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WCU ECO 252 - Simplified Wilcoxon-Mann-Whitney Rank Sum Test for Two Independent Samples

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252table5 3/2/00 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.Larger Sample size 22n Smaller Sample Size 1n 1 2 W p W p 1 .3333 3 .1667 4 .3333 Larger Sample size 32n Smaller Sample Size 1n 1 2 3 W p W p W p 1 .2500 3 .1000 6 .0500 2 .5000 4 .2000 7 .1000 5 .4000 8 .2000 6 .6000 9 .3500 10 .5000 Larger Sample size 42n Smaller Sample Size 1n 1 2 3 4 W p W p W p W p 1 .2000 3 .6667 6 .0286 10 .0143 2 .4000 4 .1333 7 .0571 11 .0286 3 .6000 5 .2667 8 .1143 12 .0571 6 .4000 9 .2000 13 .1000 7 .6000 10 .3143 14 .1714 11 .4286 15 .242912 .5714 16 .342917 .442918 .5571 Larger Sample size 52n Smaller Sample Size 1n 1 2 3 4 5 W p W p W p W p W p 1 .1667 3 .0476 6 .0179 10 .0079 15 .0040 2 .3333 4 .0952 7 .0357 11 .0159 16 .0079 3 .5000 5 .1905 8 .0714 12 .0317 17 .0159 6 .2857 9 .1250 13 .0556 18 .0278 7 .4286 10 .1964 14 .0952 19 .0476 8 .5714 11 .2857 15 .1429 20 .0754 12 .3929 16 .2063 21 .111113 .5000 17 .2778 22 .154818 .3651 23 .210319 .4524 24 .273820 .5476 25 .345226 .420627 .50001252table5 TABLE 5Simplified Wilcoxon-Mann-Whitney Rank Sum Test for Two Independent Samples(ctd) Larger Sample size 62n Smaller Sample Size 1n 1 2 3 4 5 6 W p W p W p W p W P W p 1 .1429 3 .0357 6 .0119 10 .0048 15 .0022 21 .0011 2 .2857 4 .0714 7 .0238 11 .0095 16 .0043 22 .0022 3 .4286 5 .1429 8 .0476 12 .0190 17 .0087 23 .0043 4 .5714 6 .2143 9 .0833 13 .0333 18 .0152 24 .0076 7 .3214 10 .1310 14 .0571 19 .0260 25 .0130 8 .4286 11 .1905 15 .0857 20 .0411 26 .0206 9 .5714 12 .2738 16 .1286 21 .0628 27 .032513 .3571 17 .1762 22 .0887 28 .046514 .4524 18 .2381 23 .1234 29 .066015 .5476 19 .3048 24 .1645 30 .089820 .3810 25 .2143 31 .120121 .4571 26 .2684 32 .154822 .5429 27 .3312 33 .197028 .3961 34 .242429 .4654 35 .294430 .5346 36 .359637 .409138 .468639 .5314 Larger Sample size 72n Smaller Sample Size 1n 1 2 3 4 5 6 7 W p W p W p W p W p W p W p 1 .1250 3 .0278 6 .0083 10 .0030 15 .0013 21 .0006 28 .0003 2 .2500 4 .0556 7 .0167 11 .0061 16 .0025 22 .0012 29 .0006 3 .3750 5 .1111 8 .0333 12 .0121 17 .0051 23 .0023 30 .0012 4 .5000 6 .1667 9 .0583 13 .0212 18 .0088 24 .0041 31 .0020 7 .2500 10 .0917 14 .0364 19 .0152 25 .0070 32 .0035 8 .3333 11 .1333 15 .0545 20 .0240 26 .0111 33 .0055 9 .4444 12 .1917 16 .0818 21 .0366 27 .0175 34 .008710 .5556 13 .2583 17 .1152 22 .0530 28 .0256 35 .013114 .3333 18 .1576 23 .0745 29 .0367 36 .018915 .4167 19 .2061 24 .1010 30 .0507 37 .026516 .5000 20 .2636 25 .1338 31 .0688 38 .036421 .3242 26 .1717 32 .0903 39 .048722 .3939 27 .2159 33 .1171 40 .064123 .4636 28 .2652 34 .1474 41 .082524 .5364 29 .3194 35 .1830 42 .104330 .3775 36 .2226 43 .129731 .4381 37 .2669 44 .158832 .5000 38 .3141 45 .191439 .3654 46 .227940 .4178 47 .267541 .4726 48 .310042 .5274 49 .355250 .402451 .450852


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