Factorial designs, the XX′XX criterion, and some related matters

Technometrics

Volumn 13, Issue 4, 1971, Pages 731-742

  Box, M J ^a   Draper, N R ^b  

^a AKZO NOBEL CENTRAL RESEARCH   (Netherlands)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84938443667     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1971.10488845     Document Type: Article

References (18)

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3. Box, G. E. P. and DRAPER, N. R. (1959). A basis for the selection of a response surface design. J. Amer. Statist. Assoc. 54, 622-654.
4. Box, G. E. P. and DRAPER, N. R. (1963). The choice of a second order rotatable design. Biometrika 50, 335-352.
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10. FARRELL, R. H., KIEFER, J., and WALBRAN, A. (1967). Optimum multivariate designs. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1, ed. L. M. LeCam and J. Neyman, University of California Press, 113-138.
11. Hartley, H. O. and Ruud, P. G. (1969). Computer optimization of second order response surface designs. Proceedings of Conference on Statistical Computation, University of Wisconsin, April-May, published as Statistical Computation, ed. R. C. Milton and J. A. Nelder, Academic Press, New York, 441-462.
12. HOEL, P. G. (1965). Minimax designs in two-dimensional regression. Ann. Math. Statist. 36, 1097-1106.
13. KIEFER, J. (1961a). Optimum designs in regression problems, II. Ann. Math. Statist. 32, 298-325.
14. KIEFER, J. (1961b). Optimum experimental designs V, with applications to systematic and rotatable designs. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume I, ed. J. Neyman, University of California Press, 381-405.
15. POWELL, M. J. D. (1964). An efficient method of finding the minimum of a function of several variables without calculating derivatives. The Computer Journal 7, 155-162.
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17. STIGLER, S. M. (1970). Optimal experimental designs for polynomial regression. J. Amer. Statist. Assoc. 66, 311-318.
18. WYNN, H. P. (1970). The sequential generation of D-optimum experimental designs. Ann. Math. Statist. 41, 1655-1664.