The effect of imbalance on significance- testing in one- way model ii analysis of variance
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 18 (4) , 1239-1250
- https://doi.org/10.1080/03610928908829964
Abstract
The effect of imbalance on two methods of testing hypotheses about the between-group variance component in a one-way random effects model is investigated over a wide range of designs. For testing non-zero values of it is found that the likelihood A ratio statistic is rarely preferable to the F-statistic, even for substantial amounts of extremely imbalanced data. However the likelihood ratio statistic can be appreciably more powerful than the F-statistic in testing for a null value of if the data is extremely imbalanced.Keywords
This publication has 5 references indexed in Scilit:
- A Procedure for Generating Group Sizes from a One-way Classification with a Specified Degree of ImbalanceBiometrical Journal, 1987
- On Two Measures of Unbalancedness in a One‐Way Model and Their Relation to EfficiencyBiometrical Journal, 1981
- Sensitivity of MINQUE with Respect to a Priori WeightsPublished by JSTOR ,1979
- Optimum Invariant Tests in Unbalanced Variance Components ModelsThe Annals of Mathematical Statistics, 1967
- Properties of Model II--Type Analysis of Variance Tests, A: Optimum Nature of the $F$-Test for Model II in the Balanced CaseThe Annals of Mathematical Statistics, 1959