Analyses of Peters data

Parameter priors

Original model analyses:

	NuPrimeMu	NuPrimeSa	KappaMu	KappaSa	OmegaMu	OmegaSa	ThetaMu	ThetaSa	mMu	mSa	PhiMu	PhiSa	Sig2Mu	Sig2Sa
A9	128	0	-Inf	0	0	25	0	0	0	0	-2.2	0	1	1
A10	128	0	-Inf	0	5	25	0	0	0	0	-2.2	0	1	1

AR1 model analyses:

	NuPrimeMu	NuPrimeSa	KappaMu	KappaSa	OmegaMu	OmegaSa	mMu	mSa	PhiMu	PhiSa	Sig2Mu	Sig2Sa
A11	7	10	0	0	-2	16	0	0	-Inf	0	4	0
A12	7	10	0	0	-2	16	0	0	-2.2	2	4	0
A13	7	0.0625	0	0	-2	16	0	1	-2.2	2	4	0
A14	7	0.0625	0	0	0	4	0	1	-2.2	2	4	0
A15	128	0.0625	0	0	0	4	0	1	-2.2	2	4	0
A16	7	10	0	0	-2	16	0	0	-Inf	0	4	0

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Test of ANOVA assumptions

Shapiro-Wilk tests of normality of residuals

[<0.05 = NOT normal]

	Model_names	SW_omega	SW_nu	SW_M	SW_phi
1	A9	0.000615	1.21e-19		1.21e-19
2	A10	0.00522	1.21e-19		1.21e-19
3	A11	2.26e-06	3.63e-14
4	A12	0.000793	1.07e-13		2.78e-11
5	A13	0.0257	5.62e-08	0.105	2.51e-06
6	A14	0.0121	1.12e-07	0.0909	2.04e-06
7	A15	0.00194	0.0176	0.0259	0.000944
8	A16	2.26e-06	3.63e-14

Test for homoskedasticity (homogeneity of variance)

Brown-Forsyth test (uses the median - more robust to outliers)

[<0.05 = VIOLATION of homogeneity of variance]

	Model_names	BF_omega	BF_nu	BF_M	BF_phi
1	A9	0.214
2	A10	0.00018
3	A11	0.527	0.304
4	A12	0.199	0.654		0.0319
5	A13	0.000147	0.103	0.595	0.238
6	A14	8.69e-05	0.146	0.75	0.457
7	A15	1.23e-05	0.531	0.282	0.0274
8	A16	0.527	0.304

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Fit - beads of opposite colour (BOOC) for selected analyses

	Analysis_no.	Fit_BOOC
1	A9	0.0167
2	A10	0.011
3	A11	0.0203
4	A12	0.0214
5	A13	0.0095
6	A14	0.0109
7	A15	0.00654
8	A16	0.0203

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Means, SDs, ANOVA summaries and post-hoc tests

Mean/SD table

	Omega			Nu			M			Phi
	Mean	SD		Mean	SD		Mean	SD		Mean	SD
A9
Control	-0.854	2.85		128	0		0	0		0.1	0
Patient	-0.594	2.41		128	0		0	0		0.1	0
Psych ctrl	-1.56	3.96		128	0		0	0		0.1	0
A10
Control	1.63	3.22		128	0		0	0		0.1	0
Patient	3.9	4.83		128	0		0	0		0.1	0
Psych ctrl	4.29	5.53		128	0		0	0		0.1	0
A11
Control	-2.31	1.79		31.8	57.1		0	0		0	0
Patient	-1.21	1.31		15	21.2		0	0		0	0
Psych ctrl	-2.4	2.03		19.2	37.4		0	0		0	0
A12
Control	-2.16	1.46		31.2	57.4		0	0		0.0792	0.122
Patient	-0.864	1.56		20	26.1		0	0		0.153	0.191
Psych ctrl	-1.51	2.32		26.8	44.4		0	0		0.205	0.232
A13
Control	-3.51	1.04		8.34	0.918		1.21	0.942		0.22	0.123
Patient	-2.01	2.03		7.73	1.64		0.702	0.954		0.238	0.16
Psych ctrl	-2.17	1.98		7.7	1.7		0.45	1.02		0.256	0.148
A14
Control	-2.44	0.763		8.13	0.933		1.01	1.06		0.199	0.128
Patient	-1.35	1.5		7.68	1.61		0.611	0.999		0.226	0.152
Psych ctrl	-1.45	1.46		7.57	1.66		0.248	0.983		0.231	0.153
A15
Control	-3.3	1.33		100	45.9		2.1	1.47		0.236	0.207
Patient	-1.66	2.42		90.5	50.1		1.31	1.32		0.463	0.28
Psych ctrl	-1.67	2.71		85.6	53.8		0.868	1.66		0.334	0.254
A16
Control	-2.31	1.79		31.8	57.1		0	0		0	0
Patient	-1.21	1.31		15	21.2		0	0		0	0
Psych ctrl	-2.4	2.03		19.2	37.4		0	0		0	0

ANOVA model summaries table

	Omega			Nu			M			Phi
	F(2,80)	p		F(2,80)	p		F(2,80)	p		F(2,80)	p
A9	0.62	0.54		0.65	0.53		0.65	0.53		0.65	0.53
A10	3.2	0.048		0.65	0.53		0.65	0.53		0.65	0.53
A11	3.7	0.029		1.2	0.3		1.2	0.3
A12	4.1	0.021		0.43	0.65		0.43	0.65		3.6	0.032
A13	7.6	0.00095		2	0.14		2	0.14		0.45	0.64
A14	7.5	0.001		1.4	0.25		1.4	0.25		0.46	0.63
A15	6.1	0.0034		0.68	0.51		0.68	0.51		6.4	0.0026
A16	3.7	0.029		1.2	0.3		1.2	0.3

Tukey HSD post-hoc tests

	Omega		Nu		M		Phi
	p.adj		p.adj		p.adj		p.adj
A9
Patient-Control	0.94		1				0.65
Psych ctrl-Control	0.67		1				0.67
Psych ctrl-Patient	0.53		1				1
A10
Patient-Control	0.13		1				0.65
Psych ctrl-Control	0.074		1				0.67
Psych ctrl-Patient	0.95		1				1
A11
Patient-Control	0.047		0.31
Psych ctrl-Control	0.98		0.54
Psych ctrl-Patient	0.057		0.94
A12
Patient-Control	0.016		0.63				0.25
Psych ctrl-Control	0.36		0.93				0.028
Psych ctrl-Patient	0.42		0.87				0.58
A13
Patient-Control	0.0023		0.22		0.11		0.88
Psych ctrl-Control	0.01		0.22		0.013		0.61
Psych ctrl-Patient	0.94		1		0.65		0.89
A14
Patient-Control	0.0026		0.42		0.29		0.74
Psych ctrl-Control	0.0099		0.29		0.019		0.67
Psych ctrl-Patient	0.96		0.96		0.45		0.99
A15
Patient-Control	0.01		0.72		0.1		0.0017
Psych ctrl-Control	0.015		0.51		0.0078		0.3
Psych ctrl-Patient	1		0.94		0.57		0.17
A16
Patient-Control	0.047		0.31
Psych ctrl-Control	0.98		0.54
Psych ctrl-Patient	0.057		0.94

Parametric effect sizes (eta-squared)

	Omega		Nu		M		Phi
A9	0.015		Inf				Inf
A10	0.073		Inf				Inf
A11	0.085		0.029
A12	0.092		0.011				0.083
A13	0.16		0.048		0.1		0.011
A14	0.16		0.034		0.09		0.011
A15	0.13		0.017		0.11		0.14
A16	0.085		0.029

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Non-parametric tests (Kruskal-Wallis)

	Omega			Nu			M			Phi
	Chi sq(2, n=83)	p		Chi sq(2, n=83)	p		Chi sq(2, n=83)	p		Chi sq(2, n=83)	p
A9	3.4	0.18
A10	3.5	0.17
A11	9.1	0.011		0.868	0.65
A12	9.26	0.0098		0.292	0.86					10.3	0.0058
A13	9.11	0.011		1.89	0.39		8.23	0.016		0.385	0.82
A14	9.43	0.009		0.96	0.62		6.84	0.033		0.385	0.82
A15	6.14	0.046		1.53	0.47		9.53	0.0085		9.88	0.0072
A16	9.1	0.011		0.868	0.65

Post-hoc non-parametric tests (Dunn test)

	Omega		Nu		M		Phi
A9
Patient-Control	0.37
Psych ctrl-Control	0.11
Psych ctrl-Patient	0.17
A10
Patient-Control	0.13
Psych ctrl-Control	0.18
Psych ctrl-Patient	0.39
A11
Patient-Control	0.015		0.55
Psych ctrl-Control	0.25		0.57
Psych ctrl-Patient	0.0078		0.39
A12
Patient-Control	0.0038		0.71				0.0068
Psych ctrl-Control	0.2		0.42				0.013
Psych ctrl-Patient	0.055		0.9				0.41
A13
Patient-Control	0.01		0.27		0.06		0.48
Psych ctrl-Control	0.022		0.35		0.0094		0.84
Psych ctrl-Patient	0.39		0.45		0.2		0.61
A14
Patient-Control	0.012		0.59		0.14		0.84
Psych ctrl-Control	0.014		0.5		0.016		0.67
Psych ctrl-Patient	0.46		0.34		0.15		0.45
A15
Patient-Control	0.038		0.5		0.035		0.0025
Psych ctrl-Control	0.063		0.34		0.0055		0.11
Psych ctrl-Patient	0.39		0.3		0.21		0.099
A16
Patient-Control	0.015		0.55
Psych ctrl-Control	0.25		0.57
Psych ctrl-Patient	0.0078		0.39

Non-parametrametric effect sizes

(Eta-squared = Kruskal-Wallis Chi-sq statistic / N-1)

	Omega		Nu		M		Phi
A9	0.0415
A10	0.0427
A11	0.111		0.0106
A12	0.113		0.00356				0.126
A13	0.111		0.023		0.1		0.0047
A14	0.115		0.0117		0.0834		0.0047
A15	0.0749		0.0187		0.116		0.12
A16	0.111		0.0106

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Plots

Selected subject(s) response trajectory

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Box and scatter plots of parameter posteriors