Table 2: Simulated type I error rates (%) for three Wald Tests with different variance ratios when the numbers of product lots are unequal if f = 1.5.

nT nR σ T 2 σ R 2 Simulated type I error rate
CMLE MWCMLE UMWCMLE
10 6 0.25 2.97 4.7258 5.9699*
0.5 3.0607 4.7881 5.9839*
1.0 3.1977 4.8313 5.9892*
2.0 3.2077 4.7841 5.8667*
4.0 2.6001 4.0661 5.0568*
10 25 0.25 4.0707 4.9179 5.4112*
0.5 4.2147 5.0159* 5.4703*
1.0 4.3829 5.1207* 5.5264*
2.0 4.5277 5.1431* 5.4942*
4.0 4.2419 4.7668 5.0521*
10 100 0.25 4.7472 5.1223* 5.3247*
0.5 4.8388 5.1581* 5.3271*
1.0 4.8699 5.1273* 5.2587*
2.0 4.8994 5.0872* 5.1927*
4.0 4.0 4.8087 4.8859*
6 10 0.25 3.5843 4.9327 5.7657*
0.5 3.7697 5.0818* 5.9048*
1.0 3.9773 5.2181* 5.9956*
2.0 3.8526 5.0389* 5.7476*
4.0 2.6982 3.6261 4.2085
25 10 0.25 3.3113 4.6766 5.5578*
0.5 3.3711 4.7027 5.5704*
1.0 3.447 4.7439 5.568*
2.0 3.5432 4.7785 5.5739*
4.0 3.6815 4.8036 5.4995*
100 10 0.25 3.1975 4.5566 5.4537*
0.5 3.232 4.5989 5.484*
1.0 3.2616 4.626 5.4846*
2.0 3.3017 4.6427 5.5023*
5.5023* 3.3697 4.6508 5.4714*

*: Simulated type I error rate is inflated.