A Method for Constructing Valid Restricted Randomization Schemes Using the Theory of D-Optimal Design of Experiments

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A Method for Constructing Valid Restricted Randomization Schemes Using the Theory of D-Optimal Design of Experiments

TitleA Method for Constructing Valid Restricted Randomization Schemes Using the Theory of D-Optimal Design of Experiments
Publication TypeJournal Article
Year of Publication1981
AuthorsWhite, WJWelch L
JournalJournal of the Royal Statistical Society. Series B (Methodological)
Volume43
Pagination167-172
ISSN00359246
AbstractComplete randomization of a one-way layout design may lead to problems if the resulting choice of layout is considered unsuitable by the experimenter. Valid restricted randomization is an attempt to retain the mathematical properties of complete randomization while ensuring that the probability of selection of an unsuitable layout is zero. The problem of constructing valid restricted randomization schemes, when these exist, is shown to be equivalent to a particular problem in the theory of optimal design of experiments.
URLhttp://www.jstor.org/stable/2984844