Optimal change-over designs when carry-over effects are proportional to direct effects of treatments

Biometrika

Volumn 88, Issue 2, 2001, Pages 391-399

  Kempton, R A ^a   Ferris, S J ^b   David, O ^b  

^a BIOMATHEMATICS AND STATISTICS SCOTLAND   (United Kingdom)

^b CEMAGREF   (France)

Author keywords

Cross over trial; Neighbour balanced design; Repeated measurements design; Sensory experiment

Indexed keywords

EID: 0012770540     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/88.2.391     Document Type: Article

References (26)

1. CHENG, C. S. & Wu, C. F. (1980). Balanced repeated measurements designs. Ann. Statist. 8, 1272-83.
2. COCHRAN, W. G., AUTREY, K. M. & CANNON, C. Y. (1941). A double change-over design for dairy cattle feeding experiments. J. Dairy Sci. 24, 937-51.
3. COX, D. R. (1958). Planning of Experiments. New York: John Wiley.
4. CROSS, D. V. (1973). Sequential dependencies and regression in psychophysical judgements. Percept. Psyclwphys. 14, 547-52.
5. DECARLO, L. T. & CROSS, D. V. (1990). Sequential effects in magnitude scaling: models and theory. J. Exp. Psychoi: Gener. 119, 375-96.
6. DONEV, A. N. (1997). An algorithm for the construction of crossover trials. Appl. Statist. 46, 288-95.
7. DRAPER, N. R. & GUTTMAN, I. (1980). Incorporating overlap effects from neighbouring units into response surface models. Appl. Statist. 29, 128-34.
8. DURIER, C., MONOD, H. & BRUETSCHY, A. (1997). Design and analysis of factorial sensory experiments with carry-over effects. Food Qual. Pref. 8, 131-9.
9. FEDOROV, V. V. & HACKL, P. (1997). Model-Oriented Design of Experiments. New York: Springer-Verlag.
10. FINNEY, D. J. (1956). Cross-over designs in bioassay. Proc. R. Soc. Land. B 145, 42-61.
11. GILL, P. S. ( 1993). Design and analysis of field experiments incorporating local and remote effects of treatments. Biomet. J. 35, 343-54.
12. HEDAYAT, A. & AFSARINEJAD, K. (1978). Repeated measurements designs II. Ann. Statist. 6, 619-28.
13. JESTEADT, W., LUCE, R. D. & GREEN, D. M. (1977). Sequential effects in judgements of loudness. J. Exp. Psyclwl.: Hum. Percept. Perf. 3, 92-104.
14. JOHN, J. A. & WILLIAMS, E. R. (1995). Cyclic and Computer Generated Designs. London: Chapman and Hall.
15. JONES, B. & KENWARD, M. G. (1989). Design and Analysis of Cross-over Trials. London: Chapman and Hall.
16. KEMPTON, R. A. (1997). Interference between plots. In Statistical Methods for Plant Variety Evaluation, Ed. R. A. Kempton and P. N. Fox, pp. 101-16. London: Chapman and Hall.
17. KUSHNER, H. B. (1998). Optimal and efficient repeated-measurements designs for uncorrelated observations. J. Am. Statist. Assoc. 93, 1176-87.
18. MARTIN, R. J. & ECCLESTON, J. A. (1998). Variance-balanced change-over designs for dependent observations. Biometrika 85, 883-92.
19. MATTHEWS, J. N. S. (1994). Modelling and optimality in the design of crossover studies for medical applications. J. Statist. Plan. Infer. 42, 89-108.
20. PATTERSON, H. D. (1952). The construction of balanced designs for experiments involving sequences of treatments. Biometrika 39, 32-48.
21. PATTERSON, H. D. & LUCAS, H. L. (1959). Extra-period change-over designs. Biometrics 15, 116-32.
22. PUKELSHEIM, F. (1993). Optimal Design of Experiments. Chichester: Wiley.
23. SCHIFFERSTEIN, H. N. J. & OUDEJANS, I. M. (1996). Determinants of cumulative successive contrast in saltiness intensity judgements. Percept. Psychophys. 58, 713-24.
24. SENN, S. J. (1992). Is the simple carryover model useful? Statist. Med. 11, 715-26.
25. SHAH, K. R. & SINHA, B. K. (1989). Theory of Optimal Designs. Berlin: Springer.
26. WILLIAMS, E. J. (1949). Experimental designs balanced for the estimation of residual effects of treatments. Aust. J. Sci. Res. 2, 149-68.