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

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 47, Issue 3, 1998, Pages 379-391

  Lewis, S M ^a   Russell, K G ^b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b NONE

Author keywords

Experiment; Latin square; Near balance; Orthogonality

Indexed keywords

EID: 0041169726     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9876.00116     Document Type: Article

References (14)

1. Dénes, J. and Keedwell, A. D. (1991) Latin Squares: New Developments in the Theory and Applications. Amsterdam: Elsevier Science.
2. Donev, A. N. (1997) Algorithm AS 313: An algorithm for construction of crossover trials. Appl. Statist., 46, 288-295.
3. Fletcher, D. J. (1987) A new class of change-over designs for factorial experiments. Biometrika, 74, 649-654.
4. Fletcher, D. J., Lewis, S. M. and Matthews, J. N. S. (1990) Factorial designs for crossover clinical trials. Statist. Med., 9, 1121-1129.
5. Hedayat, A. and Afsarinejad, K. (1978) Repeated measurements designs, II. Ann. Statist., 6, 619-628.
6. John, J. A. and Lewis, S. M. (1983) Factorial experiments in generalized cyclic row-column designs. J. R. Statist. Soc. B, 45, 245-251.
7. Jones, B. and Kenward, M. G. (1989) Design and Analysis of Cross-over Trials. London: Chapman and Hall.
8. Kok, K. L. and Patterson, H. D. (1976) Algebraic results in the theory of serial factorial design. Biometrika, 63, 559-565.
9. Mann, H. B. (1942) The construction of orthogonal Latin squares. Ann. Math. Statist., 13, 418-423.
10. Patterson, H. D. and Lucas, H. L. (1962) Change-over designs. Technical Bulletin 147. North Carolina Agricultural Experiment Station, Raleigh.
11. Russell, K. G. (1991) The construction of good change-over designs when there are fewer units than treatments. Biometrika, 78, 305-313.
12. Senn, S. (1993) Cross-over Trials in Clinical Research. Chichester: Wiley.
13. Street, A. P. and Street, D. J. (1987) Combinatorics of Experimental Design. Oxford: Oxford University Press.
14. Williams, E. J. (1949) Experimental designs balanced for the estimation of residual effects of treatments. Aust. J. Sci. Res. A, 2, 149-168.