Abstract:
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The sample size determination for multiple logistic regressions requires additional information, the coefficient of determination of a covariate of interest with other covariates, which is often unavailable in practice, even though the sample size for simple logistic regression can be readily calculated using existing methods. The response variable of logistic regression follows a logit-normal distribution that can be generated from a logistic transformation of a normal distribution. Using a normal transformation of outcome measures, we propose new methods of the sample size calculation for simple and multiple logistic regressions. Our simulation studies show several advantages of the developed approach over the currently available methods: much smaller required sample size, no need of the coefficient of determination for multiple logistic regression, and available interim or group-sequential designs.
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