Sample Size Calculator
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1
DilutionConversion Rate
Minimum Detectable Effect
Confidence level
Statistical Power (1-β)
z(α)z(β)std1std2δ
Sample Size (both variations)
How much more sample size is needed
How much more time is needed
2
0%10%5%95%80%1.960.840.4240.4290.50%113,7710%0%
3
1%10%5.0%95%80%1.960.840.4240.4290.50%116,0732%1%
4
2%10%4.9%95%80%1.960.840.4240.4290.49%118,4464%2%
5
3%10%4.9%95%80%1.960.840.4240.4290.49%120,8936%3%
6
4%10%4.8%95%80%1.960.840.4240.4290.48%123,4178%4%
7
5%10%4.8%95%80%1.960.840.4240.4290.48%126,02111%5%
8
6%10%4.7%95%80%1.960.840.4240.4290.47%128,70813%6%
9
7%10%4.7%95%80%1.960.840.4240.4290.47%131,48216%7%
10
8%10%4.6%95%80%1.960.840.4240.4290.46%134,34718%9%
11
9%10%4.6%95%80%1.960.840.4240.4290.46%137,30721%10%
12
10%10%4.5%95%80%1.960.840.4240.4280.45%140,36623%11%
13
11%10%4.5%95%80%1.960.840.4240.4280.45%143,52926%12%
14
12%10%4.4%95%80%1.960.840.4240.4280.44%146,80029%14%
15
13%10%4.4%95%80%1.960.840.4240.4280.44%150,18432%15%
16
14%10%4.3%95%80%1.960.840.4240.4280.43%153,68735%16%
17
15%10%4.3%95%80%1.960.840.4240.4280.43%157,31438%18%
18
16%10%4.2%95%80%1.960.840.4240.4280.42%161,07242%19%
19
17%10%4.2%95%80%1.960.840.4240.4280.42%164,96645%20%
20
18%10%4.1%95%80%1.960.840.4240.4280.41%169,00349%22%
21
19%10%4.1%95%80%1.960.840.4240.4280.41%173,19052%23%
22
20%10%4.0%95%80%1.960.840.4240.4280.40%177,53556%25%
23
21%10%4.0%95%80%1.960.840.4240.4280.40%182,04660%26%
24
22%10%3.9%95%80%1.960.840.4240.4280.39%186,73264%28%
25
23%10%3.9%95%80%1.960.840.4240.4280.39%191,60168%30%
26
24%10%3.8%95%80%1.960.840.4240.4280.38%196,66473%31%
27
25%10%3.8%95%80%1.960.840.4240.4280.38%201,93077%33%
28
26%10%3.7%95%80%1.960.840.4240.4280.37%207,41182%35%
29
27%10%3.7%95%80%1.960.840.4240.4280.37%213,11887%37%
30
28%10%3.6%95%80%1.960.840.4240.4280.36%219,06593%39%
31
29%10%3.6%95%80%1.960.840.4240.4280.36%225,26498%41%
32
30%10%3.5%95%80%1.960.840.4240.4280.35%231,731104%43%
33
31%10%3.5%95%80%1.960.840.4240.4270.35%238,481110%45%
34
32%10%3.4%95%80%1.960.840.4240.4270.34%245,531116%47%
35
33%10%3.4%95%80%1.960.840.4240.4270.34%252,898122%49%
36
34%10%3.3%95%80%1.960.840.4240.4270.33%260,603129%51%
37
35%10%3.3%95%80%1.960.840.4240.4270.33%268,665136%53%
38
36%10%3.2%95%80%1.960.840.4240.4270.32%277,109144%56%
39
37%10%3.2%95%80%1.960.840.4240.4270.32%285,957151%58%
40
38%10%3.1%95%80%1.960.840.4240.4270.31%295,236160%61%
41
39%10%3.1%95%80%1.960.840.4240.4270.31%304,975168%64%
42
40%10%3.0%95%80%1.960.840.4240.4270.30%315,205177%66%
43
41%10%3.0%95%80%1.960.840.4240.4270.30%325,959187%69%
44
42%10%2.9%95%80%1.960.840.4240.4270.29%337,274196%72%
45
43%10%2.9%95%80%1.960.840.4240.4270.29%349,189207%75%
46
44%10%2.8%95%80%1.960.840.4240.4270.28%361,747218%78%
47
45%10%2.8%95%80%1.960.840.4240.4270.28%374,997230%81%
48
46%10%2.7%95%80%1.960.840.4240.4270.27%388,989242%85%
49
47%10%2.7%95%80%1.960.840.4240.4270.27%403,779255%88%
50
48%10%2.6%95%80%1.960.840.4240.4270.26%419,431269%92%
51
49%10%2.6%95%80%1.960.840.4240.4270.26%436,012283%95%
52
50%10%2.5%95%80%1.960.840.4240.4270.25%453,597299%99%
53
51%10%2.5%95%80%1.960.840.4240.4270.25%472,269315%103%
54
52%10%2.4%95%80%1.960.840.4240.4270.24%492,119333%108%
55
53%10%2.4%95%80%1.960.840.4240.4260.24%513,249351%112%
56
54%10%2.3%95%80%1.960.840.4240.4260.23%535,772371%117%
57
55%10%2.3%95%80%1.960.840.4240.4260.23%559,812392%121%
58
56%10%2.2%95%80%1.960.840.4240.4260.22%585,508415%126%
59
57%10%2.2%95%80%1.960.840.4240.4260.22%613,017439%132%
60
58%10%2.1%95%80%1.960.840.4240.4260.21%642,514465%137%
61
59%10%2.1%95%80%1.960.840.4240.4260.21%674,194493%143%
62
60%10%2.0%95%80%1.960.840.4240.4260.20%708,278523%149%
63
61%10%2.0%95%80%1.960.840.4240.4260.20%745,016555%155%
64
62%10%1.9%95%80%1.960.840.4240.4260.19%784,692590%162%
65
63%10%1.9%95%80%1.960.840.4240.4260.19%827,626627%169%
66
64%10%1.8%95%80%1.960.840.4240.4260.18%874,186668%177%
67
65%10%1.8%95%80%1.960.840.4240.4260.18%924,792713%184%
68
66%10%1.7%95%80%1.960.840.4240.4260.17%979,927761%193%
69
67%10%1.7%95%80%1.960.840.4240.4260.17%1,040,147814%202%
70
68%10%1.6%95%80%1.960.840.4240.4260.16%1,106,099872%211%
71
69%10%1.6%95%80%1.960.840.4240.4260.16%1,178,533936%221%
72
70%10%1.5%95%80%1.960.840.4240.4260.15%1,258,3281006%232%3
73
71%10%1.5%95%80%1.960.840.4240.4260.15%1,346,5161084%243%
74
72%10%1.4%95%80%1.960.840.4240.4260.14%1,444,3181169%255%
75
73%10%1.4%95%80%1.960.840.4240.4260.14%1,553,1831265%269%
76
74%10%1.3%95%80%1.960.840.4240.4250.13%1,674,8451372%283%
77
75%10%1.3%95%80%1.960.840.4240.4250.13%1,811,3921492%298%
78
76%10%1.2%95%80%1.960.840.4240.4250.12%1,965,3561627%315%
79
77%10%1.2%95%80%1.960.840.4240.4250.12%2,139,8301781%333%
80
78%10%1.1%95%80%1.960.840.4240.4250.11%2,338,6261956%352%
81
79%10%1.1%95%80%1.960.840.4240.4250.11%2,566,4852156%374%
82
80%10%1.0%95%80%1.960.840.4240.4250.10%2,829,3622387%397%
83
81%10%1.0%95%80%1.960.840.4240.4250.10%3,134,8192655%424%
84
82%10%0.9%95%80%1.960.840.4240.4250.09%3,492,5752970%453%
85
83%10%0.9%95%80%1.960.840.4240.4250.09%3,915,2913341%485%
86
84%10%0.8%95%80%1.960.840.4240.4250.08%4,419,7033785%522%
87
85%10%0.8%95%80%1.960.840.4240.4250.08%5,028,3064320%563%
88
86%10%0.7%95%80%1.960.840.4240.4250.07%5,771,9064973%610%
89
87%10%0.7%95%80%1.960.840.4240.4250.07%6,693,5995783%665%
90
88%10%0.6%95%80%1.960.840.4240.4250.06%7,855,1606804%729%
91
89%10%0.6%95%80%1.960.840.4240.4250.06%9,347,6678116%804%
92
90%10%0.5%95%80%1.960.840.4240.4250.05%11,309,9249841%894%10
93
91%10%0.5%95%80%1.960.840.4240.4250.05%13,961,94012172%1004%
94
92%10%0.4%95%80%1.960.840.4240.4250.04%17,669,40315431%1142%
95
93%10%0.4%95%80%1.960.840.4240.4250.04%23,076,86720184%1320%
96
94%10%0.3%95%80%1.960.840.4240.4250.03%31,408,08727506%1556%
97
95%10%0.3%95%80%1.960.840.4240.4240.03%45,224,63039651%1888%
98
96%10%0.2%95%80%1.960.840.4240.4240.02%70,658,77362006%2384%
99
97%10%0.2%95%80%1.960.840.4240.4240.02%125,607,219110304%3212%
100
98%10%0.1%95%80%1.960.840.4240.4240.01%282,597,389248292%4868%
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