Table 1. Null rejection rates ($\mathrm{\%}$), fixed dispersion I.

			${\mu }_1$			${\mu }_2$			${\mu }_3$
φ	l	n	w	$w^{\ast }$	$w^{\ast \ast }$	w	$w^{\ast }$	$w^{\ast \ast }$	w	$w^{\ast }$	$w^{\ast \ast }$
$\alpha =10\mathrm{\%}$
30	1	20	14.9	10.0	10.3	14.7	10.0	10.4	14.7	10.0	10.4
		40	12.2	9.8	9.9	11.8	9.8	9.9	12.1	9.9	10.0
		60	11.3	9.9	9.9	11.3	9.8	9.9	11.1	9.8	9.9
	2	20	16.2	10.3	10.7	16.3	10.5	10.8	16.2	10.4	10.8
		40	13.1	10.0	10.2	13.0	10.2	10.3	12.9	10.2	10.3
		60	11.8	10.1	10.1	11.8	10.1	10.2	11.8	10.1	10.2
10	1	20	14.9	9.9	10.3	14.8	9.9	10.3	14.7	9.7	10.1
		40	12.0	9.9	9.9	11.7	9.6	9.7	11.9	9.7	11.9
		60	11.9	10.4	10.5	11.8	10.6	10.7	11.7	10.5	10.5
	2	20	15.6	9.7	10.1	15.8	10.0	10.3	15.5	9.9	10.1
		40	12.6	9.8	9.9	12.3	9.7	9.7	12.3	9.6	9.7
		60	11.8	10.1	10.1	11.5	10.0	10.0	11.4	10.1	10.1
5	1	20	15.0	10.4	10.7	15.0	10.4	10.8	14.7	10.3	10.6
		40	11.6	9.3	9.5	11.7	9.7	9.8	11.2	9.3	9.4
		60	11.3	9.8	10.0	11.4	10.0	10.1	11.2	9.8	9.9
	2	20	16.5	9.8	10.2	15.8	9.6	10.0	15.7	9.8	10.1
		40	12.7	10.0	10.0	12.6	10.0	10.0	12.3	9.9	10.0
		60	11.2	9.5	9.6	11.5	9.9	9.9	11.2	9.9	9.9
$\alpha =5\mathrm{\%}$
30	1	20	8.4	5.2	5.4	8.6	5.2	5.4	8.2	5.1	5.3
		40	6.2	4.7	4.9	6.4	4.8	4.9	6.3	4.7	4.8
		60	6.0	5.2	5.2	6.2	5.1	5.2	5.8	5.1	5.2
	2	20	9.5	5.0	5.2	9.5	5.3	5.4	9.5	5.1	5.4
		40	6.7	5.1	5.2	6.7	4.7	4.8	6.7	4.8	4.9
		60	6.4	5.0	5.0	6.2	5.0	5.0	6.1	5.1	5.1
10	1	20	8.3	5.3	5.5	8.4	5.1	5.3	8.1	5.1	5.4
		40	6.4	4.8	4.9	6.0	4.6	4.7	6.1	4.6	4.7
		60	6.3	5.3	5.4	6.0	5.1	5.2	6.2	5.3	5.3
	2	20	9.2	5.2	5.4	9.1	5.1	5.3	8.9	5.2	5.3
		40	6.6	4.8	4.8	6.5	4.9	4.9	6.4	4.7	4.8
		60	6.4	5.0	5.1	6.2	5.0	5.0	6.3	5.2	5.2
5	1	20	8.9	5.3	5.6	8.5	5.1	5.4	8.5	5.1	5.3
		40	6.3	5.0	5.1	6.2	4.8	4.9	6.1	4.9	4.9
		60	5.6	4.8	4.9	5.9	5.0	5.2	5.6	4.8	4.8
	2	20	9.4	4.6	4.7	9.0	4.8	5.1	8.8	4.8	4.9
		40	6.9	4.8	4.8	6.6	4.9	4.9	6.6	4.8	4.8
		60	6.0	4.7	4.8	5.9	4.7	4.7	5.9	4.8	4.8
$\alpha =1\mathrm{\%}$
30	1	20	2.4	1.0	1.1	2.4	1.0	1.0	2.3	0.9	1.0
		40	1.3	0.9	0.9	1.4	1.0	1.0	1.4	0.9	1.0
		60	1.4	1.0	1.0	1.4	1.0	1.0	1.3	1.0	1.1
	2	20	2.5	1.0	1.1	2.6	0.9	1.0	2.5	0.9	0.9
		40	1.6	0.9	1.0	1.5	1.0	1.0	1.5	1.0	1.0
		60	1.3	1.0	1.0	1.4	1.0	1.0	1.4	1.0	1.0
10	1	20	2.4	1.0	1.1	2.4	1.0	1.2	2.3	1.0	1.2
		40	1.4	0.9	1.0	1.3	0.9	0.9	1.4	0.9	0.9
		60	1.4	1.0	1.1	1.2	0.9	1.0	1.3	0.9	1.0
	2	20	2.8	1.0	1.1	2.7	1.0	1.1	2.7	1.0	1.1
		40	1.5	0.9	0.9	1.5	1.0	1.0	1.4	0.9	0.9
		60	1.4	1.0	1.0	1.5	1.0	1.0	1.4	1.1	1.1
5	1	20	2.4	1.0	1.1	2.4	1.0	1.1	2.2	1.0	1.1
		40	1.4	0.9	1.0	1.4	0.9	1.0	1.4	0.9	1.0
		60	1.3	1.0	1.1	1.3	1.0	1.1	1.4	1.0	1.0
	2	20	2.6	0.9	1.0	2.5	1.0	1.0	2.4	0.9	1.0
		40	1.4	0.8	0.8	1.5	0.8	0.9	1.3	0.8	0.9
		60	1.4	0.9	0.9	1.2	0.9	0.9	1.3	0.9	0.9