Testing Homogeneity in a Semiparametric Two-Sample Problem

Table 3

Type I error and power comparisons (%) of the EM test and the score test (SC test) for gamma model:𝑛₀=𝑛₁=50.

𝜆	𝑚	Level	EM^𝑛(1)	EM^𝑛(2)	EM^𝑛(3)	SC test
0		10	12.2	12.5	12.5	12.1
0		5	6.4	6.6	6.6	6.7
0		1	1.4	1.4	1.4	2.3
0.1	2	10	14.9	15.1	15.2	12
0.1	2	5	8.8	8.9	8.9	6.4
0.1	2	1	2.8	2.8	2.8	0.6
0.1	3	10	19.6	19.9	19.9	14.1
0.1	3	5	13.2	13.2	13.2	7.7
0.1	3	1	4.3	4.4	4.4	1
0.1	4	10	25.5	26.4	26.5	17
0.1	4	5	17.5	17.9	17.9	9.2
0.1	4	1	6.3	6.4	6.4	1.1
0.2	2	10	22.9	22.7	22.8	17.6
0.2	2	5	14.4	14.3	14.3	9.2
0.2	2	1	4.5	4.7	4.7	1.2
0.2	3	10	39.6	39.9	40	27.4
0.2	3	5	29.1	29.5	29.5	16.7
0.2	3	1	14.3	14.4	14.4	4
0.2	4	10	61.1	61.7	61.7	37
0.2	4	5	49.2	49.6	49.6	24.1
0.2	4	1	28.4	28.6	28.6	6.6
0.3	2	10	36.3	36.4	36.4	28.6
0.3	2	5	26.1	25.9	25.9	16.9
0.3	2	1	11.9	11.9	11.9	3.1
0.3	3	10	67.2	67.2	67.2	48.9
0.3	3	5	55.8	55.8	55.8	35.1
0.3	3	1	34	34	34.1	11.3
0.3	4	10	87.9	88.1	88.2	67.5
0.3	4	5	81.8	82.2	82.2	53.4
0.3	4	1	63.1	63.3	63.4	21.4