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Volumn 26, Issue 4, 2007, Pages 903-918

Confidence intervals for multinomial logistic regression in sparse data

Author keywords

Asymptotic bias; Bayesian estimates; Bias reduction; Continuous covariate; Data separation; Infinite estimates; Jeffreys prior; Odds ratio; Polychotomous logistic regression; Polytomous logistic regression; Small samples

Indexed keywords

ASPARTATE AMINOTRANSFERASE; HEPATITIS C ANTIBODY;

EID: 33846805720     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.2518     Document Type: Article
Times cited : (49)

References (27)
  • 1
    • 0002662712 scopus 로고
    • On the existence of maximum likelihood estimates in logistic regression models
    • Albert A, Anderson JA. On the existence of maximum likelihood estimates in logistic regression models. Biometrika 1984; 71:1-10.
    • (1984) Biometrika , vol.71 , pp. 1-10
    • Albert, A.1    Anderson, J.A.2
  • 3
    • 0002178053 scopus 로고
    • Bias reduction of maximum likelihood estimates
    • Firth D. Bias reduction of maximum likelihood estimates. Biometrika 1993; 80:27-38.
    • (1993) Biometrika , vol.80 , pp. 27-38
    • Firth, D.1
  • 5
    • 0037187858 scopus 로고    scopus 로고
    • A modified score function estimator for multinomial logistic regression in small samples
    • Bull SB, Mak C, Greenwood CMT. A modified score function estimator for multinomial logistic regression in small samples. Computational Statistics and Data Analysis 2002; 39:57-74.
    • (2002) Computational Statistics and Data Analysis , vol.39 , pp. 57-74
    • Bull, S.B.1    Mak, C.2    Greenwood, C.M.T.3
  • 6
    • 62949087988 scopus 로고
    • Calculation of polychotomous logistic regression parameters using individualized regressions
    • Begg CB, Gray R. Calculation of polychotomous logistic regression parameters using individualized regressions. Biometrika 1984; 71:11-18.
    • (1984) Biometrika , vol.71 , pp. 11-18
    • Begg, C.B.1    Gray, R.2
  • 7
    • 0030890006 scopus 로고    scopus 로고
    • Jackknife bias reduction for polychotomous logistic regression
    • Statistics in Medicine 1997; 16:2928 (Correction)
    • Bull SB, Greenwood CMT, Hauck WW. Jackknife bias reduction for polychotomous logistic regression. Statistics in Medicine 1997; 16:545-560; Statistics in Medicine 1997; 16:2928 (Correction).
    • (1997) Statistics in Medicine , vol.16 , pp. 545-560
    • Bull, S.B.1    Greenwood, C.M.T.2    Hauck, W.W.3
  • 8
    • 0037199788 scopus 로고    scopus 로고
    • A solution to the problem of separation in logistic regression
    • Heinze G, Schemper M. A solution to the problem of separation in logistic regression. Statistics in Medicine 2002; 21:2409-2419.
    • (2002) Statistics in Medicine , vol.21 , pp. 2409-2419
    • Heinze, G.1    Schemper, M.2
  • 11
    • 0026550468 scopus 로고
    • On the computation of likelihood and score test based confidence intervals in generalized linear models
    • Alho JM. On the computation of likelihood and score test based confidence intervals in generalized linear models. Statistics in Medicine 1992; 11:923-990.
    • (1992) Statistics in Medicine , vol.11 , pp. 923-990
    • Alho, J.M.1
  • 12
    • 0005821803 scopus 로고    scopus 로고
    • The application of Firth's procedure to Cox and logistic regression
    • Technical Report 10, Department of Medical Computer Sciences, Section of Clinical Biometrics, University of Vienna, (updated 2001)
    • Heinze G. The application of Firth's procedure to Cox and logistic regression. Technical Report 10, Department of Medical Computer Sciences, Section of Clinical Biometrics, University of Vienna, 1999 (updated 2001).
    • (1999)
    • Heinze, G.1
  • 13
    • 33846843281 scopus 로고    scopus 로고
    • Confidence intervals for logistic regression in sparse data
    • Tecnopolo Funchal, Madiera, Portugal, Revista de Estatistica - Statistical Review
    • Bull SB, Lewinger JP. Confidence intervals for logistic regression in sparse data. Proceedings of the 23rd European Meeting of Statisticians, Tecnopolo Funchal, Madiera, Portugal, Revista de Estatistica - Statistical Review 2001; 2:69-70.
    • (2001) Proceedings of the 23rd European Meeting of Statisticians , vol.2 , pp. 69-70
    • Bull, S.B.1    Lewinger, J.P.2
  • 15
    • 0000555876 scopus 로고    scopus 로고
    • Small-sample bias and corrections for conditional maximum-likelihood odds-ratio estimators
    • Greenland S. Small-sample bias and corrections for conditional maximum-likelihood odds-ratio estimators. Biostatistics 2000; 1:113-122.
    • (2000) Biostatistics , vol.1 , pp. 113-122
    • Greenland, S.1
  • 16
    • 0032967378 scopus 로고    scopus 로고
    • On logit confidence intervals for the odds ratio with small samples
    • Agresti A. On logit confidence intervals for the odds ratio with small samples. Biometrics 1999; 55:597-602.
    • (1999) Biometrics , vol.55 , pp. 597-602
    • Agresti, A.1
  • 17
    • 33846803212 scopus 로고    scopus 로고
    • SAS Institute Inc. Confidence Intervals for Parameters, Chapter 39, Section 26, Cary, NC
    • SAS Institute Inc. SAS OnlineDoc, Version 8, The LOGISTIC Procedure, Confidence Intervals for Parameters, Chapter 39, Section 26, Cary, NC: 1999.
    • (1999) SAS OnlineDoc, Version 8, the LOGISTIC Procedure
  • 18
    • 33846788938 scopus 로고
    • Aptech Systems Incorporated. (June 2003), Kent, Washington
    • Aptech Systems Incorporated. The GAUSS System. Version 5.0.26 (June 2003), Kent, Washington, 1990.
    • (1990) The GAUSS System. Version 5.0.26
  • 19
    • 33846800670 scopus 로고    scopus 로고
    • Penalized maximum likelihood estimation for multinomial logistic regression using the Jeffreys prior
    • Technical Report No. 0505, Department of Statistics, University of Toronto
    • Bull SB, Lewinger JP, Lee SSF. Penalized maximum likelihood estimation for multinomial logistic regression using the Jeffreys prior. Technical Report No. 0505, Department of Statistics, University of Toronto, 2005.
    • (2005)
    • Bull, S.B.1    Lewinger, J.P.2    Lee, S.S.F.3
  • 21
    • 0028878749 scopus 로고
    • Post-transfusion hepatitis: Impact of the non-A non-B hepatitis surrogate tests
    • for the Canadian post-transfusion hepatitis prevention Study Group
    • Blajchman MA, Bull SB, Feinman SV, for the Canadian post-transfusion hepatitis prevention Study Group. Post-transfusion hepatitis: impact of the non-A non-B hepatitis surrogate tests. The Lancet 1995; 345:21-25.
    • (1995) The Lancet , vol.345 , pp. 21-25
    • Blajchman, M.A.1    Bull, S.B.2    Feinman, S.V.3
  • 23
    • 33846836334 scopus 로고    scopus 로고
    • StatXact-5 for windows, statistical software for exact nonparametric inference
    • Cytel Software Corporation. Chapter 8. Cambridge, MA
    • Cytel Software Corporation. StatXact-5 for windows, statistical software for exact nonparametric inference. User Manual, Version 5, Chapter 8. Cambridge, MA; 2001.
    • (2001) User Manual, Version 5
  • 25
    • 77049310401 scopus 로고
    • The estimation and significance of the logarithm of a ratio of frequencies
    • Haldane JBS. The estimation and significance of the logarithm of a ratio of frequencies. Annals of Human Genetics 1956; 20:309-311.
    • (1956) Annals of Human Genetics , vol.20 , pp. 309-311
    • Haldane, J.B.S.1
  • 26
    • 0038634705 scopus 로고    scopus 로고
    • Fixing the nonconvergence bug in logistic regression with SPLUS and SAS
    • Heinze G, Ploner M. Fixing the nonconvergence bug in logistic regression with SPLUS and SAS. Computer Methods and Programs in Biomedicine 2003; 71:181-187.
    • (2003) Computer Methods and Programs in Biomedicine , vol.71 , pp. 181-187
    • Heinze, G.1    Ploner, M.2
  • 27
    • 0003652754 scopus 로고    scopus 로고
    • LogXact7, discrete regression software featuring exact methods
    • Cytel Software Corporation. Chapter 7, November Cambridge, MA
    • Cytel Software Corporation. LogXact7, discrete regression software featuring exact methods. User Manual, Chapter 7, November 2005. Cambridge, MA.
    • (2005) User Manual


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.