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Approximation Formulas for Error Risk and Sample Size in ABX Testing

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When sampling from a dichotomous population with an assumed proportion p of events having a defined characteristic, the binomial distribution is the appropriate statistical model for accurately determining: type 1 error risk (symbol); type 2 error risk (symbol); sample size n based on specified (symbol) and (symbol) and assumptions about p; and critical c (minimum number of events to satisfy a specified [symbol]). Table 3 in [1] pre;sents such data for a limited number of sample sizes and p values. To extend the scope of Table 3 to most n and p, we present approximation formulas of substantial accuracy, based on the normal distribution as an approximation of the binomial.

JAES Volume 36 Issue 11 pp. 879-883; November 1988
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