Research Article

Comparison of Test Statistics of Nonnormal and Unbalanced Samples for Multivariate Analysis of Variance in terms of Type-I Error Rates

Table 1

Type-1 error rates of simulation results for Gamma distribution.

Number of variables
Test statisticRHWRHW

Homogeneous variance
Gamma distribution (4-4-4; 0.5)(10-10-10)0.04730.04910.04370.04900.05010.05070.04690.0513
(20-20-20)0.05140.04970.05270.04490.05130.05410.04520.0495
(50-50-50)0.04920.05060.05410.04930.05100.04910.05110.0475
(10-10-20)0.04910.05390.05180.05090.04820.04700.05060.0460
(10-10-50)0.05010.04930.04930.04480.04870.05290.04620.0490
(10-20-20)0.04730.05170.04890.04850.04980.05130.05130.0478
(10-20-50)0.05550.05080.05020.04720.04940.04840.04870.0514
(10-50-50)0.04860.05020.05140.05460.05530.05000.04960.0519
(20-20-50)0.04750.05020.04890.04720.04730.04910.04830.0517
(20-50-50)0.04920.04910.05010.05150.04710.05030.04890.0475

Heterogeneous variance
Gamma distribution (4-9-36; 0.5)(10-10-10)0.04800.04580.04910.04740.05170.05050.05020.0483
(20-20-20)0.04880.04860.04740.05010.05140.04780.05090.0513
(50-50-50)0.04580.05180.04690.05330.04990.04930.05000.0481
(10-10-20)0.04590.05030.05180.04970.04900.04470.04980.0477
(10-10-50)0.04620.04920.04960.04740.05180.04870.04890.0512
(10-20-20)0.04870.05060.04770.05350.04970.04850.05070.0497
(10-20-50)0.04830.05160.04990.05040.05130.04570.05640.0531
(10-50-50)0.05080.05140.04850.05280.05090.05150.05190.0449
(20-20-50)0.04770.04830.04840.04810.04790.05060.05440.0492
(20-50-50)0.04880.05250.04810.04800.05000.04820.04950.0504