|
|
CRITICAL VALUES FOR THE MANN-WHITNEY U-TEST
This page is available as a pdf downloadLevel of significance: 5% (P = 0.05)
| |
|
Size of the largest sample (n2) |
| |
|
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
Size of the smallest sample (n1) |
3 |
0 |
1 |
1 |
2 |
2 |
3 |
3 |
4 |
4 |
5 |
5 |
6 |
6 |
7 |
7 |
8 |
8 |
9 |
9 |
10 |
10 |
11 |
11 |
12 |
13 |
13 |
4 |
1 |
2 |
3 |
4 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
5 |
2 |
3 |
5 |
6 |
7 |
8 |
9 |
11 |
12 |
13 |
14 |
15 |
17 |
18 |
19 |
20 |
22 |
23 |
24 |
25 |
27 |
28 |
29 |
30 |
32 |
33 |
6 |
|
5 |
6 |
8 |
10 |
11 |
13 |
14 |
16 |
17 |
19 |
21 |
22 |
24 |
25 |
27 |
29 |
30 |
32 |
33 |
35 |
37 |
38 |
40 |
42 |
43 |
7 |
|
|
8 |
10 |
12 |
14 |
16 |
18 |
20 |
22 |
24 |
26 |
28 |
30 |
32 |
34 |
36 |
38 |
40 |
42 |
44 |
46 |
48 |
50 |
52 |
54 |
8 |
|
|
|
13 |
15 |
17 |
19 |
22 |
24 |
26 |
29 |
31 |
34 |
36 |
38 |
41 |
43 |
45 |
48 |
50 |
53 |
55 |
57 |
60 |
62 |
65 |
9 |
|
|
|
|
17 |
20 |
23 |
26 |
28 |
31 |
34 |
37 |
39 |
42 |
45 |
48 |
50 |
53 |
56 |
59 |
62 |
64 |
67 |
70 |
73 |
76 |
10 |
|
|
|
|
|
23 |
26 |
29 |
33 |
36 |
39 |
42 |
45 |
48 |
52 |
55 |
58 |
61 |
64 |
67 |
71 |
74 |
77 |
80 |
83 |
87 |
11 |
|
|
|
|
|
|
30 |
33 |
37 |
40 |
44 |
47 |
51 |
55 |
58 |
62 |
65 |
69 |
73 |
76 |
80 |
83 |
87 |
90 |
94 |
98 |
12 |
|
|
|
|
|
|
|
37 |
41 |
45 |
49 |
53 |
57 |
61 |
65 |
69 |
73 |
77 |
81 |
85 |
89 |
93 |
97 |
101 |
105 |
109 |
13 |
|
|
|
|
|
|
|
|
45 |
50 |
54 |
59 |
63 |
67 |
72 |
76 |
80 |
85 |
89 |
94 |
98 |
102 |
107 |
111 |
116 |
120 |
14 |
|
|
|
|
|
|
|
|
|
55 |
59 |
64 |
67 |
74 |
78 |
83 |
88 |
93 |
98 |
102 |
107 |
112 |
118 |
122 |
127 |
131 |
15 |
|
|
|
|
|
|
|
|
|
|
64 |
70 |
75 |
80 |
85 |
90 |
96 |
101 |
106 |
111 |
117 |
122 |
125 |
132 |
138 |
143 |
16 |
|
|
|
|
|
|
|
|
|
|
|
75 |
81 |
86 |
92 |
98 |
103 |
109 |
115 |
120 |
126 |
132 |
138 |
143 |
149 |
154 |
17 |
|
|
|
|
|
|
|
|
|
|
|
|
87 |
93 |
99 |
105 |
111 |
117 |
123 |
129 |
135 |
141 |
147 |
154 |
160 |
166 |
18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
99 |
106 |
112 |
119 |
125 |
132 |
138 |
145 |
151 |
158 |
164 |
171 |
177 |
19 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
113 |
119 |
126 |
133 |
140 |
147 |
154 |
161 |
168 |
175 |
182 |
189 |
20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
127 |
134 |
141 |
149 |
156 |
163 |
171 |
178 |
186 |
193 |
200 |
21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
142 |
150 |
157 |
165 |
173 |
181 |
188 |
196 |
204 |
212 |
22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
158 |
166 |
174 |
182 |
191 |
199 |
207 |
215 |
223 |
23 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
175 |
183 |
192 |
200 |
209 |
218 |
226 |
235 |
24 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
192 |
201 |
210 |
219 |
228 |
238 |
247 |
25 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
211 |
220 |
230 |
239 |
249 |
258 |
26 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
230 |
240 |
250 |
260 |
270 |
27 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
250 |
261 |
271 |
282 |
28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
272 |
282 |
293 |
29 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
294 |
305 |
30 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
317 |
|
© Paul Billiet 2009 |