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Volumn 87, Issue 1, 2000, Pages 149-172

Classification of two-level factorial fractions

Author keywords

13P10; 62K15; 65U05; Factorial designs; Fractional factorial designs; Gr bner bases; Orthogonal designs; Two level designs

Indexed keywords


EID: 0041827671     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(99)00173-1     Document Type: Article
Times cited : (84)

References (28)
  • 1
    • 0003611980 scopus 로고
    • Graduate Studies in Mathematics. American Mathematical Society, Providence, RI
    • Adams, W.W., Loustaunau, P., 1994. An Introduction to Gröbner Bases. Graduate Studies in Mathematics. American Mathematical Society, Providence, RI.
    • (1994) An Introduction to Gröbner Bases
    • Adams, W.W.1    Loustaunau, P.2
  • 2
    • 84863136881 scopus 로고
    • k-p fractional factorial design
    • 449-458.
    • k-p fractional factorial design. Technometrics 3(1) 311-351, 449-458.
    • (1961) Technometrics , vol.3 , Issue.1 , pp. 311-351
    • Box, G.E.P.1    Hunter, J.S.2
  • 4
    • 0042019630 scopus 로고    scopus 로고
    • The fan of an experimental design
    • Department of Statistics, University of Warwick
    • Caboara, M., Pistone, G., Riccomagno, E., Wynn, H.P., 1997. The fan of an experimental design. Technical Report. Department of Statistics, University of Warwick.
    • (1997) Technical Report
    • Caboara, M.1    Pistone, G.2    Riccomagno, E.3    Wynn, H.P.4
  • 5
    • 0039305477 scopus 로고    scopus 로고
    • An algebraic computational approach to the identifiability of Fourier models
    • to appear
    • Caboara, M., Riccomagno, E., 1997. An algebraic computational approach to the identifiability of Fourier models. J. Symb. Comput., to appear.
    • (1997) J. Symb. Comput.
    • Caboara, M.1    Riccomagno, E.2
  • 6
    • 0030651028 scopus 로고    scopus 로고
    • Families of ideals in statistics
    • In: Küchlin (Ed.), ACM Press, New York
    • Caboara, M., Robbiano, L., 1997. Families of ideals in statistics. In: Küchlin (Ed.), Proceedings of ISSAC '97. ACM Press, New York, pp. 404-409.
    • (1997) Proceedings of ISSAC '97 , pp. 404-409
    • Caboara, M.1    Robbiano, L.2
  • 9
    • 0042863882 scopus 로고    scopus 로고
    • Plans D' Expérience Factoriels. Construction et propriétés des fractions de plans
    • Springer, Paris
    • Collombier, D., 1996. Plans D' Expérience Factoriels. Construction et propriétés des fractions de plans. In Mathématiques et Applications, Vol. 21. Springer, Paris.
    • (1996) In Mathématiques et Applications , vol.21
    • Collombier, D.1
  • 11
    • 0042019623 scopus 로고
    • Misti: Un algoritmo per la costruzione di piani fattoriali frazionari regolari
    • Fontana R. Misti: un algoritmo per la costruzione di piani fattoriali frazionari regolari. Statist. Appl. 7(1):1995;49-77.
    • (1995) Statist. Appl. , vol.7 , Issue.1 , pp. 49-77
    • Fontana, R.1
  • 12
    • 0041518668 scopus 로고    scopus 로고
    • An algorithmic approach to DOE - Algebraic methods
    • In: Mahrenholtz, O., Marti, K., Mennicken, R. (Eds.), Akademie Verlag, Berlin
    • Fontana, R., 1996. An algorithmic approach to DOE - Algebraic methods. In: Mahrenholtz, O., Marti, K., Mennicken, R. (Eds.), ICIAM / GAMM. Issue 3: Applied Statistics and Optimization. Akademie Verlag, Berlin, pp. 97-100.
    • (1996) ICIAM / GAMM. Issue 3: Applied Statistics and Optimization , pp. 97-100
    • Fontana, R.1
  • 13
    • 24544449627 scopus 로고    scopus 로고
    • Algebraic analysis and generation of two-levels designs
    • Dipartimento di Matematica del Politecnico di Torino
    • Fontana, R., Pistone, G., Rogantin, M.-P., 1996. Algebraic analysis and generation of two-levels designs. Rapporto interno 25 / 96. Dipartimento di Matematica del Politecnico di Torino.
    • (1996) Rapporto Interno , vol.25-96
    • Fontana, R.1    Pistone, G.2    Rogantin, M.-P.3
  • 14
    • 0039305476 scopus 로고    scopus 로고
    • Algebraic analysis and generation of two-levels designs
    • Fontana R., Pistone G., Rogantin M.-P. Algebraic analysis and generation of two-levels designs. Statist. Appl. 9(1):1997;15-29.
    • (1997) Statist. Appl. , vol.9 , Issue.1 , pp. 15-29
    • Fontana, R.1    Pistone, G.2    Rogantin, M.-P.3
  • 16
    • 0000885832 scopus 로고
    • Selection of defining contrasts and confounded effects in two-level experiments
    • Franklin M.F., Bailey R.A. Selection of defining contrasts and confounded effects in two-level experiments. Appl. Statist. 26:1977;321-326.
    • (1977) Appl. Statist. , vol.26 , pp. 321-326
    • Franklin, M.F.1    Bailey, R.A.2
  • 17
    • 0004242163 scopus 로고
    • A Calculus for Factorial Arrangements
    • Springer, Berlin
    • Gupta, S., Mukerjee, R., 1989. A Calculus for Factorial Arrangements. Lecture Notes in Statistics, Vol. 59. Springer, Berlin.
    • (1989) Lecture Notes in Statistics , vol.59
    • Gupta, S.1    Mukerjee, R.2
  • 18
    • 0043021529 scopus 로고    scopus 로고
    • The application of algebraic geometry to the design and analysis of experiments: A case study
    • Holliday, T., Pistone, G., Riccomagno, E., Wynn, H.P., 1999. The application of algebraic geometry to the design and analysis of experiments: a case study. Comput. Statist. 14(2).
    • (1999) Comput. Statist. , vol.14 , Issue.2
    • Holliday, T.1    Pistone, G.2    Riccomagno, E.3    Wynn, H.P.4
  • 20
    • 21844504222 scopus 로고
    • Lattice sampling revisited: Monte Carlo variance of means over randomized orthogonal arrays
    • Owen A.B. Lattice sampling revisited: Monte Carlo variance of means over randomized orthogonal arrays. Ann. Statist. 22(2):1994;930-945.
    • (1994) Ann. Statist. , vol.22 , Issue.2 , pp. 930-945
    • Owen, A.B.1
  • 21
    • 0042019626 scopus 로고    scopus 로고
    • An algorithmic approach to DOE: Geometrical methods
    • In: Mahrenholtz, O., Marti, K., Mennicken, R. (Eds.), Akademie Verlag, Berlin
    • Pistone, G., 1996. An algorithmic approach to DOE: Geometrical methods. In: Mahrenholtz, O., Marti, K., Mennicken, R. (Eds.), ICIAM / GAMM. Issue 3: Applied Statistics and Optimization. Akademie Verlag, Berlin, pp. 101-104.
    • (1996) ICIAM / GAMM. Issue 3: Applied Statistics and Optimization , pp. 101-104
    • Pistone, G.1
  • 22
    • 0000462026 scopus 로고    scopus 로고
    • Generalised confounding with Gröbner bases
    • Pistone G., Wynn H.P. Generalised confounding with Gröbner bases. Biometrika. 83(1):1996;653-666.
    • (1996) Biometrika , vol.83 , Issue.1 , pp. 653-666
    • Pistone, G.1    Wynn, H.P.2
  • 23
    • 0001131698 scopus 로고
    • The design of optimum multifactorial experiments
    • Plackett R., Burman J. The design of optimum multifactorial experiments. Biometrika. 33:1946;305-325.
    • (1946) Biometrika , vol.33 , pp. 305-325
    • Plackett, R.1    Burman, J.2
  • 26
    • 0002989569 scopus 로고    scopus 로고
    • Gröbner bases and statistics
    • In: Buchberger, B., Winkler, F. (Eds.), Gröbner Bases and Applications (Proceedings of the Conference on 33 Years of Gröbner Bases) Cambridge University Press, Cambridge
    • Robbiano, L., 1998. Gröbner bases and statistics. In: Buchberger, B., Winkler, F. (Eds.), Gröbner Bases and Applications (Proceedings of the Conference on 33 Years of Gröbner Bases). London Mathematical Society Lecture Notes, Vol. 251. Cambridge University Press, Cambridge, pp. 179-204.
    • (1998) London Mathematical Society Lecture Notes , vol.251 , pp. 179-204
    • Robbiano, L.1
  • 27
    • 0002986367 scopus 로고    scopus 로고
    • Full factorial designs and distracted fractions
    • In: Buchberger, B., Winkler, F. (Eds.), Gröbner Bases and Applications (Proceedings of the Conference on 33 Years of Gröbner Bases) Cambridge University Press, Cambridge
    • Robbiano, L., Rogantin, M.-P., 1998. Full factorial designs and distracted fractions. In: Buchberger, B., Winkler, F. (Eds.), Gröbner Bases and Applications (Proceedings of the Conference on 33 Years of Gröbner Bases). London Mathematical Society Lecture Notes Series, Vol. 251. Cambridge University Press, Cambridge, pp. 473-482.
    • (1998) London Mathematical Society Lecture Notes Series , vol.251 , pp. 473-482
    • Robbiano, L.1    Rogantin, M.-P.2
  • 28
    • 0006197897 scopus 로고
    • Statistical properties of Hadamard matrices of order 16
    • In: Kuo, W. (Ed.), Elsevier Science Publishers, Amsterdam
    • Sun, X.D., Wu, C.F.J., 1993. Statistical properties of Hadamard matrices of order 16. In: Kuo, W. (Ed.), Quality Through Engineering Design. Elsevier Science Publishers, Amsterdam, pp. 169-179.
    • (1993) Quality Through Engineering Design , pp. 169-179
    • Sun, X.D.1    Wu, C.F.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.