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A GROUP OF SPLIT‐PLOT DESIGNS WITH A HETEROSCEDASTIC MODEL
Author(s) -
Bhuyan K. C.
Publication year - 1984
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1984.tb01227.x
Subject(s) - heteroscedasticity , mathematics , statistics , estimator , group (periodic table) , variance (accounting) , generalized least squares , constant (computer programming) , plot (graphics) , least squares function approximation , computer science , chemistry , accounting , organic chemistry , programming language , business
Summary For a group of split‐plot designs it is assumed that the error variance is constant for a particular experiment but it varies from experiment to experiment. Assuming error variances to be known, estimators of the treatment parameters are obtained by weighted (generalised) least squares method and the corresponding analysis is given. For unknown error variances, an adjustment of the statistics using estimated weights is proposed for removing much of the resulting bias. The adjustment stems from a theorem due to Meier (1953).