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Survey-tutorial on multiple comparison procedures

A Grandillo

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Abstract

Multiple comparison procedures for making linear contrasts and all pairwise multiple comparisons among observed treatment means from designed experiments are introduced. The older and more popular methods of Scheffe, Duncan, Tukey, Student-Newman-Keuls, Fisher, Bonferroni, and Dunnett are described in detail with examples to illustrate their use. Also discussed are some of the new techniques that have gained considerable attention in the literature, such as the methods of Spjoetvoll-Stoline, Games-Howell, Dunn-Sidak, Hotchberg, and Tamhane.

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Multiple comparison procedures for making linear contrasts and all pairwise multiple comparisons among observed treatment means from designed experiments are introduced. The older and more popular methods of Scheffe, Duncan, Tukey, Student-Newman-Keuls, Fisher, Bonferroni, and Dunnett are described in detail with examples to illustrate their use. Also discussed are some of the new techniques that have gained considerable attention in the literature, such as the methods of Spjoetvoll-Stoline, Games-Howell, Dunn-Sidak, Hotchberg, and Tamhane.

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Available abstract

Multiple comparison procedures for making linear contrasts and all pairwise multiple comparisons among observed treatment means from designed experiments are introduced. The older and more popular methods of Scheffe, Duncan, Tukey, Student-Newman-Keuls, Fisher, Bonferroni, and Dunnett are described in detail with examples to illustrate their use. Also discussed are some of the new techniques that have gained considerable attention in the literature, such as the methods of Spjoetvoll-Stoline, Games-Howell, Dunn-Sidak, Hotchberg, and Tamhane.

Key concepts: Bonferroni correction, Scheffé's method, Pairwise comparison, Multiple comparisons problem, Statistics, Computer science, Mathematics, Analysis of variance

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