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Volumn 74, Issue 4, 2005, Pages 322-329

Evaluation of some non-orthogonal saturated designs with two levels

Author keywords

D optimal designs; Optimality criteria; Screening designs; Variance inflation factor

Indexed keywords


EID: 25144522611     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.04.048     Document Type: Article
Times cited : (3)

References (38)
  • 1
    • 84893770028 scopus 로고
    • Some systematic supersaturated designs
    • K.H.V. Booth D.R. Cox Some systematic supersaturated designs Technometrics 4 1962 489-495
    • (1962) Technometrics , vol.4 , pp. 489-495
    • Booth, K.H.V.1    Cox, D.R.2
  • 2
    • 0001264052 scopus 로고    scopus 로고
    • Projective properties of certain orthogonal arrays
    • G. Box J. Tyssedal Projective properties of certain orthogonal arrays Biometrika 83 1996 950-955
    • (1996) Biometrika , vol.83 , pp. 950-955
    • Box, G.1    Tyssedal, J.2
  • 4
    • 0039123391 scopus 로고
    • An infinite series of symmetric designs
    • Math. Centrum Amsterdam Report ZW, 202/83
    • Brouwer, A.E., 1983. An infinite series of symmetric designs. Math. Centrum Amsterdam Report ZW, 202/83.
    • (1983)
    • Brouwer, A.E.1
  • 5
    • 0001411729 scopus 로고
    • Supplementary difference sets and D-optimal designs for n≡ 2 mod 4
    • T. Chadjipantelis S. Kounias Supplementary difference sets and D-optimal designs for n ≡ 2 mod 4 Discrete Math. 57 1985 211-216
    • (1985) Discrete Math. , vol.57 , pp. 211-216
    • Chadjipantelis, T.1    Kounias, S.2
  • 7
    • 0003117604 scopus 로고
    • On determinants with elements ±1, II
    • J.H.E. Cohn On determinants with elements ±1, II Bull. London Math. Soc. 21 1989 36-42
    • (1989) Bull. London Math. Soc. , vol.21 , pp. 36-42
    • Cohn, J.H.E.1
  • 8
    • 38149147075 scopus 로고
    • On the number of D-optimal designs
    • J.H.E. Cohn On the number of D-optimal designs J. Combin. Theory Ser. A 66 1994 214-225
    • (1994) J. Combin. Theory Ser. A , vol.66 , pp. 214-225
    • Cohn, J.H.E.1
  • 9
    • 0034399366 scopus 로고    scopus 로고
    • Almost D-optimal designs
    • J.H.E. Cohn Almost D-optimal designs Util. Math. 57 2000 121-128
    • (2000) Util. Math. , vol.57 , pp. 121-128
    • Cohn, J.H.E.1
  • 10
    • 0001253056 scopus 로고    scopus 로고
    • Some new two-level saturated designs
    • R.B. Crosier Some new two-level saturated designs J. Quality Technol. 32 2000 103-110
    • (2000) J. Quality Technol. , vol.32 , pp. 103-110
    • Crosier, R.B.1
  • 11
    • 0042547044 scopus 로고    scopus 로고
    • Saturated main-effect designs for factorial experiments
    • A.M. Dean N.R. Draper Saturated main-effect designs for factorial experiments Statist. Comput. 9 1999 179-185
    • (1999) Statist. Comput. , vol.9 , pp. 179-185
    • Dean, A.M.1    Draper, N.R.2
  • 13
    • 0001767925 scopus 로고
    • Determinantenabschätzungen für binäre Matrizen
    • H. Ehlich Determinantenabschätzungen für binäre Matrizen Math. Z. 83 1964 123-132
    • (1964) Math. Z. , vol.83 , pp. 123-132
    • Ehlich, H.1
  • 15
    • 38249034084 scopus 로고
    • The excess of Hadamard matrices and optimal designs
    • N. Farmakis S. Kounias The excess of Hadamard matrices and optimal designs Discrete Math. 67 1987 165-176
    • (1987) Discrete Math. , vol.67 , pp. 165-176
    • Farmakis, N.1    Kounias, S.2
  • 16
    • 0001206398 scopus 로고
    • D-optimum weighing designs
    • Z. Galil J. Kiefer D-optimum weighing designs Ann. Statist. 8 1980 1293-1306
    • (1980) Ann. Statist. , vol.8 , pp. 1293-1306
    • Galil, Z.1    Kiefer, J.2
  • 17
    • 0242605031 scopus 로고    scopus 로고
    • Projective properties of small Hadamard matrices and fractional factorial designs
    • D. Goh D.J. Street Projective properties of small Hadamard matrices and fractional factorial designs J. Combin. Math. Combin. Comput. 28 1998 141-148
    • (1998) J. Combin. Math. Combin. Comput. , vol.28 , pp. 141-148
    • Goh, D.1    Street, D.J.2
  • 18
    • 0031283690 scopus 로고    scopus 로고
    • On almost D-optimal first order saturated designs and their efficiency
    • C. Koukouvinos On almost D-optimal first order saturated designs and their efficiency Util. Math. 52 1997 113-121
    • (1997) Util. Math. , vol.52 , pp. 113-121
    • Koukouvinos, C.1
  • 19
    • 0000871520 scopus 로고
    • Another look at first-order saturated designs: The p-efficient designs
    • (Correction: 37, p. 473)
    • D.K.J. Lin Another look at first-order saturated designs: The p-efficient designs Technometrics 35 1993 284-292 (Correction: 37, p. 473)
    • (1993) Technometrics , vol.35 , pp. 284-292
    • Lin, D.K.J.1
  • 20
    • 84944477553 scopus 로고
    • Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation
    • D.W. Marquardt Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation Technometrics 12 1970 591-612
    • (1970) Technometrics , vol.12 , pp. 591-612
    • Marquardt, D.W.1
  • 21
    • 0016061635 scopus 로고
    • Computer construction of D-optimal first-order designs
    • T.J. Mitchell Computer construction of D-optimal first-order designs Technometrics. 16 1974 211-220
    • (1974) Technometrics , vol.16 , pp. 211-220
    • Mitchell, T.J.1
  • 23
    • 0001120063 scopus 로고
    • On Hotelling's weighing problem
    • A.M. Mood On Hotelling's weighing problem Ann. Math. Statist. 17 1946 432-446
    • (1946) Ann. Math. Statist. , vol.17 , pp. 432-446
    • Mood, A.M.1
  • 24
    • 0003019045 scopus 로고
    • The exact D-optimal first order saturated design with 17 observations
    • C. Moyssiadis S. Kounias The exact D-optimal first order saturated design with 17 observations J. Statist. Plann. Inference 7 1982 13-27
    • (1982) J. Statist. Plann. Inference , vol.7 , pp. 13-27
    • Moyssiadis, C.1    Kounias, S.2
  • 25
    • 0030087174 scopus 로고    scopus 로고
    • An algorithmic approach to constructing supersaturated designs
    • N.-K. Nguyen An algorithmic approach to constructing supersaturated designs Technometrics 38 1996 69-73
    • (1996) Technometrics , vol.38 , pp. 69-73
    • Nguyen, N.-K.1
  • 26
    • 25144517470 scopus 로고    scopus 로고
    • The Hadamard maximal determinant problem
    • Orrick, W.P., Solomon, B. The Hadamard maximal determinant problem, http://www.indiana.edu/~maxdet
    • Orrick, W.P.1    Solomon, B.2
  • 27
    • 25144516912 scopus 로고    scopus 로고
    • New lower bounds for the maximal determinant problem
    • preprint
    • Orrick, W.P., Solomon, B., Dowdeswell, R., Smith, W.D., 2003. New lower bounds for the maximal determinant problem, http://www.arxiv.org/abs/math.CO/0304410, preprint.
    • (2003)
    • Orrick, W.P.1    Solomon, B.2    Dowdeswell, R.3    Smith, W.D.4
  • 28
    • 0142162818 scopus 로고    scopus 로고
    • Some new symmetric designs with λ = 10 having an automorphism of order 5
    • M.-O. Pavčević E. Spence Some new symmetric designs with λ = 10 having an automorphism of order 5 Discrete Math. 196 1999 257-266
    • (1999) Discrete Math. , vol.196 , pp. 257-266
    • Pavčević, M.-O.1    Spence, E.2
  • 29
    • 0001131698 scopus 로고
    • The design of optimum multifactorial experiments
    • R.L. Plackett J.P. Burman The design of optimum multifactorial experiments Biometrika 33 1946 305-325
    • (1946) Biometrika , vol.33 , pp. 305-325
    • Plackett, R.L.1    Burman, J.P.2
  • 31
    • 0000214411 scopus 로고
    • Some optimum weighing designs
    • D. Raghavarao Some optimum weighing designs Ann. Math. Statist. 30 1959 295-303
    • (1959) Ann. Math. Statist. , vol.30 , pp. 295-303
    • Raghavarao, D.1
  • 32
    • 18544366927 scopus 로고
    • Weighing designs when n is odd
    • M.B. Rao Weighing designs when n is odd Ann. Math. Statist. 37 1966 1371-1381
    • (1966) Ann. Math. Statist. , vol.37 , pp. 1371-1381
    • Rao, M.B.1
  • 33
    • 0004076237 scopus 로고
    • Studies in computational geometry motivated by mesh generation
    • Ph.D. Dissertation, Princeton University
    • Smith, W.D., 1988. Studies in computational geometry motivated by mesh generation. Ph.D. Dissertation, Princeton University.
    • (1988)
    • Smith, W.D.1
  • 34
    • 84968486201 scopus 로고
    • Some designs for maximizing (+1,-1) determinant of order n≡ 2 (mod 4)
    • C.H. Yang Some designs for maximizing (+1,-1) determinant of order n≡ 2 (mod 4) Math. Comput. 20 1966 147-148
    • (1966) Math. Comput. , vol.20 , pp. 147-148
    • Yang, C.H.1
  • 35
    • 84968464860 scopus 로고
    • A construction for maximal (+1,-1)-matrix of order 54
    • C.H. Yang A construction for maximal (+1,-1)-matrix of order 54 Bull. Amer. Math. Soc. 72 1966 293
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 293
    • Yang, C.H.1
  • 36
    • 84968473045 scopus 로고
    • On designs of maximal (+1,-1)-matrices of order n≡ 2 (mod 4)
    • C.H. Yang On designs of maximal (+1,-1)-matrices of order n ≡ 2 (mod 4) Math. Comput. 22 1968 174-180
    • (1968) Math. Comput. , vol.22 , pp. 174-180
    • Yang, C.H.1
  • 37
    • 84968470204 scopus 로고
    • On designs of maximal (+1,-1)-matrices of order n≡ 2 (mod 4), II
    • C.H. Yang On designs of maximal (+1,-1)-matrices of order n ≡ 2 (mod 4), II Math. Comput. 23 1969 201-205
    • (1969) Math. Comput. , vol.23 , pp. 201-205
    • Yang, C.H.1
  • 38
    • 84966210030 scopus 로고
    • Maximal binary matrices and sum of two squares
    • C.H. Yang Maximal binary matrices and sum of two squares Math. Comput. 30 1976 148-153
    • (1976) Math. Comput. , vol.30 , pp. 148-153
    • Yang, C.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.