Table 4.

Results of the moderated mediation analysis (Model 63 – see Figure 4a) testing the effects of run length (IV), Δ probability (mediator), final color and gambling status (moderators), BSSS, BIS-11, BSSS × gambling status, and BIS-11 × gambling status (covariates) on alternation choice

Logistic regression summary	−2 LL	Model LL	p	Cox–Snell	Nagelkerke
	357.1832	74.3422	<.001	0.2073	0.2800

Model	B	z	p	CI
Constant	−0.5034	−1.5491	.1214	[−1.1404, 0.1335]
Δ Probability	0.0571	3.6187	.0003	[0.0262, 0.0880]
Run length	0.8928	2.0061	.0448	[0.0205, 1.7651]
Δ Probability × final color	−0.1216	−5.5521	.0000	[−0.1645, −0.0787]
Final color	1.6794	4.5850	.0000	[0.9615, 2.3974]
Run length × final color	−1.1975	−2.3038	.0212	[−2.2164, −0.1787]
Gambling status	−0.0625	−0.1606	.8724	[−0.8249, 0.6999]
Run length × gambling status	0.0257	0.0481	.9616	[−1.0205, 1.0719]
BSSS	−0.1030	−0.3027	.7621	[−0.0773, 0.0566]
BIS-11	0.0007	0.0327	.9739	[−0.0408, 0.0422]
BSSS × gambling status	−0.0156	−0.3278	.7431	[−0.1091, 0.0778]
BIS-11 × gambling status	−0.0196	−0.6978	.4853	[−0.0745, 0.454]

Conditional direct effect of run length on alternation choice at values of the moderator(s)
Final color	Gambling status	Effect	p	CI
Red	Non-problem gamblers	.8928	.0457	[0.0205, 1.7651]
Red	Problem gamblers	.9185	.0391	[0.0496, 1.7875]
Black	Non-problem gamblers	−.3047	.5074	[−1.2056, 0.5962]
Black	Problem gamblers	−.2790	.5634	[−1.2255, 0.6674]

Conditional indirect effect(s) of run length through Δ probability (mediator) on alternation choice at values of moderator(s)
Final color	Gambling status	Effect	CI
Red	Non-problem gamblers	0.4673	[0.0488, 1.3982]
Red	Problem gamblers	0.3175	[−0.0674, 1.1556]
Black	Non-problem gamblers	0.1270	[−0.3476, 0.6961]
Black	Problem gamblers	0.2962	[−0.1681, 0.8525]

Note. BSSS: Brief Sensation Seeking Scale; BIS: Barratt Impulsiveness Scale 11; CI: confidence interval; LL: log likelihood.