TABLE I.

Generalized linear mixed-models showing model selection results and the parameters (β) and standard errors (SE) for each factor included in each model (**P < = 0.01, *0.05 < P < = 0.1).

Model	ΔAIC	AIC	Random effect variance	Parameter value	Intercept	Level difference	Nominal level	Noise	Initial stimulus	Nominal level × Noise	Level difference × Noise	Level difference × Nominal level
1	6.2	317.8	0.311	β	0.202	0.315*	−1.350*	0.738	0.248	0.456	−0.200	0.154
				SE	0.692	0.168	0.788	0.800	0.333	0.586	0.184	0.184
2	4.9	316.5	0.299	β	−0.095	0.400**	−0.818*	0.735	0.245	0.483	−0.206
				SE	0.576	0.131	0.441	0.781	0.331	0.585	0.183
3	4.1	315.7	0.287	β	0.259	0.298**	−0.793*	0.000	0.243	0.450
				SE	0.487	0.091	0.433	0.437	0.328	0.582
4	2.7	314.3	0.282	β	0.140	0.297**	−0.578*	0.252	0.242
				SE	0.457	0.091	0.329	0.288	0.327
5	1.3	312.9	0.299	β	0.263	0.297**	−0.581*	0.252
				SE	0.427	0.091	0.331	0.288
6	0	311.6	0.294	β	0.387	0.296**	−0.579*
				SE	0.403	0.091	0.330
7	1.0	312.6	0.382	β	0.100	0.296**
				SE	0.367	0.091
Null model	10.0	321.6	0.306	β	1.214
				SE	0.161