Equivariance and Generalized Inference in Two-Sample Location-Scale Families

Table 8

Powers for 𝛿 for the normal case: other scenarios with unequal sample sizes.

Sizes (𝑚,𝑛)	(𝛿,𝜎1,𝜎2)	Power		(𝛿,𝜎1,𝜎2)	Power
		Welch	GTV		Welch	GTV
(10,5)	(−2,2,1)	0.7712	0.7791	(−102,200,2)	0.438	0.4402
	(−1,2,1)	0.3216	0.3304	(−12,200,2)	0.066	0.0678
	(0,2,1)	0.045	0.0458	(0,200,2)	0.0524	0.049
	(1,2,1)	0.0016	0.002	(8,200,2)	0.0448	0.042
	(2,2,1)	0	0	(98,200,2)	0.001	0
(100,5)	(−2,2,1)	0.9616	0.9678	(−102,200,2)	0.9994	0.9996
	(−1,2,1)	0.555	0.558	(−12,200,2)	0.148	0.152
	(0,2,1)	0.0478	0.0544	(0,200,2)	0.0532	0.0476
	(1,2,1)	0	0	(8,200,2)	0.0214	0.0196
	(2,2,1)	0	0	(98,200,2)	0	0
(100,50)	(−2,2,1)	1	1	(−102,200,2)	0.9984	0.999
	(−1,2,1)	0.992	0.9932	(−12,200,2)	0.1378	0.156
	(0,2,1)	0.0512	0.0492	(0,200,2)	0.051	0.0486
	(1,2,1)	0	0	(8,200,2)	0.0218	0.0214
	(2,2,1)	0	0	(98,200,2)	0	0