Three algorithms and SAS macros for estimating power and sample size for logistic models with one or more independent variables of interest in the presence of covariates

Source Code for Biology and Medicine

Zoran Bursac¹  David Keith Williams² 

[1] Division of Biostatistics and Center for Population Studies, Department of Preventive Medicine, College of Medicine, University of Tennessee Health Science Center, Memphis, TN, USA;Department of Biostatistics, University of Arkansas for Medical Sciences, Little Rock, AR, USA

关键词: Sample size;    Power;    Logistic regression;   

Others  :  1139283
DOI  :  10.1186/1751-0473-9-24

 received in 2014-06-19, accepted in 2014-10-27,  发布年份 2014

【 摘 要 】

Background

Commonly when designing studies, researchers propose to measure several independent variables in a regression model, a subset of which are identified as the main variables of interest while the rest are retained in a model as covariates or confounders. Power for linear regression in this setting can be calculated using SAS PROC POWER. There exists a void in estimating power for the logistic regression models in the same setting.

Methods

Currently, an approach that calculates power for only one variable of interest in the presence of other covariates for logistic regression is in common use and works well for this special case. In this paper we propose three related algorithms along with corresponding SAS macros that extend power estimation for one or more primary variables of interest in the presence of some confounders.

Results

The three proposed empirical algorithms employ likelihood ratio test to provide a user with either a power estimate for a given sample size, a quick sample size estimate for a given power, and an approximate power curve for a range of sample sizes. A user can specify odds ratios for a combination of binary, uniform and standard normal independent variables of interest, and or remaining covariates/confounders in the model, along with a correlation between variables.

Conclusions

These user friendly algorithms and macro tools are a promising solution that can fill the void for estimation of power for logistic regression when multiple independent variables are of interest, in the presence of additional covariates in the model.

【 授权许可】

   
2014 Williams and Bursac; licensee BioMed Central Ltd.

【 图 表 】

Figure 1.

【 参考文献 】

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