Nonparametric Hypothesis Testing: Rank and Permutation Methods with Applications in R

Appendix C Selected upper-tail probabilities for the null distribution of the Page L statistic

Table C.1 Selected upper-tail probabilities for the null distribution of the Page L statistic:

            k = 3, n = 2(1)15; k = 4(1)8, n = 2(1)10.

For given k and n, the table entry for the point x is P₀{L ≥ x}. Under these conditions, if x is such that P₀{L ≥ x} = α, then ℓ_α = x.

k = 3
n	x	P0{L ≥ x}	n	x	P0{L ≥ x}	n	x	P0{L ≥ x}
2	27	.1389	7	89	.1173	10	126	.1112
28	.0278	90	.0716	127	.0738
91	.0409	128	.0466
3	39	.1528	92	.0211	129	.0279
40	.0880	93	.0097	130	.0157
41	.0324	94	.0040	131	.0083
42	.0046	95	.0014	132	.0041
96	.0004	133	.0018
4	52	.1088	134	.0007
53	.0563	8	101	.1331
54	.0255	102	.0862	11	141	.05
55	.0069	103	.0521	144	.01
56	.0008	104	.0295	147	.001
105	.0154
5	64	.1412	106	.0073	12	153	.05
65	.0795	107	.0031	156	.01
66	.0394	108	.0012	160	.001
67	.0181	109	.0004
68	.0066	13	165	.05
69	.0014	9	113	.1472	169	.01
70	.0001	114	.0990	172	.001
115	.0633
6	76	.1596	116	.0381	14	178	.05
77	.0996	117	.0215	181	.01
78	.0572	118	.0113	185	.001
79	.0288	119	.0055
80	.0131	120	.0024	15	190	.05
81	.0053	121	.0009	194	.01
82	.0016	197	.001
83	.0003
k = 4
n	x	P0{L ≥ x}	n	x	P0{L ≥ x}	n	x	P0{L ≥ x}
2	55	.1476	4	108	.1008	5	138	.0253
56	.1059	109	.0724	139	.0167
57	.0556	110	.0504	140	.0106
58