Comparisons of type I error and power between two-sample t-test.

Table 3: Comparisons of type I error and power between two-sample t-test.

Standard deviation	Mean (A)	Mean (B)	Size	Type I error	Power	Power^*
0.8	0.0	0.3	40	0.056	0.401	0.277
			60	0.051	0.512	0.614
			80	0.051	0.638	0.816
		0.5	40	0.056	0.792	0.792
			60	0.051	0.919	1.000
			80	0.051	0.972	1.000
	0.8	0.4	40	0.056	0.580	0.713
			60	0.051	0.785	0.977
			80	0.051	0.874	1.000
		0.6	40	0.056	0.189	0.011
			60	0.051	0.290	0.080
			80	0.051	0.356	0.224
0.5	0.0	0.3	40	0.056	0.758	0.904
			60	0.051	0.892	1.000
			80	0.051	0.964	1.000
		0.5	40	0.056	0.997	1.000
			60	0.051	1.000	1.000
			80	0.051	1.000	1.000
	0.8	0.4	40	0.056	0.940	1.000
			60	0.051	0.995	1.000
			80	0.051	0.997	1.000
		0.6	40	0.056	0.406	0.330
			60	0.051	0.581	0.648
			80	0.051	0.696	0.895

^*: $T y p e I E r r o r = P r o b [| {\bar{Y}}_{B} - {\bar{Y}}_{A} | \geq | μ_{B} - μ_{A} | w h e n d a t a g e n e r a t e d u n d e r H_{0}]$ and $P o w e r = P r o b [| {\bar{Y}}_{B} - {\bar{Y}}_{A} | \geq | μ_{B} - μ_{A} | w h e n d a t a g e n e r a t e d u n d e r H_{1}]$ .