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Nonparametric Hypothesis Testing: Rank and Permutation Methods with Applications in R by Luigi Salmaso, Marco Marozzi, Livio Corain, Stefano Bonnini

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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{Lx}. Under these conditions, if x is such that P0{Lx} = α, then ℓα = x.

k = 3
n x P0{Lx} n x P0{Lx} n x P0{Lx}
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{Lx} n x P0{Lx} n x P0{Lx}
2 55 .1476 4 108 .1008 5 138 .0253
56 .1059 109 .0724 139 .0167
57 .0556 110 .0504 140 .0106
58

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