메뉴 건너뛰기




Volumn 1, Issue 1, 2007, Pages 101-115

On the geometric equivalence and non-equivalence of symmetric factorial designs

Author keywords

Deseq algorithm; Design equivalence; Design isomorphism; Factorial experiment; Geometric equivalence; Indicator function

Indexed keywords


EID: 85011164207     PISSN: 15598608     EISSN: 15598616     Source Type: Journal    
DOI: 10.1080/15598608.2007.10411827     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 10044233115 scopus 로고    scopus 로고
    • Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs
    • Ai, M.Y., Zhang, R.C., 2004. Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs. Metrika 60, 279–285.
    • (2004) Metrika , vol.60 , pp. 279-285
    • Ai, M.Y.1    Zhang, R.C.2
  • 2
    • 21344495645 scopus 로고
    • A catalogue of two-level and three-level fractional factorial designs with small runs
    • Chen, J., Sun, D.X., Wu, C.F.J., 1993. A catalogue of two-level and three-level fractional factorial designs with small runs. International Statistical Review 61, 131–145.
    • (1993) International Statistical Review , vol.61 , pp. 131-145
    • Chen, J.1    Sun, D.X.2    Wu, C.F.J.3
  • 3
    • 12344337993 scopus 로고    scopus 로고
    • Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
    • Cheng, S. W., Ye, K.Q., 2004. Geometric isomorphism and minimum aberration for factorial designs with quantitative factors. Ann. Statist. 32, 2168–2185.
    • (2004) Ann. Statist , vol.32 , pp. 2168-2185
    • Cheng, S.W.1    Ye, K.Q.2
  • 4
    • 0035591023 scopus 로고    scopus 로고
    • Equivalence of fractional factorial designs
    • Clark, J. B., Dean, A.M., 2001. Equivalence of fractional factorial designs. Statistica Sinica 11, 537–547.
    • (2001) Statistica Sinica , vol.11 , pp. 537-547
    • Clark, J.B.1    Dean, A.M.2
  • 5
    • 0036567171 scopus 로고    scopus 로고
    • Design selection and classification for Hadamard matrices using generalized minimum aberration criteria
    • Deng, L.Y., Tang, B., 2002. Design selection and classification for Hadamard matrices using generalized minimum aberration criteria. Technometrics 44, 173–184.
    • (2002) Technometrics , vol.44 , pp. 173-184
    • Deng, L.Y.1    Tang, B.2
  • 7
    • 0007546531 scopus 로고
    • Construction of the set of 256-run designs of resolution ≥5 and the set of even 512-run designs of resolution ≥6 with special reference to the unique saturated designs
    • Draper, N.R. Mitchell, T.J., 1968. Construction of the set of 256-run designs of resolution ≥ 5 and the set of even 512-run designs of resolution ≥ 6 with special reference to the unique saturated designs. Ann. Math. Statist. 39, 246–255.
    • (1968) Ann. Math. Statist , vol.39 , pp. 246-255
    • Draper, N.R.M.1
  • 8
    • 0001335240 scopus 로고
    • Construction of a set of 512-run designs of resolution ≥5 and a set of even 1024-run designs of resolution ≥6
    • Draper, N.R., Mitchell, T.J., 1970. Construction of a set of 512-run designs of resolution ≥ 5 and a set of even 1024-run designs of resolution ≥ 6. Ann. Math. Statist. 41, 876–887.
    • (1970) Ann. Math. Statist , vol.41 , pp. 876-887
    • Draper, N.R.1    Mitchell, T.J.2
  • 9
    • 26444565674 scopus 로고    scopus 로고
    • Projection properties of certain three level orthogonal arrays
    • Evangelaras, H., Koukouvinos, C., Dean, A.M., Dingus, C.A., 2005. Projection properties of certain three level orthogonal arrays. Metrika 62, 241–257.
    • (2005) Metrika , vol.62 , pp. 241-257
    • Evangelaras, H.1    Koukouvinos, C.2    Dean, A.M.3    Dingus, C.A.4
  • 11
    • 0032345316 scopus 로고    scopus 로고
    • A generalized discrepancy and quadrature error bound
    • Hickernell, F.J., 1998. A generalized discrepancy and quadrature error bound. Math. Computation 67, 299–322.
    • (1998) Math. Computation , vol.67 , pp. 299-322
    • Hickernell, F.J.1
  • 13
    • 85011204559 scopus 로고    scopus 로고
    • A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs
    • Katsaounis, T.I., Dean, A.M., 2007. A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs. J. Statist. Plann. Inf. In press.
    • (2007) J. Statist. Plann. Inf
    • Katsaounis, T.I.1    Dean, A.M.2
  • 14
    • 0035294739 scopus 로고    scopus 로고
    • On the isomorphism of fractional factorial designs
    • Ma, C.X., Fang, K.T., Lin, D.K.J., 2001. On the isomorphism of fractional factorial designs. Journal of Complexity 17, 86–97.
    • (2001) Journal of Complexity , vol.17 , pp. 86-97
    • Ma, C.X.1    Fang, K.T.2    Lin, D.K.J.3
  • 16
    • 0012634396 scopus 로고    scopus 로고
    • Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration
    • Tang, B., 2001. Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration. Biometrika 88, 401–407.
    • (2001) Biometrika , vol.88 , pp. 401-407
    • Tang, B.1
  • 17
    • 0141796406 scopus 로고    scopus 로고
    • Minimum moment aberration for nonregular designs and supersaturated designs
    • Xu, H., 2003. Minimum moment aberration for nonregular designs and supersaturated designs. Statistica Sinica 13, 691–708.
    • (2003) Statistica Sinica , vol.13 , pp. 691-708
    • Xu, H.1
  • 18
    • 26444570265 scopus 로고    scopus 로고
    • A catalogue of three-level regular fractional factorial designs
    • Xu, H., 2005. A catalogue of three-level regular fractional factorial designs. Metrika 62, 259–281.
    • (2005) Metrika , vol.62 , pp. 259-281
    • Xu, H.1
  • 19
    • 18944405824 scopus 로고    scopus 로고
    • Moment aberration projection for nonregular fractional factorial designs
    • Xu, H., Deng, L.Y., 2005. Moment aberration projection for nonregular fractional factorial designs. Technometrics 47, 121–131.
    • (2005) Technometrics , vol.47 , pp. 121-131
    • Xu, H.1    Deng, L.Y.2
  • 20
    • 0042812369 scopus 로고    scopus 로고
    • Indicator function and its application in two-level factorial designs
    • Ye, K.Q., 2003. Indicator function and its application in two-level factorial designs. Ann. Statist. 31, 984–994.
    • (2003) Ann. Statist , vol.31 , pp. 984-994
    • Ye, K.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.