FAQ/power/onesamp - CBU statistics Wiki

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Sample size for a one sample t-test

This spreadsheet computes the total sample size for a one sample t-test with given power.

This can also be done using this on-line calculator. Both these programs use the more liberal normal quantiles as opposed to t quantiles for sample size evaluation.

The web calculator here computes the number of subjects for a paired t-test using the formula on page 39 of

Kraemer HC and Thiemann S (1987) How many subjects? Statistical power analysis in research. Sage.:London. (There should be a copy of this book in the CBU library).

The formula is: N for paired t-test = (1.96+0.842)2 / (difference in paired means / sd of the DIFFERENCE in the means)2 for 80% power, two-tailed type I error of 5% e.g. if the raw difference is 0.303 and sd equals 0.266 then we require 7.85 / (0.303/0.266)2 = 6 subjects required.