A copula-based Markov chain model for the analysis of binary longitudinal data

References

• Alexander , C. A. and Markowitz , R. 1986 . Maternal employment and use of pediatric clinic services . Med. Care , 24 : 134 – 147 .
   PubMed Web of Science ®Google Scholar
• Azari , R. , Li , L. and Tsai , C.-L. 2006 . Longitudinal data model selection . Comput. Stat. Data Anal. , 50 : 3053 – 3066 .
   Web of Science ®Google Scholar
• Azzalini , A. 1994 . Logistic regression for autocorrelated data with application to repeated measures . Biometrika , 81 : 767 – 775 . correction: 84 (1997), p. 989
   Web of Science ®Google Scholar
• Baker , J. B. , Hertz-Picciotto , I. , Dostál , M. , Keller , J. A. , Nozicka , J. , Kotesovec , F. , Dejmek , J. , Loomis , D. and Stram , R. J. 2006 . Coal home heating and environmental tobacco smoke in relation to lower respiratory illness in Czech children, from birth to 3 years of age . Environ. Health Perspect. , 114 : 1126 – 1132 .
   PubMed Web of Science ®Google Scholar
• Billingsley , P. 1961 . Statistical methods in Markov chains . Ann. Math. Stat. , 32 : 12 – 40 .
   Google Scholar
• Breslow , N. E. and Clayton , D. G. 1993 . Approximate inference in generalized linear mixed models . J. Am. Stat. Assoc. , 88 : 9 – 25 .
   Web of Science ®Google Scholar
• Copas , J. B. and Li , H. G. 1997 . Inference for non-random samples . J. R. Stat. Soc. B , 59 : 55 – 95 .
   Google Scholar
• Cox , D. R. and Snell , E. J. 1989 . Analysis of binary data , 2 , Chapman & Hall, London .
   Google Scholar
• Diggle , P. , Heagerty , P. , Liang , K.-Y. and Zeger , S. 2002 . Analysis of Longitudinal Data , 2 , New York : Oxford University Press .
   Google Scholar
• Dunn , P. K. and Smyth , G. K. 1996 . Randomized quantile residuals . J. Comput. Graph. Stat. , 5 : 236 – 244 .
   Google Scholar
• Heagerty , P. J. 2002 . Marginalized transition models and likelihood inference for longitudinal categorical data . Biometrics , 58 : 342 – 351 .
   PubMed Web of Science ®Google Scholar
• Joe , H. 1997 . Multivariate Models and Dependence Concepts , New York : Chapman & Hall .
   Google Scholar
• Jones , R. H. and Boadi-Boateng , F. 1991 . Unequally spaced longitudinal data with AR(1) serial correlation . Biometrics , 47 : 161 – 175 .
   PubMed Web of Science ®Google Scholar
• Jones , R. H. , Su , X. and Grunwald , G. K. 2006 . Continuous time Markov models for binary longitudinal data . Biomet. J. , 48 : 411 – 419 .
   PubMed Web of Science ®Google Scholar
• Le , N. D. , Martin , R. D. and Raftery , A. E. 1996 . Modeling flat stretches, burst and outliers in time series using mixture transition distribution models . J. Am. Stat. Assoc. , 91 : 1504 – 1515 .
   Web of Science ®Google Scholar
• McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models , 2 , London : Chapman & Hall .
   Google Scholar
• Raftery , A. E. 1985 . A model for high-order Markov chains . J. R. Stat. Soc. Ser. B , 47 : 528 – 539 .
   Google Scholar
• Raftery , A. E. 1995 . Bayesian model selection in social research . Sociol. Methodol. , 25 : 111 – 163 .
   Web of Science ®Google Scholar
• Schwarz , G. 1978 . Estimating the dimension of a model . Ann. Stat. , 8 : 461 – 464 .
   Web of Science ®Google Scholar
• Song , P. X.-K. 2000 . Multivariate dispersion models generated from Gaussian copula . Scand. J. Stat , 27 : 305 – 330 .
   Web of Science ®Google Scholar
• Yan , J. and Fine , J. P. 2004 . Estimating equations for association structures . Stat. Med. , 23 : 859 – 880 .
   PubMed Web of Science ®Google Scholar
• Yu , O. , Sheppard , L. , Lumley , T. , Koenig , J. Q. and Shapiro , G. G. 2006 . Effects of ambient air pollution on symptoms of asthma in Seattle-area children enrolled in the CAMP study . Environ. health Perspect. , 108 : 1209 – 1214 .
   Google Scholar