Some Multiple Range Tests for Variances
- 1 October 1975
- journal article
- research article
- Published by SAGE Publications in Educational and Psychological Measurement
- Vol. 35 (3) , 599-604
- https://doi.org/10.1177/001316447503500308
Abstract
Often times, the experimenter is interested in making inferences about treatment variances instead of, or in addition to, inferences about means. Three multiple range tests are proposed for the purpose of specifying which treatment variances or sets of variances are homogeneous. The procedures are based upon the Fmax statistic, Cochran's statistic, and a normalizing log transformation of the sample variances. All three tests depend heavily upon the underlying assumption of normality.Keywords
This publication has 6 references indexed in Scilit:
- The Ranking of Variances in Normal PopulationsJournal of the American Statistical Association, 1956
- NON-NORMALITY AND TESTS ON VARIANCESBiometrika, 1953
- The use of the „studentized range” in connection with an analysis of varianceEuphytica, 1952
- The Statistical Analysis of Variance-Heterogeneity and the Logarithmic TransformationJournal of the Royal Statistical Society Series B: Statistical Methodology, 1946
- THE PROBABILITY INTEGRAL OF THE RANGE IN SAMPLES OF n OBSERVATIONS FROM A NORMAL POPULATIONBiometrika, 1942
- THE DISTRIBUTION OF RANGE IN SAMPLES FROM A NORMAL POPULATION, EXPRESSED IN TERMS OF AN INDEPENDENT ESTIMATE OF STANDARD DEVIATIONBiometrika, 1939