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Biometrika 2001 88(2):391-399; doi:10.1093/biomet/88.2.391
© 2001 by Biometrika Trust
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Optimal change-over designs when carry-over effects are proportional to direct effects of treatments

R.A. Kempton1, S.J. Ferris1 and O.David2

1 Biomathematics & Statistics Scotland, The King's Buildings, Edinburgh, EH9 3JZ, U.Krob{at}bioss.ac.uk steve{at}bioss.ac.uk 2 Unité de biométrie, INRA, 78352 Jouy-en-Josas Cedex, France.olivier.david{at}jouy.inra.fr

We investigate optimal change-over designs for a model in which treatment carry-over effects are proportional to their direct effects and the proportionality parameter {lambda} is unknown.A combination of analytical results and computer search is used to identify optimal designs for the estimation of direct effects. Neighbour-balanced designs are shown to have good optimality properties: designs with self-adjacencies perform better for positive {lambda}, while those without self-adjacencies are better when {lambda} is negative. The application of the designs to sensory studies is discussed.

Key Words: Cross-over trial; Neighbour-balanced design; Repeated measurements design; Sensory experiment

Received March 2000. Revised September 2000


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[Abstract] [PDF]


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