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Minimal point second order designs. (English) Zbl 0473.62059


MSC:

62K05 Optimal statistical designs
62K15 Factorial statistical designs
Full Text: DOI

References:

[1] Atwood, C. L., Optimal and efficient designs of experiments, Ann. Math. Statist., 40, 1570-1602 (1969) · Zbl 0182.51905
[2] Box, J. M.; Draper, N. R., On minimum point second order designs, Technometrics, 16, 613-616 (1974) · Zbl 0292.62054
[3] Cheng, C. S., Optimality of some weighing designs and \(2^n\) fractional factorial designs, Ann. Statist., 8, 436-446 (1977) · Zbl 0425.62055
[4] Dubova, I. S.; Federov, V. V., Tables of optimum designs II (saturated \(D\)-optimal designs on a cube) (1972), Interfaculty Laboratory of Statistical Methods, Moscow University, Issued by
[5] Ehlich, H., Determinantenabschätzungen für binäre Matrizen, Math. Z., 83, 123-132 (1964) · Zbl 0115.24704
[6] Ehlich, H., Determinantenabschätzung für binäre Matrizen mit \(n\)≡3 mod 4, Math. Z., 84, 438-447 (1964) · Zbl 0208.39803
[7] Farrell, R. H.; Kiefer, J.; Walbran, A., Optimum multivariate designs, (Proc. Fifth Berkeley Symp. Math. Statist. Prob., 1 (1965), Univ. of California Press), 113-138 · Zbl 0193.17101
[8] Householder, A. S., The Theory of Matrices in Numerical Analysis (1964), Blaisdell: Blaisdell Waltham, MA · Zbl 0161.12101
[9] Mitchell, T. J.; Bayne, C. K., \(D\)-optimal fractions of three level factorial designs, Oak Ridge National Laboratory Report (1976) · Zbl 0406.62057
[10] Pesotchinsky, L. L., \(D\)-optimum and quasi \(D\)-optimum second order designs on a cube, Biometrika, 62, 335-340 (1975) · Zbl 0309.62054
[11] Raghavarao, D., Constructions and Combinatorial Problems in Design of Experiments (1971), Wiley: Wiley New York · Zbl 0222.62036
[12] Rechtschaffner, R. L., Saturated fractions of \(2^n\) and \(3^n\) factorial designs, Technometrics, 9, 569-575 (1967)
[13] Srivastava, J. N., Some general existence conditions for balanced arrays of strength \(t\) and 2 symbols, J. Comb. Theory, 12, 198-206 (1972) · Zbl 0243.05017
[14] Srivastava, J. N.; Chopra, D. V., On the characteristic roots of the information matrix of \(2^m\) balanced factorial designs of resolution \(V\), with applications, Ann. Math. Statist., 42, 722-734 (1971) · Zbl 0246.62080
[15] Srivastava, J. N.; Chopra, D. V., Optimal balanced \(2^m\) fractional factorial designs, \(m\)≤6, Technometrics, 13, 257-269 (1971) · Zbl 0231.62087
[16] Yang, C. H., Some designs for maximal (+1, -1) determinant of order \(n\)≡2 (mod 4), Math. Comp., 20, 147-148 (1966) · Zbl 0138.01102
[17] Yang, C. H., On the designs of maximal (+1, -1) matrices of order \(n\)≡2 (mod 4), Math. Comp., 22, 174-180 (1968) · Zbl 0167.01703
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