Detecting Significant Contrasts in Analysis of Variance

A problem that arises frequently in Analysis of Variance is that after rejection of the overall hypothesis, none of the contrasts of interest may be found to be significant when using the available multiple comparison procedures. A procedure for determining the contrast that is responsible for the r...

Full description

Saved in:
Bibliographic Details
Published in:Educational and psychological measurement 1979-04, Vol.39 (1), p.39-44
Main Authors: Swaminathan, Hariharan, Defriesse, Frederick
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A problem that arises frequently in Analysis of Variance is that after rejection of the overall hypothesis, none of the contrasts of interest may be found to be significant when using the available multiple comparison procedures. A procedure for determining the contrast that is responsible for the rejection of the hypothesis is outlined, and the relationship between the "most significant" contrast and the overall test is shown. The implications of this for carrying out multiple comparisons is discussed.
ISSN:0013-1644
1552-3888
DOI:10.1177/001316447903900106