Optimal and efficient repeated-measurements designs for uncorrelated observations

Journal of the American Statistical Association

Volumn 93, Issue 443, 1998, Pages 1176-1187

  Kushner, H B ^a  

^a NATHAN S KLINE INSTITUTE FOR PSYCHIATRIC RESEARCH   (United States)

Author keywords

Efficiency; Information matrix; Optimality; Periods; Repeated measurements; Response model; Treatment effects; Treatment sequences; Treatments

Indexed keywords

EID: 0032357219     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10473778     Document Type: Article

References (17)

1. Cheng, C. S., and Wu, C. F. (1980), "Balanced Repeated Measurements ments Designs," The Annals of Statistics, 8, 1272-1283. Corr. (1983), 11,349.
2. Hcdayat, A., and Zhao, W. (1990), "Optimal Two-Period Repeated Measurements Designs," The Annals of Statistics, 18, 1805-1816.
3. Huynh, H., and Feldt, L. S. (1970), "Conditions Under Which Mean Square Ratios in Repeated Measurements Designs have Exact F-Distributions," Journal of the American Statistical Association, 65, 1582-1589.
4. Jones, B., and Donev, A. (1996), "Modelling and Design of Cross-Over Trials," Statistics in Medicine, 15, 1435-1446.
5. Jones, B., and Kenward, M. (1989), Design and Analysis of Crossover Trials, London: Chapman and Hall.
6. Kiefer, J. (1958), "On the Nonrandom Optimality and Randomized Nonoptimality of Symmetrical Designs," The Annals of Statistics, 29, 675-699.
7. Kiefer, J. (1975), "Construction and Optimality of Generalized Youden Designs," in A Survey of Statistical Designs and Linear Models, ed. J. N. Srivistava. Amsterdam: North-Holland, pp. 333-353.
8. Kunert, J. (1983), "Optimal Design and Refinement of the Linear Model With Applications to Repeated Measurements Designs," The Annals of Statistics, 11, 247-257.
9. Kushner, H. B. (1997a), "Optimality and Efficiency of Two Treatment Repeated Measurements Designs," Biometrika, 84, 455-468.
10. Kushner, H. B. (1997b), "Optimal Repeated Measurements Designs: The Linear Optimality Equations," The Annals of Statistics, 25, 2328-2344.
11. Laska, E., and Meisner, M. (1985), "A Variational Approach to Optimal Two-Treatment Crossover Designs: Application to Carryover-Effect Models," Journal of the American Statistical Association, 80, 704-710.
12. Laska, E., Meisner, M., and Kushner, H. (1983), "Optimal Crossover Designs in the Presence of Carryover Effects," Biometrics, 39, 1087-1091.
13. Matthews, J. N. S. (1990), "Optimal Dual-Balanced Two Treatment Crossover Designs," Sankhya: The Indian Journal of Statistics, 52, 332-337.
14. Matthews, J. N. S. (1987), "Optimal Crossover Designs for the Comparison of Two Treatments in the Presence of Carryover Effects and Autocorrelated Errors," Biometrika, 74, 311-320.
15. Ratkowsky, D., Evans, M., and Alldredge, J. R. (1993), Cross-Over Experiments, New York: Marcel Dekker.
16. Shah, K., and Sinha, B. (1989), Theory of Optimal Designs, New York: Springer-Verlag.
17. Stufken, J. (1991), "Some Families of Optimal and Efficient Repeated Measurements Designs," Journal of Statistical Planning and Inference, 27, 75-83.