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General Block Designs with a Heteroscedastic Model
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Journal Article
General Block Designs with a Heteroscedastic Model
1979
Overview
For general block designs (with unequal block sizes), the error variance is assumed to be heteroscedastic with respect to the levels of treatments. For known error variances, the weighted (generalised) least squares estimators of the treatment parameters are obtained and the corresponding analysis is provided. Canonical forms of the two sums of squares concerned are also given. When group variances are not known, an adjustment of the treatment estimators and other statistics using estimated weights is suggested for removing much of the resulting bias. The adjustment stems from a theorem due to Meier (1953).
Publisher
Statistical Publishing Society
