scholarly journals APPROPRIATE CRITICAL VALUES FOR PAIRWISE COMPARISONS OF MULTIPLE COMPARISON PROCEDURES FOR NORMAL VARIANCES WHEN SAMPLE SIZES ARE UNBALANCED

2020 ◽  
Vol 52 (2) ◽  
pp. 1-15
Author(s):  
Tsunehisa Imada
Keyword(s):  
Critical Values ◽  
Multiple Comparison ◽  
Pairwise Comparisons ◽  
Sample Sizes ◽  
Multiple Comparison Procedures

Critical Values for Two Multiple Comparison Procedures Based on the Studentized Range Distribution

1990 ◽  
Vol 15 (4) ◽  
pp. 341-352 ◽  
Author(s):  
Philip P. Ramsey ◽  
Patricia P. Ramsey
Keyword(s):  
Critical Values ◽  
Multiple Comparison ◽  
Range Distribution ◽  
Studentized Range ◽  
Step Down ◽  
Multiple Comparison Procedures

A table of critical values is provided for simple and accurate testing of the Welsch step-down procedure and the Shaffer-Welsch procedure. The advantages and use of the table are presented and discussed

On Two-Stage Multiple Comparison Procedures When there are Unequal Sample Sizes in the First Stage

1984 ◽  
Vol 9 (3) ◽  
pp. 227-236 ◽  
Author(s):  
Rand R. Wilcox
Keyword(s):  
Type I Error ◽  
Practical Importance ◽  
Multiple Comparison ◽  
Type I ◽  
Sample Sizes ◽  
Two Stage ◽  
Unequal Variances ◽  
Type I Error Probability ◽  
Multiple Comparison Procedures ◽  
Unequal Sample Sizes

A problem of considerable practical importance when applying multiple comparison procedures is that unequal variances can seriously affect power and the probability of a Type I error. A related problem is getting a precise indication of how many observations are required so that the length of the confidence intervals will be reasonably short. Two-stage procedures have been proposed that give an exact solution to these problems, the first stage being a pilot study for the purpose of obtaining sample estimates of the variances. However, the critical values of these procedures are available only when there are equal sample sizes in the first stage. This paper suggests a method of evaluating the experimentwise Type I error probability when the first stage has unequal sample sizes.

Pairwise comparisons of means under realistic nonnormality, unequal variances, outliers and equal sample sizes

2011 ◽  
Vol 81 (2) ◽  
pp. 125-135 ◽  
Author(s):  
Philip H. Ramsey ◽  
Kyrstle Barrera ◽  
Pri Hachimine-Semprebom ◽  
Chang-Chia Liu
Keyword(s):  
Pairwise Comparisons ◽  
Sample Sizes ◽  
Unequal Variances
Sign in / Sign up

Export Citation Format

Share Document