APPENDIX B Tables 8 and 9—Critical Values for the Sign Test and the Wilcoxon Signed-Rank Test A25 Table 8—Critical Values for the Sign Test Reject the null hypothesis when the test statistic x is less than or equal to the value in the table. Note: Table 8 is for one-tailed or two-tailed tests. The sample size n represents the total number of + and - signs. The test value is the smaller number of + or - signs. From Journal of American Statistical Association Vol. 41 (1946), pp. 557– 566. W. J. Dixon and A. M. Mood. One-tailed, A = 0.005 A = 0.01 A = 0.025 A = 0.05 n Two-tailed, A = 0.01 A = 0.02 A = 0.05 A = 0.10 8 0 0 0 1 9 0 0 1 1 10 0 0 1 1 11 0 1 1 2 12 1 1 2 2 13 1 1 2 3 14 1 2 3 3 15 2 2 3 3 16 2 2 3 4 17 2 3 4 4 18 3 3 4 5 19 3 4 4 5 20 3 4 5 5 21 4 4 5 6 22 4 5 5 6 23 4 5 6 7 24 5 5 6 7 25 5 6 6 7 Table 9—Critical Values for the Wilcoxon Signed-Rank Test Reject the null hypothesis when the test statistic ws is less than or equal to the value in the table. From Some Rapid Approximate Statistical Procedures. Copyright 1949, 1964 Lederle Laboratories, American Cyanamid Co., Wayne, N.J. One-tailed, A = 0.05 A = 0.025 A = 0.01 A = 0.005 n Two-tailed, A = 0.10 A = 0.05 A = 0.02 A = 0.01 5 1 — — — 6 2 1 — — 7 4 2 0 — 8 6 4 2 0 9 8 6 3 2 10 11 8 5 3 11 14 11 7 5 12 17 14 10 7 13 21 17 13 10 14 26 21 16 13 15 30 25 20 16 16 36 30 24 19 17 41 35 28 23 18 47 40 33 28 19 54 46 38 32 20 60 52 43 37 21 68 59 49 43 22 75 66 56 49 23 83 73 62 55 24 92 81 69 61 25 101 90 77 68 26 110 98 85 76 27 120 107 93 84 28 130 117 102 92 29 141 127 111 100 30 152 137 120 109
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