Calculating Sample Sizes


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Frequently Asked Questions

Where can I review the statistical theory behind these sample size calculations?

Who may use the results of these programs?

Whom can I contact if the sample size calculator will not work?

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Glossary of Terms

Term or Phrase Definition
Alpha The user-specified upper bound on the probability of making a Type I error, i.e. P(reject H0 | H0 is true)
ASN Average Sample Number. (e1+e2)/2
Beta The user-specified upper bound on the probability of making a Type II error, i.e. P(fail to reject H0 | H0 is false)
e1 The expected total sample size, given H0 is true
e2 The expected total sample size, given H1 is true
H0 The null hypothesis, i.e. H0: p=p0
H1 The research hypothesis, i.e. H1: p>p0
n(i) The sample size necessary at the ith (i = 1,2,...) stage of study
p0 The value of p under H0
Power P(conclude H1 | H1 is true)
S(i) The number of successes after the ith (i = 1,2,...) stage of study is completed
Size The actual probability of committing a Type I error with the given design

* Please note that an understanding of additional terms may be necessary in order to comprehend the statistical analysis done on this site.

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Study Descriptions


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