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Criteria for the equality between ordinary least squares and best linear unbiased estimators under certain linear models
Authors:Jerzy K Baksalary
Abstract:A new necessary and sufficient condition is derived for the equality between the ordinary least-squares estimator and the best linear unbiased estimator of the expectation vector in linear models with certain specific design matrices. This condition is then applied to special cases involving one-way and two-way classification models.
Keywords:Best linear unbiased estimator  ordinary least-squares estimator  one-way classification  twofold nested classification  two-way classification  heterogeneous variances
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