![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) Sample Size Determination for Logistic Regression: A Simulation Study
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif)
Organization: | University of Technology Sydney |
Department: | School of Mathematical Sciences |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif)
Communications in Statistics—Simulation and Computation |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) Likelihood ratio test; Mathematica; Power; Score test; Wald test
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) This article considers the different methods for determining sample sizes for Wald, likelihood ratio, and score tests for logistic regression. We review some recent methods, report the results of a simulation study comparing each of the methods for each of the three types of test, and provide Mathematica code for calculating sample size. We consider a variety of covariate distributions, and find that a calculation method based on a first order expansion of the likelihood ratio test statistic performs consistently well in achieving a target level of power for each of the three types of test.
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |
![](/images/database/grey-line.gif) |
![](/images/database/grey-line.gif) |
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif)
![](/common/images/spacer.gif) |
![](/common/images/spacer.gif) |