메뉴 건너뛰기




Volumn 62, Issue 2, 2000, Pages 209-256

Invariance and factorial models

Author keywords

Analysis of variance; Category representation; Diallel cross; Group representation; Homologous factors; Isomorphic representations; Lattice; Marginality; Mendelian inheritance; Nested design; Quotient space; Replication invariance; Selection invariance

Indexed keywords


EID: 0034360367     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00229     Document Type: Article
Times cited : (17)

References (51)
  • 1
    • 0021052738 scopus 로고
    • Testing marginal homogeneity for ordinal categorical variables
    • Agresti, A. (1983) Testing marginal homogeneity for ordinal categorical variables. Biometrics, 39, 505-510.
    • (1983) Biometrics , vol.39 , pp. 505-510
    • Agresti, A.1
  • 2
    • 0002213302 scopus 로고
    • Strata for randomized experiments
    • Bailey, R. A. (1991) Strata for randomized experiments (with discussion). J. R. Statist. Soc. B, 53, 27-78.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 27-78
    • Bailey, R.A.1
  • 3
    • 0002309888 scopus 로고    scopus 로고
    • Orthogonal partitions in designed experiments
    • -(1996) Orthogonal partitions in designed experiments. Des. Codes Cryptogr., 8, 45-77.
    • (1996) Des. Codes Cryptogr. , pp. 45-77
  • 4
    • 0001024436 scopus 로고
    • A note on the equivalence of two test criteria for hypotheses in categorical data
    • Bhapkar, V. P. (1966) A note on the equivalence of two test criteria for hypotheses in categorical data. J. Am. Statist. Ass., 61, 228-235.
    • (1966) J. Am. Statist. Ass. , vol.61 , pp. 228-235
    • Bhapkar, V.P.1
  • 5
    • 0016331396 scopus 로고
    • Linear transformations for multivariate binary data
    • Bloomfield, P. (1974) Linear transformations for multivariate binary data. Biometrics, 30, 609-617.
    • (1974) Biometrics , vol.30 , pp. 609-617
    • Bloomfield, P.1
  • 6
    • 0000133998 scopus 로고
    • An analysis of transformations
    • Box, G. E. P. and Cox, D. R. (1964) An analysis of transformations (with discussion). J. R. Statist. Soc. B, 26, 211-252.
    • (1964) J. R. Statist. Soc. B , vol.26 , pp. 211-252
    • Box, G.E.P.1    Cox, D.R.2
  • 7
    • 0001667583 scopus 로고
    • Rank analysis of incomplete block designs
    • Bradley, R. A. and Terry, M. A. (1952) Rank analysis of incomplete block designs. Biometrika, 39, 324-345.
    • (1952) Biometrika , vol.39 , pp. 324-345
    • Bradley, R.A.1    Terry, M.A.2
  • 8
    • 0002678262 scopus 로고
    • Contribution à l'analyse statistique des tableaux de correlation
    • Caussinus, H. (1965) Contribution à l'analyse statistique des tableaux de correlation. Ann. Fac. Sci. Univ. Toul., 29, 77-182.
    • (1965) Ann. Fac. Sci. Univ. Toul. , vol.29 , pp. 77-182
    • Caussinus, H.1
  • 9
    • 0000183289 scopus 로고
    • The analysis of multivariate binary data
    • Cox, D. R. (1972) The analysis of multivariate binary data. Appl. Statist., 21, 113-120.
    • (1972) Appl. Statist. , vol.21 , pp. 113-120
    • Cox, D.R.1
  • 11
    • 0017738624 scopus 로고
    • Invariant distributions and analysis of variance models
    • Dawid, A. P. (1977) Invariant distributions and analysis of variance models. Biometrika, 64, 291-297.
    • (1977) Biometrika , vol.64 , pp. 291-297
    • Dawid, A.P.1
  • 12
    • 0003376614 scopus 로고
    • Symmetry models and hypotheses for structured data layouts
    • -(1988) Symmetry models and hypotheses for structured data layouts (with discussion). J. R. Statist. Soc. B, 50, 1-34.
    • (1988) J. R. Statist. Soc. B , vol.50 , pp. 1-34
  • 13
    • 0003212162 scopus 로고
    • Group representations in probability and statistics
    • Diaconis, P. (1988) Group representations in probability and statistics. Inst. Math. Statist. Lect. Notes, 11.
    • (1988) Inst. Math. Statist. Lect. Notes , vol.11
    • Diaconis, P.1
  • 14
    • 0000813623 scopus 로고
    • A generalization of spectral analysis with application to ranked data
    • -(1989) A generalization of spectral analysis with application to ranked data. Ann. Statist., 17, 949-979.
    • (1989) Ann. Statist. , vol.17 , pp. 949-979
  • 15
    • 0002335471 scopus 로고
    • Marginal homogeneity and the superposition of latin squares
    • Firth, D. (1989) Marginal homogeneity and the superposition of latin squares. Biometrika, 76, 179-182.
    • (1989) Biometrika , vol.76 , pp. 179-182
    • Firth, D.1
  • 16
    • 0002201443 scopus 로고
    • On the homogeneity of the marginal distributions of a multidimensional contingency table
    • Fryer, J. G. (1971) On the homogeneity of the marginal distributions of a multidimensional contingency table. J. R. Statist. Soc. A, 134, 368-371.
    • (1971) J. R. Statist. Soc. A , vol.134 , pp. 368-371
    • Fryer, J.G.1
  • 19
    • 0000407668 scopus 로고
    • Concept of general and specific combining ability in relation to diallel crossing systems
    • Griffing, B. (1956) Concept of general and specific combining ability in relation to diallel crossing systems. Aust. J. Biol. Sci., 9, 463-493.
    • (1956) Aust. J. Biol. Sci. , vol.9 , pp. 463-493
    • Griffing, B.1
  • 21
    • 0001122511 scopus 로고
    • Analysis of designed experiments with complex aliasing
    • Hamada, M. and Wu, C. F. J. (1992) Analysis of designed experiments with complex aliasing. J. Qual. Technol., 24, 130-137.
    • (1992) J. Qual. Technol. , vol.24 , pp. 130-137
    • Hamada, M.1    Wu, C.F.J.2
  • 23
    • 0002214091 scopus 로고
    • Marginal homogeneity of multidimensional contingency tables
    • Kullback, S. (1971) Marginal homogeneity of multidimensional contingency tables. Ann. Math. Statist., 42, 594-606.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 594-606
    • Kullback, S.1
  • 24
    • 0028891459 scopus 로고
    • Genetics of seed dormancy in Papaver rhoeas
    • Lane, M. D. and Lawrence, M. J. (1995) Genetics of seed dormancy in Papaver rhoeas. Heredity, 75, 84-91.
    • (1995) Heredity , vol.75 , pp. 84-91
    • Lane, M.D.1    Lawrence, M.J.2
  • 26
    • 0002021523 scopus 로고
    • The uses and limits of linear models
    • Lindsey, J. K. (1995) The uses and limits of linear models. Statist. Comput., 5, 87-98.
    • (1995) Statist. Comput. , vol.5 , pp. 87-98
    • Lindsey, J.K.1
  • 27
    • 0002153223 scopus 로고
    • Finding the design matrix for the marginal homogeneity model
    • Lipsitz, S. R., Laird, N. and Harrington, D. P. (1990) Finding the design matrix for the marginal homogeneity model. Biometrika, 77, 353-358.
    • (1990) Biometrika , vol.77 , pp. 353-358
    • Lipsitz, S.R.1    Laird, N.2    Harrington, D.P.3
  • 32
    • 0000488182 scopus 로고
    • Some applications of quasisymmetry
    • McCullagh, P. (1982) Some applications of quasisymmetry. Biometrika, 69, 303-308.
    • (1982) Biometrika , vol.69 , pp. 303-308
    • McCullagh, P.1
  • 33
    • 0002140756 scopus 로고    scopus 로고
    • Technical Report 475. Department of Statistics, University of Chicago, Chicago
    • -(1998) Category representations and factorial models. Technical Report 475. Department of Statistics, University of Chicago, Chicago.
    • (1998) Category Representations and Factorial Models
  • 34
    • 0033274775 scopus 로고    scopus 로고
    • Quotient spaces and statistical models
    • to be published
    • -(1999) Quotient spaces and statistical models. Can. J. Statist., to be published.
    • (1999) Can. J. Statist.
  • 37
    • 0002534858 scopus 로고
    • A reformulation of linear models
    • Neider, J. A. (1977) A reformulation of linear models (with discussion). J. R. Statist. Soc. A, 140, 48-77.
    • (1977) J. R. Statist. Soc. A , vol.140 , pp. 48-77
    • Neider, J.A.1
  • 38
    • 0000076874 scopus 로고
    • The statistics of linear models: Back to basics
    • -(1994) The statistics of linear models: back to basics. Statist. Comput., 4, 221-234.
    • (1994) Statist. Comput. , vol.4 , pp. 221-234
  • 41
    • 0000378370 scopus 로고
    • What is an analysis of variance?
    • Speed, T. P. (1987) What is an analysis of variance (with discussion)? Ann. Statist., 15, 885-941.
    • (1987) Ann. Statist. , vol.15 , pp. 885-941
    • Speed, T.P.1
  • 42
    • 0002012668 scopus 로고
    • Factorial dispersion models
    • Speed, T. P. and Bailey, R. A. (1987) Factorial dispersion models. Int. Statist. Rev., 55, 261-277.
    • (1987) Int. Statist. Rev. , vol.55 , pp. 261-277
    • Speed, T.P.1    Bailey, R.A.2
  • 43
    • 0002314384 scopus 로고
    • Demographic gravitation: Evidence and applications
    • Stewart, J. Q. (1948) Demographic gravitation: evidence and applications. Sociometry, 1, 31-58.
    • (1948) Sociometry , vol.1 , pp. 31-58
    • Stewart, J.Q.1
  • 44
    • 33847463005 scopus 로고
    • Citation patterns in the journals of statistics and probability
    • Stigler, S. (1994) Citation patterns in the journals of statistics and probability. Statist. Sci., 9, 94-108.
    • (1994) Statist. Sci. , vol.9 , pp. 94-108
    • Stigler, S.1
  • 45
    • 0001298347 scopus 로고
    • The estimation and comparison of strengths of association in contingency tables
    • Stuart, A. (1953) The estimation and comparison of strengths of association in contingency tables. Biometrika, 40, 105-110.
    • (1953) Biometrika , vol.40 , pp. 105-110
    • Stuart, A.1
  • 46
    • 84981981465 scopus 로고
    • A test for homogeneity of the marginal distributions in a two-way classification
    • -(1955) A test for homogeneity of the marginal distributions in a two-way classification. Biometrika, 42, 412-416.
    • (1955) Biometrika , vol.42 , pp. 412-416
  • 47
    • 0002868387 scopus 로고
    • Analysis of variance models in orthogonal designs
    • Tjur, T. (1984) Analysis of variance models in orthogonal designs (with discussion). Int. Statist. Rev., 52, 33-81.
    • (1984) Int. Statist. Rev. , vol.52 , pp. 33-81
    • Tjur, T.1
  • 48
    • 5244269188 scopus 로고
    • Modelling cross-tabulated regional data
    • (ed. P. Nijkamp), Dordrecht: Nato
    • Upton, G. J. G. (1985) Modelling cross-tabulated regional data. In Measuring the Unmeasurable (ed. P. Nijkamp), pp. 197-218. Dordrecht: Nato.
    • (1985) Measuring the Unmeasurable , pp. 197-218
    • Upton, G.J.G.1
  • 49
    • 0002436414 scopus 로고
    • A note on the equivalence of several marginal homogeneity test criteria for categorical data
    • White, A. A., Landis, J. R. and Cooper, M. M. (1982) A note on the equivalence of several marginal homogeneity test criteria for categorical data. Int. Statist. Rev., 50, 27-34.
    • (1982) Int. Statist. Rev. , vol.50 , pp. 27-34
    • White, A.A.1    Landis, J.R.2    Cooper, M.M.3
  • 50
    • 0015727259 scopus 로고
    • Symbolic description of factorial models for analysis of variance
    • Wilkinson, G. N. and Rogers, C. E. (1973) Symbolic description of factorial models for analysis of variance. Appl. Statist., 22, 392-399.
    • (1973) Appl. Statist. , vol.22 , pp. 392-399
    • Wilkinson, G.N.1    Rogers, C.E.2
  • 51
    • 84966171297 scopus 로고
    • Analysis of data from all possible reciprocal crosses between a set of parental lines
    • Yates, F. (1947) Analysis of data from all possible reciprocal crosses between a set of parental lines. Heredity, 1, 287-301.
    • (1947) Heredity , vol.1 , pp. 287-301
    • Yates, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.