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Efficient crossover designs in the presence of interactions between direct and carry-over treatment effects

Park, D.K., Bose, M., Notz, W.I. and Dean, Angela (2011) Efficient crossover designs in the presence of interactions between direct and carry-over treatment effects Journal of Statistical Planning and Inference, 141, (2), pp. 846-860. (doi:10.1016/j.jspi.2010.08.005).

Record type: Article

Abstract

Crossover designs, or repeated measurements designs, are used for experiments in which t treatments are applied to each of n experimental units successively over p time periods. Such experiments are widely used in areas such as clinical trials, experimental psychology and agricultural field trials. In addition to the direct effect on the response of the treatment in the period of application, there is also the possible presence of a residual, or carry-over, effect of a treatment from one or more previous periods. We use a model in which the residual effect from a treatment depends upon the treatment applied in the succeeding period; that is, a model which includes interactions between the treatment direct and residual effects. We assume that residual effects do not persist further than one succeeding period.

A particular class of strongly balanced repeated measurements designs with n=t2 units and which are uniform on the periods is examined. A lower bound for the A-efficiency of the designs for estimating the direct effects is derived and it is shown that such designs are highly efficient for any number of periods p=2,…,2t

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More information

e-pub ahead of print date: 10 August 2010
Published date: February 2011
Organisations: Statistics, Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 339789
URI: http://eprints.soton.ac.uk/id/eprint/339789
ISSN: 0378-3758
PURE UUID: 18075b02-a06c-4af0-93a4-2ff7789bc2b7

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Date deposited: 30 May 2012 14:08
Last modified: 18 Jul 2017 05:52

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Contributors

Author: D.K. Park
Author: M. Bose
Author: W.I. Notz
Author: Angela Dean

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