论文信息 - Comparison of designs equivalent under one or two criteria

Comparison of designs equivalent under one or two criteria

Abstract Two designs equivalent under one or two criteria may be compared under other criteria. For certain configurations of eigenvalues of the information matrices, we decide which design is the better of the two for many other such criteria. The relationship to universal optimality (in the case of equivalence under one criterion) is indicated. For two criteria, applications are given to weighing and treatment-with-covariate settings.

Z. Galil | J. Kiefer | J. Kiefer | Z. Galil

[1] Z. Galil,et al. Construction Methods for $D$-Optimum Weighing Designs when $n \equiv 3 (\operatorname{mod} 4)$ , 1982 .

[2] J. Kiefer. Construction and optimality of generalized Youden designs II , 1975 .

[3] J. Kiefer. Optimum Experimental Designs , 1959 .

[4] J. Kiefer,et al. THE ROLE OF SYMMETRY AND APPROXIMATION IN EXACT DESIGN OPTIMALITY , 1971 .

[5] Ching-Shui Cheng,et al. Optimality of Some Weighing and $2^n$ Fractional Factorial Designs , 1980 .

[6] Ching-Shui Cheng,et al. A note on (m.s)-optimality , 1978 .

[7] Ching-Shui Cheng,et al. Optimality of Certain Asymmetrical Experimental Designs , 1978 .

[8] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .

[9] A. S. Hedayat,et al. On the Theory of Connected Designs: Characterization and Optimality , 1974 .

[10] H. Ehlich,et al. Determinantenabschätzung für binäre Matrizen mitn≡3 mod 4 , 1964 .

[11] Z. Galil,et al. $D$-Optimum Weighing Designs , 1980 .

[12] Josefa Lopes Troya. Optimal designs for covariates’ models☆ , 1982 .

[13] H. Ehlich,et al. Determinantenabschätzungen für binäre Matrizen , 1964 .

[14] K. R. Shah. Optimality Criteria for Incomplete Block Designs , 1960 .