Power and Sample Size Estimation for the Clustered Wilcoxon Test

Biometrics

Volumn 67, Issue 2, 2011, Pages 646-653

  Rosner, Bernard ^a   Glynn, Robert J ^a  

^a CHANNING LABORATORY   (United States)

Author keywords

Clustered data; Ophthalmology; Rank sum test

Indexed keywords

BIOMETRICS; SAMPLING;

CLUSTERED DATUM; NON-NORMAL DATA; POWER; POWER AND SAMPLE SIZE; RANK SUM TESTS; SAMPLE SIZE ESTIMATION; SAMPLING UNITS; UNIT OF ANALYSIS; WILCOXON RANK SUM TEST; WILCOXON TEST;

OPHTHALMOLOGY;

BIOMETRY; CLUSTER ANALYSIS; DATA SET; ESTIMATION METHOD; NUMERICAL MODEL; POWER; SAMPLING;

EID: 79959352365     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2010.01488.x     Document Type: Article

References (17)

1. Berson, E. L., Rosner, B., Sandberg, M. A., Hayes, K. C., Nicholson, B. W., Weigel-DiFranco, C., and Willett, W. (1993). A randomized trial of vitamin A and vitamin E supplementation for retinitis pigmentosa. Archives of Ophthalmology 111, 761-772.
2. Berson, E. L., Rosner, B., Sandberg, M. A., Weigel-DiFranco, C., Moser, A., Brockhurst, R. J., Hayes, K. C., Johnson, C. A., Anderson, E. J., Gaudio, A. R., Willett, W. C., and Schaefer, E. J. (2004a). Clinical trial of docosahexaenoic acid in patients with retinitis pigmentosa receiving vitamin A treatment. Archives of Ophthalmology 122, 1297-1305.
3. Berson, E. L., Rosner, B., Sandberg, M. A., Weigel-DiFranco, C., Moser, A., Brockhurst, R. J., Hayes, K. C., Johnson, C. A., Anderson, E. J., Gaudio, A. R., Willett, W. C., and Schaefer, E. J. (2004b). Further evaluation of docosahexaenoic acid in patients with retinitis pigmentosa receiving vitamin A treatment. Archives of Ophthalmology 122, 1306-1314.
4. Browne, R. H. (2010). Thet-test p value and its relationship to the effect size andP(X>Y). The American Statistician 64, 30-33.
5. Datta, S. and Satten, G. A. (2005). Rank sum tests for clustered data. Journal of the American Statistical Association 100, 908-915.
6. Donner, A. and Klar, N. (2000). Design and Analysis of Cluster Randomization Trials in Health Research. London Arnold.
7. Hollander, M. and Wolfe, D. (1999). Nonparametric Statistical Methods, 2nd edition. New York John Wiley & Sons, Inc.
8. Larocque, D. (2005). The Wilcoxon signed-rank test for cluster correlated data. In Statistical Modeling and Analysis for Complex Data Problems, P. Duchesne and B. Rèmillard (eds.), 309-323. New York Springer.
9. Lawless, J. (2003). Statistical Models and Methods for Lifetime Data, 2nd edition. New York John Wiley & Sons, Inc.
10. Lehmann, E. (1998). Nonparametrics: Statistical Methods Based on Ranks(rev. edition). New York John Wiley & Sons, Inc.
11. Rosner, B. and Glynn, R. J. (2009). Power and sample size estimation for the Wilcoxon rank sum test with application to comparison ofCstatistics from alternative prediction models. Biometrics 65, 188-197.
12. Rosner, B., Glynn, R. J., and Lee, M.-L. T. (2003). Incorporation of clustering effects for the Wilcoxon rank sum test: A large sample approach. Biometrics 59, 1089-1098.
13. Rosner, B., Glynn, R. J., and Lee, M.-L. T. (2006). Extension of the rank sum test for clustered data: Two-group comparisons with group membership defined at the subunit level. Biometrics 62, 1251-1259.
14. SAS Institute. (2006). SAS Version 9.1.3. Cary, North Carolina SAS Institute.
15. Sorbinil Retinopathy Trial Research Group (1990). A randomized trial of Sorbinil, an aldose reductase inhibitor, in diabetic retinopathy. Archives of Ophthalmology 108, 1234-1244.
16. Stata Corp (2009). Stata Statistical Software: Release 11. College Station, Texas Stata.
17. Wolfe, D. A. and Hogg, R. V. (1971). On constructing statistics and reported data. American Statistician 25, 27-30.