Measures for designs in experiments with correlated errors

Biometrika

Volumn 90, Issue 2, 2003, Pages 423-434

  Müller, Werner G ^a   Pázman, Andrej ^b  

^a VIENNA UNIVERSITY OF ECONOMICS AND BUSINESS   (Austria)

^b Physics and Informatics   (Slovakia)

Author keywords

Approximate information matrix; Correlated errors; Optimal design; Random sampling; Regression experiment

Indexed keywords

EID: 3843055558     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/90.2.423     Document Type: Article

References (12)

1. ANGELIS, L., BORA-SENTA, E. & MOYSSIADIS, C. (2001). Optimal exact experimental design with correlated errors through a simulated annealing algorithm. Comp. Statist. Data Anal. 37, 275-96.
2. HUGHES-OLIVER, J. M. (1998). Optimal designs for nonlinear models with correlated errors. In New Developments and Applications in Experimental Design, IMS Lecture Notes Monograph Series, 34, Ed. N. Flournoy, W. F. Rosenberger and W. K. Wong, pp. 163-74. Hayward, CA: Institute of Mathematical Statistics.
3. KIEFER, J. (1959). Optimal experimental designs (with Discussion). J. R. Statist. Soc. B 21, 272-319.
4. MÜLLER, W. G. (1995). An example of experimental design in the presence of correlated observation (in German). Österreich. Z. Statist. Info. 24, 9-15.
5. MÜLLER, W. G. & PÁZMAN, A. (1999). An algorithm for the computation of optimum designs under a given covariance structure. Comp. Statist. 14, 197-211.
6. NÄTHER, W. (1985). Exact designs for regression models with correlated errors. Statistics 16, 479-84.
7. PÁZMAN, A. & MÜLLER, W. G. (1998). A new interpretation of design measures. In MODA5 - Advances in Model-Oriented Data Analysis and Experimental Design, Ed. A. C. Atkinson, L. Pronzato and H. P. Wynn, pp. 239-46. Heidelberg: Physica-Verlag.
8. PÁZMAN, A. & MÜLLER, W. G. (2000). Optimal design of experiments subject to correlated errors. Statist. Prob. Lett. 52, 29-34.
9. PUKELSHEIM, F. (1993). Optimal Design of Experiments. New York: Wiley.
10. RASCH, D. A. M. K., HENDRIX, E. M. T. & BOER, E. P. J. (1997). Replication-free optimal designs in regression analysis. Comp. Statist. 12, 19-52.
11. SACKS, J. & YLVISAKER, D. (1966). Designs for regression problems with correlated errors. Ann. Math. Statist. 37, 66-89.
12. SILVEY, S. D. (1980). Optimal Design. London: Chapman and Hall.