Table 4.

Summary of Simulation Results for Condition 3. (Factors and errors are nonnormally distributed, and they are dependent.)

	Sample Size
Test Statistics	50	100	250	500	1,000	2,500	5,000
ML
Mean	149.251	159.211	176.434	197.834	202.859	217.761	224.404
SD	33.036	38.562	56.070	76.511	72.881	91.106	67.324
Type I Error	0.936	0.94	0.98	0.988	1.00	0.994	0.998
Empirical Power	0.972	0.995	1.00	1.00	1.00	1.00	1.00
SB scaled
Mean	109.717 / 63.056	97.687	91.077	87.562	87.218	86.712	86.489
SD	15.509 / 8.913	13.739	12.793	11.828	11.189	13.817	12.688
Type I Error	0.446 / 0.286	0.17	0.06	0.028	0.026	0.032	0.036
Empirical Power	0.648 / 0.476	0.52	0.582	0.856	0.992	0.998	0.998
MV
Mean	13.321	14.403	17.527	19.030	24.708	30.199	34.724
SD	4.757	6.298	8.824	10.302	11.936	15.927	17.941
Type I Error	0.016	0.002	0.004	0.00	0.00	0.01	0.006
Empirical Power	0.028	0.035	0.098	0.396	0.758	0.956	0.984
MS
Mean	5.476	5.148	5.501	5.356	6.985	8.636	10.279
SD	2.724	3.698	3.698	3.904	5.536	7.604	9.304
Type I Error	0.00	0.00	0.00	0.00	0.00	0.002	0.00
Empirical Power	0.006	0.005	0.002	0.072	0.306	0.832	0.962