메뉴 건너뛰기




Volumn 59, Issue 1, 1997, Pages 61-78

Continuity corrected approximations for and 'exact' inference with Pearson's X2

Author keywords

Contingency tables; Diagnostics; Fr chet class; Moment approximations

Indexed keywords


EID: 0031537106     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(96)00091-2     Document Type: Article
Times cited : (6)

References (42)
  • 2
    • 84972545970 scopus 로고
    • A survey of exact inference for contingency tables
    • Agresti, A. (1992). A survey of exact inference for contingency tables. Statist. Sci. 7, 131-153.
    • (1992) Statist. Sci. , vol.7 , pp. 131-153
    • Agresti, A.1
  • 3
    • 84972492478 scopus 로고
    • Rejoinder to paper by Agresti
    • Agresti, A. (1992). Rejoinder to paper by Agresti. Statist. Sci. 7, 173-177.
    • (1992) Statist. Sci. , vol.7 , pp. 173-177
    • Agresti, A.1
  • 5
    • 0000821797 scopus 로고
    • A general distribution theory for a class of likelihood criteria
    • Box, G.E.P. (1949). A general distribution theory for a class of likelihood criteria. Biometrika 36, 317-352.
    • (1949) Biometrika , vol.36 , pp. 317-352
    • Box, G.E.P.1
  • 7
    • 0027849290 scopus 로고
    • A remark on algorithm 643: FEXACT: An algorithm for performing Fisher's exact test in r × c contingency tables
    • Clarkson, D.B., Y. Fan and H. Joe (1993). A remark on algorithm 643: FEXACT: an algorithm for performing Fisher's exact test in r × x c contingency tables. ACM Trans. Math. Software 19, 484-488.
    • (1993) ACM Trans. Math. Software , vol.19 , pp. 484-488
    • Clarkson, D.B.1    Fan, Y.2    Joe, H.3
  • 11
    • 0010820098 scopus 로고
    • A new approximation to the distribution of Pearson's chi-square
    • Davis, C.S. (1993). A new approximation to the distribution of Pearson's chi-square. Statistica Sinica 3, 189-196.
    • (1993) Statistica Sinica , vol.3 , pp. 189-196
    • Davis, C.S.1
  • 12
    • 0010828196 scopus 로고
    • 2-function on a contingency table
    • 2-function on a contingency table. Biometrika 41, 280.
    • (1954) Biometrika , vol.41 , pp. 280
    • Dawson, R.B.1
  • 13
  • 14
    • 0010825129 scopus 로고
    • The contributions of William Cochran to categorical data analysis
    • S.R.S. Rao and J. Sedransk, Eds. Wiley, New York
    • Fienberg, S.E. (1984). The contributions of William Cochran to categorical data analysis. In: S.R.S. Rao and J. Sedransk, Eds., W.G. Cochran's Impact on Statistics. Wiley, New York.
    • (1984) W.G. Cochran's Impact on Statistics
    • Fienberg, S.E.1
  • 15
    • 0002386913 scopus 로고
    • 2 from contingency tables, and on the calculation of P
    • 2 from contingency tables, and on the calculation of P. J. Roy. Statist. Soc. 85, 87-94.
    • (1922) J. Roy. Statist. Soc. , vol.85 , pp. 87-94
    • Fisher, R.A.1
  • 17
    • 0001621471 scopus 로고
    • Note on an exact treatment of contingency, goodness of fit and other problems of significance
    • Freeman, G.H. and J.H. Halton (1951). Note on an exact treatment of contingency, goodness of fit and other problems of significance. Biometrika 38, 141-149.
    • (1951) Biometrika , vol.38 , pp. 141-149
    • Freeman, G.H.1    Halton, J.H.2
  • 19
    • 0023519390 scopus 로고
    • Choice of column scores for testing independence in ordered 2 × K tables
    • Graubard, B.I. and E.L. Korn (1987). Choice of column scores for testing independence in ordered 2 × K tables. Biometrika 43, 471-476.
    • (1987) Biometrika , vol.43 , pp. 471-476
    • Graubard, B.I.1    Korn, E.L.2
  • 20
    • 0001917849 scopus 로고
    • Trial by number
    • Hacking, I. (1984). Trial by number. Science 84, 69-73.
    • (1984) Science , vol.84 , pp. 69-73
    • Hacking, I.1
  • 21
    • 0003177471 scopus 로고
    • 2, when used as a test of homogeneity, when expectations are small
    • 2, when used as a test of homogeneity, when expectations are small. Biometrika 31, 346-355.
    • (1940) Biometrika , vol.31 , pp. 346-355
    • Haldane, J.B.S.1
  • 23
    • 38249003741 scopus 로고
    • Sharp bounds for the maximum of the chi-square index in a class of contingency tables with given marginals
    • Kalantari, D., I. Lari, A. Rizzi and B. Simeone (1993). Sharp bounds for the maximum of the chi-square index in a class of contingency tables with given marginals. Comput. Statist. Data Anal. 16, 19-34.
    • (1993) Comput. Statist. Data Anal. , vol.16 , pp. 19-34
    • Kalantari, D.1    Lari, I.2    Rizzi, A.3    Simeone, B.4
  • 26
    • 0010945240 scopus 로고
    • 2 as a test of independence in contingency tables with small cell expectations
    • 2 as a test of independence in contingency tables with small cell expectations. Austral. J. Statist. 26, 75-85.
    • (1984) Austral. J. Statist. , vol.26 , pp. 75-85
    • Lawal, H.B.1    Upton, G.J.G.2
  • 28
    • 0010937872 scopus 로고
    • The moments of the Pearson chi-squared statistic and the minimum expected value in two-way tables
    • Correction (1989) 76, 407
    • Lewis, T., I.W. Saunders and M. Wescott (1984). The moments of the Pearson chi-squared statistic and the minimum expected value in two-way tables. Biometrika 71, 515-522. Correction (1989) 76, 407.
    • (1984) Biometrika , vol.71 , pp. 515-522
    • Lewis, T.1    Saunders, I.W.2    Wescott, M.3
  • 29
    • 0002652504 scopus 로고
    • On the asymptotic distribution of Pearson's statistic in linear exponential-family models
    • McCullagh, P. (1985). On the asymptotic distribution of Pearson's statistic in linear exponential-family models. Internat. Statist. Rev. 53, 61-67.
    • (1985) Internat. Statist. Rev. , vol.53 , pp. 61-67
    • McCullagh, P.1
  • 30
    • 84950435288 scopus 로고
    • A network algorithm for performing Fisher's exact test in r × c contingency tables
    • Mehta, C.R. and N.R. Patel (1983). A network algorithm for performing Fisher's exact test in r × c contingency tables. J. Amer. Statist. Assoc. 78, 427-434.
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 427-434
    • Mehta, C.R.1    Patel, N.R.2
  • 31
    • 0001328746 scopus 로고
    • A hybrid algorithm for Fisher's exact test in unordered r × c contingency tables
    • Mehta, C.R. and N.R. Patel (1986a). A hybrid algorithm for Fisher's exact test in unordered r × c contingency tables. Comm. Statist. A 15, 387-404.
    • (1986) Comm. Statist. A , vol.15 , pp. 387-404
    • Mehta, C.R.1    Patel, N.R.2
  • 32
    • 0022731304 scopus 로고
    • Algorithm 643-FEXACT: A FORTRAN subroutine for Fisher's exact test on unordered r × c contingency tables
    • Mehta, C.R. and N.R. Patel (1986b). Algorithm 643-FEXACT: a FORTRAN subroutine for Fisher's exact test on unordered r × c contingency tables. ACM Trans. Math. Software 12, 155-161.
    • (1986) ACM Trans. Math. Software , vol.12 , pp. 155-161
    • Mehta, C.R.1    Patel, N.R.2
  • 33
    • 0010885820 scopus 로고
    • Non-asymptotic inference based on the chi-square statistic for r by c contingency tables
    • Mielke, Jr., P.W. and K.J. Berry (1985). Non-asymptotic inference based on the chi-square statistic for r by c contingency tables. J. Statist. Plann. Inference 12, 41-45.
    • (1985) J. Statist. Plann. Inference , vol.12 , pp. 41-45
    • Mielke P.W., Jr.1    Berry, K.J.2
  • 34
    • 0000655885 scopus 로고
    • An algorithm for finding the exact significance level of r × c contingency tables
    • Pagano, M. and K. Halverson (1981). An algorithm for finding the exact significance level of r × c contingency tables. J. Amer. Statist. Assoc. 76, 931-934.
    • (1981) J. Amer. Statist. Assoc. , vol.76 , pp. 931-934
    • Pagano, M.1    Halverson, K.2
  • 36
    • 0001454867 scopus 로고
    • On a criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling
    • Reprinted 1948 in Karl Pearson's Early Statistical Papers, E.S. Pearson, Ed., Cambridge University Press, Cambridge
    • Pearson, K. (1900). On a criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philos. Mag. (Series 5) 50, 157-175. (Reprinted 1948 in Karl Pearson's Early Statistical Papers, E.S. Pearson, Ed., Cambridge University Press, Cambridge.)
    • (1900) Philos. Mag. (Series 5) , vol.50 , pp. 157-175
    • Pearson, K.1
  • 40
    • 0000339765 scopus 로고
    • A survey of algorithms for exact distributions of test statistics in r × c contingency tables with fixed margins
    • Verbeek, A. and P.M. Kroonenberg (1985). A survey of algorithms for exact distributions of test statistics in r × c contingency tables with fixed margins. Comput. Statist. Data Anal. 3, 159-185.
    • (1985) Comput. Statist. Data Anal. , vol.3 , pp. 159-185
    • Verbeek, A.1    Kroonenberg, P.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.