Multiple Comparisons Tests

This is a summary of the mechanics necessary for each of the Post Hoc or Multiple Comparisons test covered in this course.

Tukey's HSD

Statistical hypotheses

Formulae

Decision rules

Student Newman Keuls

Statistical hypotheses

Formulae

Decision rules

Dunnett's test

Statistical hypotheses

Formulae

Decision rules

Scheffe test

Statistical hypotheses

Formulae

Decision rules

SS-STP

Statistical hypotheses

Formulae

Decision rules

Tukey's HSD

Statistical Hypotheses

Formula for *q* statistic

- Equal sample sizes

- Unequal sample sizes

Critical Values and Decisions to Reject/NotReject

Student-Newman-Keuls Test (SNK)

Statistical Hypotheses

Formula for *q* statistic

same as Tukey test - see above

Critical Values and Decisions to Reject/NotReject

p = range of means being compared

Dunnett's Test

Statistical Hypotheses: Two-Tailed Test

Statistical Hypotheses: One-Tailed Tests

Formula for *q*'
statistic

Equal sample sizes

Unequal sample sizes

Critical Values and Decisions to Reject/NotReject

Scheffe's Test

Statistical Hypotheses - Multiple Hypothesesfor various comparisons between means

Comparing two means

Comparing one mean against two means

Comparing three means against two means

Formula for *S* statistic

Comparing two means

Comparing various combinations of means

Critical Values and Decisions to Reject/NotReject

Simultaneous Sums of Squares Test Procedure(SS-STP)

Statistical Hypotheses

same as Scheffe's test - see above

Formula

Comparing two means

Comparing one mean against a group of means

Comparing various combinations of means

Critical Values and Decisions to Reject/NotReject

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**Trademark and Disclaimers**

Copyright © 2001 Jay Pitocchelli. All rights reserved. The contents of this page are the intellectual property of Dr. Jay Pitocchelli for distribution to students enrolled in Biostatistics BI 45 at Saint Anselm College. These pages may not be copied, photocopied, reproduced, translated, or published in any electronic or machine-readable form in whole or in part without prior written approval of Jay Pitocchelli. Students enrolled in Biostatistics BI 45 at Saint Anselm College have permission to print this material for their lecture notes. All formulae and critical values from: Zar, J. H. 1999. Biostatistical Analysis. (4th ed.). New Jersey, Prentice Hall.