An Overview of Variance Inflation Factors for Sample-Size Calculation

For power and sample-size calculations, most practicing researchers rely on power and sample-size software programs to design their studies. There are many factors that affect the statistical power that, in many situations, go beyond the coverage of commercial software programs. Factors commonly known as design effects influence statistical power by inflating the variance of the test statistics. The authors quantify how these factors affect the variances so that researchers can adjust the statistical power or sample size accordingly. The authors review design effects for factorial design, crossover design, cluster randomization, unequal sample-size design, multiarm design, logistic regression, Cox regression, and the linear mixed model, as well as missing data in various designs. To design a study, researchers can apply these design effects, also known as variance inflation factors to adjust the power or sample size calculated from a two-group parallel design using standard formulas and software.

[1]  J. Fleiss The design and analysis of clinical experiments , 1987 .

[2]  D. Schoenfeld,et al.  Sample-size formula for the proportional-hazards regression model. , 1983, Biometrics.

[3]  John M. Lachin Sample Size Determination , 2005 .

[4]  S. Sonnad Design and Analysis of Group-Randomized Trials , 1999 .

[5]  P W Lavori,et al.  Sample-size calculations for the Cox proportional hazards regression model with nonbinary covariates. , 2000, Controlled clinical trials.

[6]  F. Hsieh Comparing sample size formulae for trials with unbalanced allocation using the logrank test. , 1992, Statistics in medicine.

[7]  D. Rubin,et al.  Statistical Analysis with Missing Data. , 1989 .

[8]  N. Jewell,et al.  Some surprising results about covariate adjustment in logistic regression models , 1991 .

[9]  E V Slud Analysis of factorial survival experiments. , 1994, Biometrics.

[10]  P. Lavori,et al.  A controlled trial of inpatient and outpatient geriatric evaluation and management. , 2002, The New England journal of medicine.

[11]  J. Lachin Sample size determinants for r X c comparative trials. , 1977, Biometrics.

[12]  F. Hsieh A simple method of sample size calculation for unequal-sample-size designs that use the logrank or t-test. , 1987, Statistics in medicine.

[13]  P W Lavori,et al.  Utility of psychophysiological measurement in the diagnosis of posttraumatic stress disorder: results from a Department of Veterans Affairs Cooperative Study. , 1998, Journal of consulting and clinical psychology.

[14]  G A Studebaker,et al.  Efficacy of 3 commonly used hearing aid circuits: A crossover trial. NIDCD/VA Hearing Aid Clinical Trial Group. , 2000, JAMA.

[15]  D. Bloch,et al.  A simple method of sample size calculation for linear and logistic regression. , 1998, Statistics in medicine.

[16]  S. Anderson,et al.  Sample size determination for comparing more than two survival distributions. , 1995, Statistics in Medicine.

[17]  Y. J. Lee Quick and simple approximation of sample sizes for comparing two independent binomial distributions: different-sample-size case. , 1984, Biometrics.

[18]  David M. Murray,et al.  Design and Analysis of Group- Randomized Trials , 1998 .

[19]  R W Makuch,et al.  Sample size requirements for comparing time-to-failure among k treatment groups. , 1982, Journal of chronic diseases.

[20]  P. Schnurr,et al.  Design of Department of Veterans Affairs Cooperative Study no. 420: group treatment of posttraumatic stress disorder. , 2001, Controlled clinical trials.

[21]  F. Hsieh,et al.  Sample size tables for logistic regression. , 1989, Statistics in medicine.

[22]  J. Chassan A note on relative efficiency in clinical trials. , 1970, The Journal of clinical pharmacology and the journal of new drugs.

[23]  F. Hsieh,et al.  Sample size formulae for intervention studies with the cluster as unit of randomization. , 1988, Statistics in medicine.

[24]  M Schumacher,et al.  Sample size considerations for the evaluation of prognostic factors in survival analysis. , 2000, Statistics in medicine.

[25]  S. Pocock,et al.  Clinical Trials: A Practical Approach , 1984 .

[26]  P. Lavori,et al.  Long-term treatment effects of vitamin E for tardive dyskinesia , 1998, Biological Psychiatry.

[27]  J. Lachin Introduction to sample size determination and power analysis for clinical trials. , 1981, Controlled clinical trials.

[28]  G. W. Snedecor Statistical Methods , 1964 .

[29]  B. W. Brown The crossover experiment for clinical trials. , 1980, Biometrics.