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Journal of Applied Statistics Volume 25, 1998 - Issue 3
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Original Articles

Parametric versus semi-parametric models for the analysis of correlated survival data: A case study in veterinary epidemiology

M. M. Shoukri
,
M. Attanasio
&
J. M. Sargeant
Pages 357-374 | Published online: 02 Aug 2010

  • AALEN , O. 1994 . Effects of frailty in survival analysis . Statistics and Methods in Medical Research , 3 : 227 – 243 .
  • AITKEN , M. and CLAYTON , D. G. 1980 . The fitting of exponential Weibull and extreme value distributions to complex censored survival data using GLIM . Applied Statistics , 29 : 156 – 163 .
  • ALBERT , P.S. 1991 . A two-state Markov mixture model for a time series of epileptic seizure counts . Biometrics , 47 : 1371 – 1381 .
  • ANDERSEN , P. K. , BORGAN , O. , GILL , R. D. and KEIFING , N. 1993 . Statistical Models Based on Counting Processes , New York : Springer .
  • BENNETT , S. 1983 . Log-logistic regression models for survival data . Applied Statistics , 32 : 165 – 171 .
  • BUTLER , S. M. and Louts , T. A. 1993 . Random effects models with non-parametric priors . Statistics in Medicine , 11 : 1981 – 2000 .
  • CLAYTON , D. G. 1978 . A model for association in bivariate survival data and its application in epidemiologic studies of chronic disease incidence . Biometrika , 65 : 141 – 151 .
  • CLAYTON , D. G. and Cuzick , J. 1985 . Multivariate generalizations of the proportional hazard model (with discussion) . Journal of the Royal Statistical Society Series A , 148 : 82 – 117 .
  • COLLETT , D. 1994 . Modelling Survival Data in Medical Research , London : Chapman and Hall .
  • CROWDER , M. 1995 . On the use of working correlation matrix in using generalized linear models for repeated measures . Biometrika , 82 : 407 – 410 .
  • COX , D. R. 1972 . Regression models and life tables (with discussion) . Journal of the Royal Statistical Society, Series B , 34 : 187 – 220 .
  • COX , D. R. and HINCKLEY , D. V. 1974 . Theoretical Statistics , London : Chapman and Hall .
  • DOHOO , I. R. and MARTIN , S. W. 1984 . Disease production and culling in Holstein-Friesian cows. III.Disease and production as determinants of culling . Preventative Veterinary Medicine , 2 : 671 – 690 .
  • FETROW , J. 1988 . Culling dairy cows . Proceedings of the American Association of Bovine Practitioners , 20 : 102 – 107 .
  • FITZMAURICE , G. 1995 . A caveat concerning independence estimating equations with multivariate binary data . Biometrics , 51 : 309 – 317 .
  • GAIL , M. H. , SANTNER , T. J. and BROWN , C. C. 1980 . Analysis of comparative carcinogenesis experiments based on multiple times to tumor . Biometrics , 36 : 255 – 266 .
  • GILL , R. D. 1985 . Discussion of multivariate generalizations of the proportional hazards model, by Clayton and Cuzick . Journal of the Royal Statistical Society, Series A , 148 : 82 – 117 .
  • GREER , R. C. , WHITMAN , R. W. and WOODWARD , D. R. 1980 . Estimation of probability of beef cows being culled and calculation of expected herd life . Journal of Animal Science , 51 : 10 – 19 .
  • GUO , G. and RODRIGUEZ , G. 1992 . Estimating a multivariate proportional hazards model for clustered data using the EM algorithm, with an application to child survival in Guatemala . Journal of the American Statistical Association , 87 : 969 – 976 .
  • HARRELL , F. 1986 . The PHGLM procedure, SAS Supplemental Library User's Guide, Version 5 , Cary, NC : SAS Institute .
  • HECKMAN , J. J. and SINGER , B. 1984 . A method for minimizing the impact of distributional assumptions in econometric models for duration data . Econometrica , 52 : 271 – 320 .
  • HOUGAARD , P. 1986 . A class of multivariate failure time distributions . Biometrika , 73 : 671 – 678 .
  • HOUGAARD , P. , HARROLD , B. and HOLM , N. 1992 . Measuring the similarities between the lifetimes of adult Danish twins born between 1881 1930 . Journal of the American Statistical Association , 87 : 17 – 24 .
  • HUBER , P. J. The behaviour of the maximum likelihood estimates under non-standard conditions . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . pp. 221 – 233 .
  • KLEIN , J.P. 1992 . Semiparametric estimation of random effects using the Cox model based on the EM algorithm . Biometrics , 48 : 795 – 806 .
  • LAIRD , N.M. 1978 . Nonparametric likelihood estimating of mixing distribution . Journal of the American Statistical Association , 73 : 805 – 811 .
  • LAIRD , N.M. and Louis , T. A. 1991 . Smoothing the non-parametric estimate of a prior distribution by toughening: a computational study . Computational Statistics and Data Analysis , 12 : 27 – 37 .
  • LEE , E. W. , WEI , L. J. and AMATO , D. 1992 . “ Cox-type regression analysis for a large number of small groups of correlated failure time observations ” . In Survival Analysis, State of the Art , Edited by: KLIN , J.P. and GOEL , P. K. 237 – 247 . Dordrecht : Kluwer .
  • LIANG , K.-Y. and ZEGER , S. L. 1986 . Longitudinal data analysis using generalized linear models . Biometrika , 73 : 13 – 22 .
  • LIN , J. S. and WEI , L. J. 1992 . Linear regression analysis for multivariate failure time observations . Journal of the American Statistical Association , 87 : 107 – 1097 .
  • MANTON , K. G. , STALLARD , E. and VAUPEL , J. W. 1981 . Methods of comparing the mortality experience of heterogeneous populations . Demography , 18 : 389 – 410 .
  • McCULLAGH , P. and NELDER , J. 1989 . Generalized Linear Models , London : Chapman and Hall .
  • MORRIS , C. N. , NORTON , E. C. and ZHOU , X. H. 1994 . “ Parametric duration analysis of nursing home usage ” . In Case Studies in Biometry , Edited by: LONGE , N. New York : Wiley . Chapter 12
  • OAKES , D. 1989 . Bivariate survival models induced by frailties . Journal of the American Statistical Association , 84 : 487 – 493 .
  • PETO , R. and LEE , P. N. 1973 . Weibull distributions for continuous carcinogenesis experiments . Biometrics , 29 : 457 – 470 .
  • PETO , R. , LEE , P. N. and PAIGE , W. S. 1972 . Statistical analysis of the bioassay of continuous carcinogens . British Journal of Cancer , 26 : 258 – 261 .
  • PIKE , M. C. 1966 . A method of analysis of a certain class of experiments in carcinogenesis . Biometrics , 22 : 142 – 161 .
  • SCHOENFELD , D. h. 1982 . Partial residuals for the proportional hazards regression model . Biometrika , 69 : 239 – 241 .
  • SEGAL , M. and NEEHAWS , J. 1993 . Robust inference for multivariate survival data . Statistics in Medicine , 2 : 1019 – 1031 .
  • SHIH , J. and Louis , T. 1995 . Assessing gamma frailty models for clustered failure time data . Lifetime Data Analysis , 1 : 205 – 220 .
  • THERNEAU , T. 1993 . Using a multiple-events Cox model . Proceedings from the Biometrics Section of the American Statistical Association , : 1 – 14 .
  • THOMAS , D.C. , LANGHOLZ , B. , MACK , W. and FLODERUS , B. 1990 . Bivariate survival models for analysis of genetic and environmental effects in twins . Genetic Epidemiology , 7 : 121 – 135 .
  • VAUPEL , J. W. and YASHIN , A. I. 1985 . “ The deviant dynamics of death in heterogeneous populations ” . In Sociological Methodology , Edited by: TURMA , N. B. San Francisco : A. Jossey-Bass .
  • VAUPEL , J. W. , MANTON , K. G. and STALLARD , E. 1979 . The impact of heterogeneity in individual frailty and the dynamics of mortality . Demography , 16 : 439 – 454 .
  • WET , L. J. , LIN , D. Y. and WEISFELD , L. 1989 . Regression analysis of multivariate incomplete failure time data by modelling marginal distributions . Journal of the American Statistical Association , 84 : 1065 – 1073 .
  • WHITTEMORE , A. and ALTSCHULER , A. 1976 . Lung cancer incidence in cigarette smokers: further analysis of Doll and Hill's data for British physicians . Biometrika , 32 : 805 – 816 .

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