Design measures and approximate information matrices for experiments without replications

Journal of Statistical Planning and Inference

Volumn 71, Issue 1-2, 1998, Pages 349-362

  Müller, Werner G ^a   Pázman, Andrej ^b  

^a VIENNA UNIVERSITY OF ECONOMICS AND BUSINESS   (Austria)

^b Faculty of Natural Sciences   (Slovakia)

Author keywords

62K05; One point correction algorithm; Optimum design; Regression experiments

Indexed keywords

EID: 0040588277     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(98)00013-5     Document Type: Article

References (14)

1. Atkinson, A.C., Donev, A.N., 1992. Optimum Experimental Designs. Oxford Statistical Science Series No. 8, Oxford University Press, Oxford.
2. Cook R.D., Nachtsheim C.J. A comparison of algorithms for constructing exact D-optimal designs. Technometrics. 22:1980;315-324.
3. Fedorov V.V., Pázman A. Design of physical experiments (statistical methods). Fortschritte der Physik. 16:1968;325-355.
4. Fedorov, V.V., 1972. Theory of Optimal Experiments. Academic Press, New York.
5. Fedorov V.V. Optimal design with bounded density: Optimization algorithms of the exchange type. J. Statist. Plann. Inference. 22:1989;1-13.
6. Hardin R.H., Sloane N.J.A. A new approach to the construction of optimal designs. J. Statist. Plann. Inference. 37:1993;339-369.
7. Kiefer, J., 1959. Optimal experimental designs (with discussion). J. Roy. Statist. Soc. B, 21, 272-319.
8. Pázman, A., Müller, W.G., 1998. A new interpretation of design measures. In Atkinson, A.C., Pronzato, L., Wynn, H.P. (Eds.), Model-Oriented Data Analysis 5, Heidelberg, Physica.
9. Pázman, A., 1986. Foundations of Optimum Experimental Design, Mathematics and Its Applications. D. Reidel, Dordrecht.
10. Pukelsheim, F., 1993. Optimal Design of Experiments. Wiley, New York.
11. Rao, C.R., 1973. Linear Statistical Inference and Its Applications, 2nd ed. Wiley, New York.
12. Rasch D.A.M.K., Hendrix E.M.T., Boer E.P.J. Replicationfree optimal designs in regression analysis. Comput. Statist. 12:1997;19-32.
13. Silvey, S.D., 1980. Optimal Design. Chapman & Hall, London.
14. Wynn, H.P., 1982. Optimum submeasures with applications to finite population sampling. Statistical Decision Theory and Related Topics III, vol. 2, pp. 485-495. Academic Press, New York.