Stepwise Multiple Comparison Procedures

作者: Roy E. Welsch

DOI: 10.1080/01621459.1977.10480614

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摘要: Abstract This article proposes two new stepwise multiple comparison significance tests which control the experimentwise type I error rate and compares these with some existing procedures. The (step-up) begin by examining gaps between adjacent ordered sample means, then three stretches, etc., until range is reached. reverses a procedure (step-down) proposed Ryan (1960). Tables for were constructed using improved Monte Carlo techniques. A simulation study showed that one of step-up modification provided significantly greater power than commonly used Tukey honestly significant difference test.

参考文章(16)
G. E. P. Box, Mervin E. Muller, A Note on the Generation of Random Normal Deviates Annals of Mathematical Statistics. ,vol. 29, pp. 610- 611 ,(1958) , 10.1214/AOMS/1177706645
Israel Einot, K. R. Gabriel, A Study of the Powers of Several Methods of Multiple Comparisons Journal of the American Statistical Association. ,vol. 70, pp. 574- 583 ,(1975) , 10.1080/01621459.1975.10482474
T. E. Kurtz, R. F. Link, J. W. Tukey, D. L. Wallace, Short-Cut Multiple Comparisons for Balanced Single and Double Classifications: Part 1, Results Technometrics. ,vol. 7, pp. 95- 161 ,(1965) , 10.1080/00401706.1965.10490245
Thomas H. Ryan, Significance tests for multiple comparison of proportions, variances, and other statistics. Psychological Bulletin. ,vol. 57, pp. 318- 328 ,(1960) , 10.1037/H0044320
Ray A. Waller, David B. Duncan, A Bayes Rule for the Symmetric Multiple Comparisons Problem Journal of the American Statistical Association. ,vol. 64, pp. 1484- 1503 ,(1969) , 10.1080/01621459.1969.10501073
S. G. Carmer, M. R. Swanson, An Evaluation of Ten Pairwise Multiple Comparison Procedures by Monte Carlo Methods Journal of the American Statistical Association. ,vol. 68, pp. 66- 74 ,(1973) , 10.1080/01621459.1973.10481335