Pairwise multiple comparisons in the homogeneous variance, unequal sample size case

Journal of the American Statistical Association

Volumn 75, Issue 372, 1980, Pages 789-795

  Dunnett, Charles W ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Duncan method; Multiple comparisons; Multiple range tests; Newman Keuls test; Tukey method; Unequal sample size

Indexed keywords

EID: 84950650672     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1980.10477551     Document Type: Article

References (25)

1. Box, G.E.P., Hunter, W.G., and Hunter, J.S. (1978), Statistics for Experiments, New York: John Wiley & Sons.
2. Brown, L.D. (1979), A Proof That Kramer’s Multiple Comparison Procedure for Differences Between Treatment Means is Level-α for 3, 4 or 5 Treatments, unpublished technical report, Cornell University, Dept. of Mathematics.
3. Cochran, W.G. (1950), “The Comparison of Percentages in Matched Samples,” Biometrika, 37, 256–266.
4. Duncan, D.B. (1951), “A Significance Test for Differences Between Ranked Treatments in an Analysis of Variance,” Virginia Journal of Science, 2, 171–189.
5. Gabriel, K.R. (1978), “A Simple Method of Multiple Comparisons of Means,” Journal of the American Statistical Association, 73, 724–729.
6. Genizi, A., and Hochberg, Y. (1978), “On Improved Extension of the T-Method of Multiple Comparisons for Unbalanced Designs,” Journal of the American Statistical Association, 73, 879–884.
7. Hochberg, Y. (1974), “Some Generalizations of the T-Method in Simultaneous Inference,” Journal of Multivariate Analysis, 4, 224–234.
8. —— (1975), “An Extension of the T-Method to General Unbalanced Models of Fixed Effects,” Journal of the Royal Statistical Society, Ser. B, 37, 426–433.
9. Keselman, H.J., Games, P.A., and Rogan, J.C. (1979), “An Addendum to a Comparison of the Modified-Tukey and Scheffé Methods of Multiple Comparisons for Pairwise Contrasts,” Journal of the American Statistical Association, 74, 626–627.
10. Keselman, H.J., and Rogan, J.C. (1979), “A Comparison of the Modified-Tukey and Scheffé Methods of Multiple Comparisons for Pairwise Contrasts,” Journal of the American Statistical Association, 73, 47–52.
11. Keuls, M. (1952), “The Use of the “Studentized Range” in Connection With an Analysis of Variance,” Euphytica, 1, 112–122.
12. Kramer, C.Y. (1956), “Extension of Multiple Range Tests to Group Means With Unequal Numbers of Replications,” Biometrics, 12, 307–310.
13. Kurtz, T.E. (1956), “An Extension of a Multiple Comparisons Procedure,” unpublished PhD thesis, Princeton University.
14. McNemar, Q. (1947), “Note on the Sampling Error of the Difference Between Correlated Proportions or Percentages,” Psychometrika, 12, 153–157.
15. Miller, R.G., Jr. (1966), Simultaneous Statistical Inference, New York: McGraw-Hill Book Co.
16. —— (1977), “Developments in Multiple Comparisons, 1966–1976,” Journal of the American Statistical Association, 72, 779–788.
17. Newman, D. (1939), “The Distribution of the Range in Samples From a Normal Population, Expressed in Terms of an Independent Estimate of Standard Deviation,” Biometrika, 31, 20–30.
18. Ramseyer, G.C., and Tcheng, T.K. (1973), “The Robustness of the Studentized Range Statistic to Violations of the Normality and Homogeneity of Variance Assumptions,” American Educational Research Journal, 10, 235–240.
19. Šidák, Z. (1967), “Rectangular Confidence Regions for the Means of Multivariate Normal Distributions, ” Journal of the American Statistical Association, 62, 626–633.
20. Spjøtvoll, E., and Stoline, M.R. (1973), “An Extension of the T-Method of Multiple Comparison to Include the Cases With Unequal Sample Sizes,” Journal of the American Statistical Association, 68, 975–978.
21. Steel, R.G.D., and Torrie, J.H. (1960), Principles and Procedures of Statistics, New York: McGraw-Hill Book Co.
22. Stoline, M.R. (1978), “Tables of the Studentized Augmented Range and Applications to Problems of Multiple Comparisons,” Journal of the American Statistical Association, 73, 656–660.
23. Stoline, M.R., and Ury, H.K. (1979), “Tables of the Studentized Maximum Modulus Distribution and an Application to Multiple Comparison Among Means,” Technometrics, 21, 87–93.
24. Tukey, J.W. (1953), The Problem of Multiple Comparisons, unpublished report, Princeton University.
25. Winer, B.J. (1962), Statistical Principles in Experimental Design, New York: McGraw-Hill Book Co.