Sample sizes for selected values of R-squared and different numbers of groups in a one-way anova
The table below gives the total sample size required for 90% and 80% power for upto 8 groups in a one-way anova. In each case the type I error is taken as 5%. The rows in bold correspond to Cohen's rules of thumb for small, medium and large effect sizes.
|
90% power |
80% power |
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R-squared |
K=3 |
K=4 |
K=5 |
K=6 |
K=7 |
K=8 |
K=3 |
K=4 |
K=5 |
K=6 |
K=7 |
K=8 |
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0.010 |
1269 |
1424 |
1550 |
1656 |
1750 |
1840 |
969 |
1096 |
1200 |
1290 |
1372 |
1448 |
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0.059 |
207 |
232 |
255 |
270 |
287 |
304 |
159 |
180 |
200 |
216 |
231 |
240 |
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0.10 |
117 |
132 |
144 |
154 |
163 |
172 |
90 |
103 |
113 |
122 |
130 |
137 |
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0.138 |
84 |
96 |
105 |
114 |
119 |
128 |
66 |
76 |
80 |
90 |
98 |
104 |
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0.15 |
76 |
85 |
93 |
100 |
106 |
111 |
58 |
66 |
73 |
79 |
84 |
89 |
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0.20 |
54 |
61 |
67 |
72 |
77 |
81 |
42 |
49 |
54 |
58 |
62 |
65 |
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0.25 |
42 |
47 |
52 |
56 |
59 |
63 |
33 |
38 |
42 |
45 |
48 |
51 |
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0.30 |
33 |
38 |
42 |
45 |
48 |
51 |
27 |
30 |
34 |
37 |
39 |
42 |
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0.35 |
28 |
31 |
34 |
37 |
40 |
42 |
22 |
25 |
28 |
31 |
33 |
35 |
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0.40 |
23 |
27 |
29 |
32 |
34 |
36 |
19 |
22 |
24 |
26 |
28 |
30 |
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0.45 |
20 |
23 |
25 |
27 |
29 |
31 |
16 |
19 |
21 |
23 |
25 |
27 |
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0.50 |
17 |
20 |
22 |
24 |
26 |
27 |
14 |
16 |
18 |
20 |
22 |
23 |
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0.55 |
15 |
17 |
19 |
21 |
23 |
24 |
12 |
15 |
16 |
18 |
20 |
21 |
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0.60 |
13 |
15 |
17 |
19 |
20 |
22 |
11 |
13 |
15 |
16 |
18 |
19 |