Dissertation Information for Baldeo K. Taneja
MPACT Status: Incomplete - Inspected
Title: RANKING AND SELECTION IN DESIGNED EXPERIMENTS
Abstract: As early as the first paper of Bechhofer on ranking and selection in 1954 it was recognized that, with a ranking and selection goal as well as with other goals such as estimation or hypothesis testing, it might be desirable to carry out one's experiment in some design other than the completely randomized design. Nevertheless, over the years almost all of the papers in the area have developed their methods and theory explicitly only for the completely randomized design. In this dissertation: (i) we review what is known about ranking and selection in design settings, (ii) we discuss three selection procedures SP1, SP2 and SP3 in complete factorial experiments without interaction and give new results for factorial experiments where interaction may be present, (iii) we formulate and study a new selection procedure SP4 for selection in complete factorial experiments with interaction and provide tables for using it in 2 x 2 factorial experiments, and (iv) we enumerate some avenues for further research currently being pursued.
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