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Unbalancedness and Efficiency in Estimating Components of Variance: MINQUE and ANOVA Procedure
Author(s) -
Ahrens H.,
Sanchez J.
Publication year - 1982
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.4710240704
Subject(s) - mathematics , statistics , analysis of variance , variance components , measure (data warehouse) , variance (accounting) , efficiency , repeated measures design , mixed design analysis of variance , econometrics , computer science , data mining , accounting , estimator , business
We consider the one‐way classification random model. Using a measure of unbalancedness some MINQ‐Estimation procedures and ANOVA‐procedure have been investigated with respect to their sensibility to unbalancedness. Further if we define the efficiency of a design N as the ratio of the MSE (.)'s of the balanced and the unbalanced case we obtain for three MINQE‐procedures upper and lower bounds of the minimum efficiency.