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
Blackboard at Saint Anselm College
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.