Birinci Tür Hata’nın Kontrolü ve Adımsal (Stepwise) Çoklu Karşılaştırma Testleri

Nurhan Doğan; İsmet Doğan

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Year 2014, Volume: 1 Issue: 1, 28 - 33, 22.02.2014

Abstract

Analysis of variance determines whether the difference between averages when more than two averages compare, butit cannot determine origin of this difference. Detailed information about the difference between means is derived byusing multiple comparison tests. Many different tests have been suggested for this purpose. The present article reviewsof stepwise multiple comparison procedures. The review was motivated by examples of multiple comparison practices.Making a decision about which test to use is not easy task. The aim of this study is to introduce seven different stepwisemultiple comparison tests which are less known by the researchers.

Keywords

Analysis of variance; type I error rate; stepwise multiple comparison procedure.

References

Rao CV, Swarupchand U. Multiple Comparison Procedures-A Note and a Bibliography. Journal of Statistics. 2009; 16(1):66-109.
Games PA. 1971. Multiple Comparisons of Means. American Educational Research Journal. 1971; 8(3):531-65.
Hancock GR, Klockars AJ. The Quest For α: Developments in Multiple Comparison Procedures in the Quarter Century Since Games (1971). Review of Educational Research. 1996; 66(3):269-306.
Cribbie RA, Keselman HJ. Pairwise Multiple Comparisons: A Model Comparison Approach versus Stepwise Procedures. British Journal of Mathematical and Statistical Psychology. 2003; 56(1):167-82.
Tukey JW. The Philosophy of Multiple Comparisons. Statistical Science. 1991; 6(1):100-16.
Ludbrook J. Multiple Comparison Procedures Updated. Clinical and Experimental Pharmacology and Physiology. 1998; 25(12):1032-7.
Olejnik S, Li J, Supattathum S, Huberty CJ. Multiple Testing and Statistical Power with Modified Bonferroni Procedures. Journal of Educational and Behavioral Statistics. 1997; 22(4):389-406.
Holm S. A Simple Sequentially Rejective Multiple Test Procedure. Scandinavian Journal of Statistics. 1979; 6(2):65-70.
Shaffer JP. Modified Sequentially Rejective Multiple Test Procedures. Journal of The American Statistical Association. 1986; 81(395):826-31.
Holland BS, Copenhaver MD. An Improved Sequentially Rejective Bonferroni Test Procedure. Biometrics. 1987; 43(2):417-23.
Hochberg Y. A Sharper Bonferroni Procedure for Multiple Tests of Significance. Biometrika. 1988; 75(4):800-2.
Hommel G. A Stagewise Rejective Multiple Test Procedure Based on a Modified Bonferroni Test. Biometrika.1988; 75(2):383-6.
Rom DR. A Sequentially Rejective Test Procedure Based on a Modified Bonferroni Equality. Biometrika. 1990; 77(3):663-5.
Dunnett CW, Tamhane AC. A Step-up Multiple Test Procedure. Journal of The American Statistical Association. 1992; 87(417):162-70.
Simes RJ. An Improved Bonferroni Procedure for Multiple Tests of Significance. Biometrika. 1986; 73(3):751-4.
Wright SP. Adjusted P-Values for Simultaneous Inference. Biometrics. 1992; 48(4):1005-13.
Sidak Z. Rectangular Confidence Regions for the Means of Multivariate Normal Distributions. Journal of The American Statistical Association. 1967; 62(318):626-33.
Lowry SR. Use and Misuse of Multiple Comparisons in Animal Experiments. Journal of Animal Science. 1992; 70(6):1971-7.
Demirhan H, Dolgun NA, Demirhan YP, Dolgun MÖ. Performance of Some Multiple Comparison Tests Under Heteroscedasticity and Dependency. Journal of Statistical Computation and Simulation. 2010; 80(10):1083-100. Jaccard J, Becker MA, Wood G. Pairwise Multiple
Comparison Procedures: A Review. Psychological Bulletin. 1984; 96(3):589-96. Hancock GR, Klockars AJ. Finite Intersection Tests: A Paradigm for Optimizing Simultaneous and Sequential Inference. Journal of Educational and Behavioral Statistics. 1997; 22(3):291-307.