1 252Wilcoxonpval 8 23 05 TABLE 5 Simplified Wilcoxon Mann Whitney Rank Sum Test for Two Independent Samples This table gives the p value corresponding to the rank sum W of the smaller sample when ranking is done starting from the end where the smaller sample is concentrated p values are doubled for two sided tests For example suppose we are testing equality of medians for 05 n 2 6 and n1 3 and that W 8 The p value for 8 is 0476 which we double to 0952 Since this is above we do not reject the null hypothesis Larger Sample size n 2 2 n1 Smaller Sample Size 1 W 1 2 p 3333 W 3 4 p 1667 3333 n 2 3 Size n1 Larger Sample size Smaller Sample 1 W 1 2 p 2500 5000 W 3 4 5 6 2 p 1000 2000 4000 6000 W 6 7 8 9 10 3 p 0500 1000 2000 3500 5000 n 2 4 Size n1 Larger Sample size Smaller Sample 1 W 1 2 3 p 2000 4000 6000 W 3 4 5 6 7 2 p 0667 1333 2667 4000 6000 W 6 7 8 9 10 11 12 3 p 0286 0571 1143 2000 3143 4286 5714 W 10 11 12 13 14 15 16 17 18 4 p 0143 0286 0571 1000 1714 2429 3429 4429 5571 n 2 5 Size n1 Larger Sample size Smaller Sample 1 W 1 2 3 p 1667 3333 5000 W 3 4 5 6 7 8 2 p 0476 0952 1905 2857 4286 5714 W 6 7 8 9 10 11 12 13 3 p 0179 0357 0714 1250 1964 2857 3929 5000 W 10 11 12 13 14 15 16 17 18 19 20 4 p 0079 0159 0317 0556 0952 1429 2063 2778 3651 4524 5476 Pg 20 W 15 16 17 18 19 20 21 22 23 24 25 26 27 5 p 0040 0079 0159 0278 0476 0754 1111 1548 2103 2738 3452 4206 5000 2 252table5 TABLE 5 Simplified Wilcoxon Mann Whitney Rank Sum Test for Two Independent Samples ctd Larger Sample size n 2 6 Smaller Sample Size 1 W 1 2 3 4 p 1429 2857 4286 5714 2 W 3 4 5 6 7 8 9 p 0357 0714 1429 2143 3214 4286 5714 3 W 6 7 8 9 10 11 12 13 14 15 n1 4 p 0119 0238 0476 0833 1310 1905 2738 3571 4524 5476 W 10 11 12 13 14 15 16 17 18 19 20 21 22 5 p 0048 0095 0190 0333 0571 0857 1286 1762 2381 3048 3810 4571 5429 Larger Sample size W 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 W 1 2 3 4 p 1250 2500 3750 5000 2 W 3 4 5 6 7 8 9 10 p 0278 0556 1111 1667 2500 3333 4444 5556 3 W 6 7 8 9 10 11 12 13 14 15 16 p 0083 0167 0333 0583 0917 1333 1917 2583 3333 4167 5000 4 W 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 W 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 n1 5 p 0030 0061 0121 0212 0364 0545 0818 1152 1576 2061 2636 3242 3939 4636 5364 Pg 22 p 0011 0022 0043 0076 0130 0206 0325 0465 0660 0898 1201 1548 1970 2424 2944 3596 4091 4686 5314 n 2 7 Smaller Sample Size 1 P 0022 0043 0087 0152 0260 0411 0628 0887 1234 1645 2143 2684 3312 3961 4654 5346 W 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 p 0013 0025 0051 0088 0152 0240 0366 0530 0745 1010 1338 1717 2159 2652 3194 3775 4381 5000 6 W 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 p 0006 0012 0023 0041 0070 0111 0175 0256 0367 0507 0688 0903 1171 1474 1830 2226 2669 3141 3654 4178 4726 5274 7 W 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 p 0003 0006 0012 0020 0035 0055 0087 0131 0189 0265 0364 0487 0641 0825 1043 1297 1588 1914 2279 2675 3100 3552 4024 4508 5000
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