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TABLE A VI
Lower-and upper-tail probabilities for U, the Wilcoxon-Mann-Whitney rank-sum statistic
Entries are P (U < c1) and P (U > cu). U is the rank-sum for the smaller group
m = 3

c1 n = 3 cu n = 4 cu n = 5 cu n = 6 cu n = 7 cu n = 8 cu n = 9 cu n = 10 cu
6 0.0500 15 0.0286 18 0.0179 21 0.0119 24 0.0083 27 0.0061 30 0.0045 33 0.0035 36
7 0.1000 14 0.0571 17 0.0357 20 0.0238 23 0.0167 26 0.0121 29 0.0091 32 0.0070 35
8 0.2000 13 0.1143 16 0.0714 19 0.0476 22 0.0333 25 0.0242 28 0.0182 31 0.0140 34
9 0.3500 12 0.2000 15 0.1250 18 0.0833 21 0.0583 24 0.0424 27 0.0318 30 0.0245 33
10 0.5000 11 0.3143 14 0.1964 17 0.1310 20 0.0917 23 0.0667 26 0.0500 29 0.0385 32
11 0.6500 10 0.4286 13 0.2857 16 0.1905 19 0.1333 22 0.0970 25 0.0727 28 0.0559 31
12 0.8000 9 0.5714 12 0.3929 15 0.2738 18 0.1917 21 0.1394 24 0.1045 27 0.0804 30
13 0.9000 8 0.6857 11 0.5000 14 0.3571 17 0.2583 20 0.1879 23 0.1409 26 0.1084 29
14 0.9500 7 0.8000 10 0.6071 13 0.4524 16 0.3333 19 0.2485 22 0.1864 25 0.1434 28
15 1.0000 6 0.8857 9 0.7143 12 0.5476 15 0.4167 18 0.3152 21 0.2409 24 0.1853 27
16 - - 0.9429 8 0.8036 11 0.6429 14 0.5000 17 0.3879 20 0.3000 23 0.2343 26
17 - - 0.9714 7 0.8750 10 0.7262 13 0.5833 16 0.4606 19 0.3636 22 0.2867 25
18 - - 1.0000 6 0.9286 9 0.8095 12 0.6667 15 0.5394 18 0.4318 21 0.3462 24
19 - - - - 0.9643 8 0.8690 11 0.7417 14 0.6121 17 0.5000 20 0.4056 23
20 - - - - 0.9821 7 0.9167 10 0.8083 13 0.6848 16 0.8682 19 0.4685 22
21 - - - - 1.0000 6 0.9524 9 0.8667 12 0.7515 15 0.6364 18 0.5315 21
22 - - - - - - 0.9762 8 0.9083 11 0.8121 14 0.7000 17 0.5944 20
23 - - - - - - 0.9881 7 0.9417 10 0.8606 13 0.7591 16 0.6538 19
24 - - - - - - 1.0000 6 0.9667 9 0.9030 12 0.8136 15 0.7133 18

TABLE A VI - continued
Lower-and upper-tail probabilities for U, the Wilcoxon-Mann-Whitney rank-sum statistic
Entries are P (U < c1) and P (U > cu). U is the rank-sum for the smaller group
m = 4

c1 n = 4 cu n = 5 cu n = 6 cu n = 7 cu n = 8 cu n = 9 cu n = 10 cu
10 0.0143 26 0.0079 30 0.0048 34 0.0030 38 0.0020 42 0.0014 46 0.0010 50
11 0.0286 25 0.0159 29 0.0095 33 0.0061 37 0.0040 41 0.0028 45 0.0020 49
12 0.0571 24 0.0317 28 0.0190 32 0.0121 36 0.0081 40 0.0056 44 0.0040 48
13 0.1000 23 0.0556 27 0.0333 31 0.0212 35 0.0141 39 0.0098 43 0.0070 47
14 0.1714 22 0.0952 26 0.0571 30 0.0364 34 0.0242 38 0.0168 42 0.0120 46
15 0.2429 21 0.1429 25 0.0857 29 0.0545 33 0.0364 37 0.0252 41 0.0180 45
16 0.3429 20 0.2063 24 0.1286 28 0.0818 32 0.0545 36 0.0378 40 0.0270 44
17 0.4429 19 0.2778 23 0.1762 27 0.1152 31 0.0768 35 0.0531 39 0.0380 43
18 0.5571 18 0.3651 22 0.2381 26 0.1576 30 0.1071 34 0.0741 38 0.0529 42
19 0.6571 17 0.4524 21 0.3048 25 0.2061 29 0.1414 33 0.0993 37 0.0709 41
20 0.7571 16 0.5476 20 0.3810 24 0.2636 28 0.1838 32 0.1301 36 0.0939 40
21 0.8286 15 0.6349 19 0.4571 23 0.3242 27 0.2303 31 0.1650 35 0.1199 39
22 0.9000 14 0.7222 18 0.5429 22 0.3939 26 0.2848 30 0.2070 34 0.1518 38
23 0.9429 13 0.7937 17 0.6190 21 0.4636 25 0.3414 29 0.2517 33 0.1868 37
24 0.9714 12 0.8571 16 0.6952 20 0.5364 24 0.4040 28 0.3021 32 0.2268 36
25 0.9857 11 0.9048 15 0.7619 19 0.6061 23 0.4667 27 0.3552 31 0.2697 35

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