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

Table 1: Simulated type I error rates (%) for three Wald Tests with different variance ratios when the numbers of product lots are equal if f = 1.5.

n_T	n_R	$\frac{σ_{T}^{2}}{σ_{R}^{2}}$	Simulated type I error rate
n_T	n_R	$\frac{σ_{T}^{2}}{σ_{R}^{2}}$	CMLE	MWCMLE	UMWCMLE
6	6	0.25	3.0726	4.8217	6.0644*
		0.5	3.2304	4.9344	6.1406*
		1.0	3.3346	5.0310*	6.1845*
		2.0	3.0959	4.7161	5.8023*
		4.0	2.0638	3.3248	4.2259
10	10	0.25	3.3869	4.7339	5.6029*
		0.5	3.5148	4.8141	5.6374*
		1.0	3.6749	4.9202	5.6987*
		2.0	3.8109	4.9815	5.692*
		4.0	3.3862	4.4441	5.0727*
15	15	0.25	3.6021	4.7224	5.3972*
		0.5	3.6933	4.7962	5.4385*
		1.0	3.8399	4.8715	5.4702*
		2.0	4.0088	4.9193	5.4665*
		4.0	4.0739	4.8862	5.3507*
25	25	0.25	3.8906	4.7692	5.2811*
		0.5	3.6933	4.7962	5.4385*
		1.0	3.8399	4.8715	5.4702*
		2.0	4.0088	4.9193	5.4665*
		4.0	4.0739	4.8862	5.3507*
25	25	0.25	3.8906	4.7692	5.2811*
		0.5	3.9598	4.7986	5.3015*
		1.0	4.0532	4.8561	5.3081*
		2.0	4.1977	4.9019	5.3156*
		4.0	4.3411	4.9602	5.2896*
100	100	0.25	4.3875	4.8562	5.1081*
		0.5	4.4226	4.8631	5.106*
		1.0	4.4596	4.8796	5.0952*
		2.0	4.5135	4.8837	5.0861*
		4.0	4.6005	4.8989	5.0584*
1000	1000	0.25	4.7958	4.9526	5.0303*
		0.5	4.8103	4.9534	5.0284*
		1.0	4.8304	4.963	5.0311*
		2.0	4.8586	4.9807	5.0363*
		4.0	4.8776	4.9797	5.0328*

*: Simulated type I error rate is inflated.