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Imbalance and its Influence on Variance Component Estimation
Author(s) -
Ahrens Heinz J.,
Sánchez Jesús E.,
Ahrens H.,
Sánchez J.
Publication year - 1992
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710340504
Subject(s) - estimator , variance components , mathematics , variance (accounting) , statistics , efficiency , measure (data warehouse) , component (thermodynamics) , analysis of variance , econometrics , computer science , data mining , physics , accounting , business , thermodynamics
A measure of imbalance has been defined for the one‐way classification (Model II) in order to quantify the degree of imbalance. Using the ANOVA and MINQUE procedures we consider the variances and relative efficiencies of the estimators of σ 2 a as functions of the measure of imbalance. We propose a method for generating all the designs which are possible from a given number of observations and a given number of groups. Numerical results for special types of designs show the influence of imbalance on the variance and relative efficiency of an estimator for σ z a .