Table 2.

Power and type I error from tests for treatment effects (interaction between Passenger Presence and Passenger Type) based on 500 data sets, each with a sample size of 60, under different models and different treatment effect α₃ in the occurrence outcome, treatment effect β₃ xin the intensity outcome, and random effects effect β₃ correlation ρ. The size for all the tests was set at .05. The rows represent the different parameterizations of α₃, β₃, and ρ. Columns 2 through 4 list the power corresponding to the different tests. Where effect α₃ = β₃ = 0, the values are type I errors.

Parameters (α3,β3,ρ)	Logistic Regression	Linear Regression	Correlated Random Effects Model	Wilcoxon Rank Sum Test
(−.62, −.14, .80)	.78	.98	1.00	.49
(−.62, −.14, .20)	.78	.98	1.00	.50
(−.62, −.14, .00)	.78	.99	1.00	.50
(−.62, −.14, – .20)	.77	.98	1.00	.49
(−.62, −.07, .80)	.78	.58	.90	.76
(−.62, −.07, .20)	.78	.60	.90	.72
(−.62, −.07, .00)	.78	.60	.90	.72
(−.62, −.07, – .20)	.77	.62	.88	.73
(−.62, −.04, .80)	.78	.22	.78	.83
(−.62, −.04, .20)	.78	.23	.77	.81
(−.62, −.04, .00)	.78	.23	.78	.82
(−.62, −.04, −.20)	.77	.23	.77	.80
(−.62, .00, .80)	.78	.05	.66	.92
(−.62, .00, .20)	.78	.04	.67	.89
(−.62, .00, .00)	.78	.05	.66	.89
(−.62, .00, −.20)	.77	.04	.67	.89
(−.30, −.14, .80)	.24	.99	.99	.08
(−.30, −.14, .20)	.26	.99	.99	.08
(−.30, −.14, .00)	.25	.99	.99	.07
(−.30, −.14, −.20)	.26	.99	.98	.08
(−.20, −.14, .80)	.13	.99	.98	.05
(−.20, −.14, .20)	.15	.98	.99	.06
(−.20, −.14, .00)	.14	.99	.98	.06
(−.20, −.14, −.20)	.14	.99	.98	.06
(.00, −.14, .80)	.06	.99	.98	.15
(.00, −.14, .20)	.07	.98	.98	.16
(.00, −.14, .00)	.07	.99	.98	.16
(.00, −.14, −.20)	.06	.99	.98	.14
(.00, .00, .80)	.06	.03	.06	.06
(.00, .00, .20)	.07	.05	.05	.06
(.00, .00, .00)	.07	.05	.06	.06
(.00, .00, −.20)	.06	.04	.06	.06
(.00, .00, −.80)	.05	.04	.05	.06