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Original Articles

Assessing cumulative logit models via a score test in random effect models

Pages 247-259 | Received 06 Feb 2009, Accepted 13 Sep 2009, Published online: 18 Aug 2010

References

  • Agresti , A. 1999 . Modelling ordered categorical data: recent advances and future challenges . Stat. Med. , 18 : 2191 – 2207 .
  • Andrews , D. W.K. and Ploberger , W. 1994 . Optimal texts when a nuisance parameter is present only under the alternative . Econometrica , 62 : 1383 – 1414 .
  • Azzalini , A. , Bowman , A. W. and Hardle , W. 1989 . On the use of non-parametric regression for model checking . Biometrika , 76 : 1 – 11 .
  • Brant , R. 1990 . Assessing proportionality in the proportional odds model for ordinal logistic regression . Biometrics , 46 ( 4 ) : 1171 – 1178 .
  • Cox , D. R. and Hinkley , D. V. 1974 . Theoretical Statistics , London : Chapman and Hall .
  • Cox , D. R. and Snell , E. J. 1989 . Analysis of Binary Data , London : Chapman and Hall .
  • Davies , R. B. 1977 . Hypothesis testing when a nuisance parameter is present only under the alternative . Biometrika , 64 : 247 – 254 .
  • Davies , R. B. 1987 . Hypothesis testing when a nuisance parameter is present only under the alternative . Biometrika , 74 : 33 – 43 .
  • Efron , B. 1978 . Regression and ANOVA with zero-one data: Measures of residual variation . J. Am. Stat. Assoc. , 73 : 113 – 212 .
  • Fan , J. and Gijbels , I. 1996 . Local Polynomial Modelling and Its Applications , London : Chapman & Hall .
  • Gautam , S. and Kimeldorf , G. 1999 . Some results on the maximal correlation in 2×k contingency tables . Am. Stat. , 53 ( 4 ) : 336 – 341 .
  • Gautam , S. , Kimeldorf , G. and Sampson , A. R. 1996 . Optimized scorings for ordinal data for the general linear model . Stat. Probab. Lett. , 27 : 231 – 239 .
  • Graubard , B. I. and Korn , E. L. 1987 . Choice of column scores for testing independence in ordered 2×k contingency tables . Biometrics , 43 : 471 – 476 .
  • Hosmer , D. W. and Lemeshow , S. L. 1980 . A goodness-of-fit test for the multiple logistic regression model . Commun. Stat. , A10 : 1043 – 1069 .
  • Kimeldorf , G. , Sampson , A. R. and Whitaker , L. R. 1992 . Min and max scoring for two-sample ordinal data . J. Am. Stat. Assoc. , 87 ( 417 ) : 241 – 247 .
  • le Cessie , S. and van Houwelingen , J. C. 1995 . Testing the fit of a regression model via score tests in random effects models . Biometrics , 51 : 600 – 614 .
  • Lin , K. C. and Chen , Y. J. 2005 . Testing the goodness-of-fit of logistic models based on local linear smoothing . Int. J. Inf. Manag. Sci. , 16 : 83 – 95 .
  • Lin , K. C. and Chen , Y. J. 2008 . Assessing ordinal logistic regression models via nonparametric smoothing . Commun. Stat.Theory Methods , 37 ( 6 ) : 917 – 930 .
  • Lipsitz , S. R. , Fitzmaurice , G. M. and Molenberghs , G. 1996 . Goodness-of-fit tests for ordinal response regression models . App. Stat. , 45 ( 2 ) : 175 – 190 .
  • May , S. and Hosmer , D. W. 1998 . A simplified method of calculating an overall goodness-of-fit test for the Cox proportional hazards model . Lifetime Data Analysis , 4 ( 2 ) : 109 – 120 .
  • McCullagh , P. 1980 . Regression models for ordinal data(with discussion) . J. R. Stat. Soc. Ser. , B 42 : 109 – 42 .
  • McFadden , D. 1974 . The Measurement of urban demand travel . J. Public Econ. , 3 : 303 – 328 .
  • Mosteller , F. and Tukey , J. W. 1977 . Data Analysis and Regression , 567 – 568 . Reading, MA : Addison-Wesley, Exhibit 8 .
  • Nagelkerke , N. J.D. 1991 . A note on a general definition of the coefficient of determination . Biometrika , 78 ( 3 ) : 691 – 692 .
  • Ng'Andu , N. H. 1997 . An empirical comparison of statistical tests for assessing the proportional hazards assumption of Cox's model . Stat. Med. , 16 : 611 – 626 .
  • Pulkstenis , E. and Robinson , T. J. 2004 . Goodness-of-fit tests for ordinal response regression models . Stat. Med. , 23 : 999 – 1014 .
  • Stiger , T. , Thomas , R. , Barnhart , H. and Williamson , J. 1999 . Testing proportionality in the proportional odds model fitted with GEE . Stat. Med. , 18 : 1419 – 1433 .
  • Wand , M. P. and Jones , M. C. 1995 . Kernel Smoothing , London : Chapman & Hall .

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