Optimality of type I orthogonal arrays for cross-over models with correlated errors

Journal of Statistical Planning and Inference

Volumn 87, Issue 1, 2000, Pages 119-124

  Kunert, J ^a   Martin, R J ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

62K15; Carry over effect; Change over design; Cross over design; Dependent observations; Generalized least squares; Optimal design; Orthogonal arrays; Repeated measurements design

Indexed keywords

EID: 0042784925     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(99)00182-2     Document Type: Article

References (17)

1. Cheng, C.-S., Wu, C.-F., 1980. Balanced repeated measurements designs. Ann. Statist. 8, 1272-1283. Corrigendum 11 (1983), 349.
2. Cheng, C.-S., Wu, C.-F., 1980. Balanced repeated measurements designs. Ann. Statist. 8, 1272-1283. Corrigendum 11 (1983), 349.
3. Hedayat A., Zhao W. Optimal two-period repeated measurements designs. Ann. Statist. 18:1990;1805-1816.
4. Kiefer, J., 1975. Construction and optimality of generalized Youden designs. In: J.N. Srivastava (Ed.), A Survey of Statistical Design and Linear Models, North-Holland, Amsterdam, 333-353.
5. Kunert J. Optimal design and refinement of the linear model with applications to repeated measurements designs. Ann. Statist. 11:1983;247-257.
6. Kunert J. Optimality of balanced uniform repeated measurements designs. Ann. Statist. 12:1984;1006-1017.
7. Kunert J. Neighbour balanced block designs for correlated errors. Biometrika. 74:1987;717-724.
8. Kunert J. Cross-over designs for two treatments and correlated errors. Biometrika. 78:1991;315-324.
9. Kunert J., Utzig B. Estimation of variance in cross-over designs. J. Roy. Statist. Soc. B. 55:1993;919-927.
10. Kushner H.B. Optimal repeated measurements designs: the linear optimality equations. Ann. Statist. 25:1997;2328-2344.
11. Kushner H.B. Optimal and efficient repeated-measurements designs for uncorrelated observations. J. Amer. Statist. Assoc. 93:1998;1176-1187.
12. Kushner H.B. H-symmetric optimal repeated measurements designs. J. Statist. Plann. Infer. 76:1999;235-261.
13. Martin R.J., Eccleston J.A. Variance-balanced change-over designs for dependent observations. Biometrika. 85:1998;883-892.
14. Matthews J.N.S. Recent developments in crossover designs. Int. Statist. Rev. 56:1988;117-127.
15. Rao C.R. Combinatorial arrangements analogous to orthogonal arrays. Sankhya A. 23:1961;283-286.
16. Stufken J. Some families of optimal and efficient repeated measurements designs. J. Statist. Plann. Infer. 27:1991;75-83.
17. Stufken, J., 1996. Optimal crossover designs. In: S. Ghosh, C.R. Rao (Eds.), Handbook of Statistics 13: Design and Analysis of Experiments. North-Holland, Amsterdam, pp. 63-90.