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Crossover designs in the presence of carry-over effects from two factors.

Crossover designs in the presence of carry-over effects from two factors.
Crossover designs in the presence of carry-over effects from two factors.
Experiments, used in the telecommunications industry and elsewhere, are considered that involve the simultaneous application of levels of two unrelated factors, treatments and stimuli, to each of several subjects in a succession of time periods. The existence is suspected of carry-over effects of treatments and stimuli, in the period immediately following the period of their application. Methods are given for the construction of separate sequences of treatments and of stimuli; these methods are based on the Latin squares of Williams and of Russell. In the resulting designs, the treatments and stimuli are either orthogonal or nearly orthogonal, and the coincidence of the direct and carry-over effects of each factor is either balanced or nearly balanced. The efficiencies of the designs are assessed by comparing the average variances of elementary contrasts in the levels of each factor with appropriate lower bounds.
0035-9254
379-391
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Russell, K.G.
7a489c0a-13d2-4432-98c1-373692512949
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Russell, K.G.
7a489c0a-13d2-4432-98c1-373692512949

Lewis, S.M. and Russell, K.G. (1998) Crossover designs in the presence of carry-over effects from two factors. Journal of the Royal Statistical Society. Series C: Applied Statistics, 47 (3), 379-391. (doi:10.1111/1467-9876.00116).

Record type: Article

Abstract

Experiments, used in the telecommunications industry and elsewhere, are considered that involve the simultaneous application of levels of two unrelated factors, treatments and stimuli, to each of several subjects in a succession of time periods. The existence is suspected of carry-over effects of treatments and stimuli, in the period immediately following the period of their application. Methods are given for the construction of separate sequences of treatments and of stimuli; these methods are based on the Latin squares of Williams and of Russell. In the resulting designs, the treatments and stimuli are either orthogonal or nearly orthogonal, and the coincidence of the direct and carry-over effects of each factor is either balanced or nearly balanced. The efficiencies of the designs are assessed by comparing the average variances of elementary contrasts in the levels of each factor with appropriate lower bounds.

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Published date: 1998
Organisations: Statistics

Identifiers

Local EPrints ID: 30061
URI: https://eprints.soton.ac.uk/id/eprint/30061
ISSN: 0035-9254
PURE UUID: e212425e-5131-4b84-aea9-ae653aa1cd70

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Date deposited: 14 Mar 2007
Last modified: 17 Jul 2017 15:55

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Author: S.M. Lewis
Author: K.G. Russell

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