Near-factorial experiments in nested row–column designs regulating efficiencies

Article Type

Research Article

Publication Title

Journal of Statistical Planning and Inference

Abstract

We propose a method for constructing a nested row–column design d0, involving a control treatment and v test treatments, starting from a Youden or Latin square T and an incomplete block design d. It is shown how the choice of T and d regulates the efficiency factors of d0. Special attention is given to the case when the v test treatments have a factorial structure, and for appropriately chosen d, an admissibility property of d0, among all comparable designs, is established. Illustrative examples are given.

First Page

109

Last Page

116

DOI

10.1016/j.jspi.2017.08.005

Publication Date

2-1-2018

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