Modeling Repeated Measures with Monotonic Ordinal Responses and Misclassification, with Applications to Studying Maturation

References

• Albert , P. S. 1994 . “A Markov Model for Sequences of Ordinal Data From a Relapsing-Remitting Disease,” . Biometrics , 50 : 51 – 60 .
   PubMed Web of Science ®Google Scholar
• Baum , L. E. , Petrie , T. , Soules , G. and Weiss , N. A. 1970 . “A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains,” . Annals of Mathematical Statistics , 41 : 164 – 171 .
   Google Scholar
• Billingsley , P. 1961 . “Statistical Methods in Markov Chains,” . Annals of Mathematical Statistics , 32 : 12 – 40 .
   Google Scholar
• Chuang , C. and Francom , S. F. 1986 . “A Structural Model for the Markov Chain of Change in Vote Intention,” . Communications in Statistics, Part A—Theory and Methods , 15 : 3475 – 3487 .
   Web of Science ®Google Scholar
• Dempster , A. P. , Laird , N. and Rubin , D. B. 1977 . “Maximum Likelihood From Incomplete Data via the EM Algorithm” (with discussion) . Journal of the Royal Statistical Society , 39 : 1 – 38 . Ser. B
   Google Scholar
• Diggle , P. J. , Liang , K. Y. and Zeger , S. L. 1994 . Analysis of Longitudinal Data , Oxford , , U.K. : Clarendon Press .
   Google Scholar
• EfronTibshirani , B. 1993 . An Introduction to the Bootstrap , New York : Chapman and Hall .
   Google Scholar
• Espeland , M. A. , Gallagher , D. , Tell , G. S. , Davison , L. L. and Platt , O. S. 1990 . “Reliability of Tanner Stage Diagnoses in a Multi-Center Trial,” . American Journal of Human Biology , 2 : 503 – 510 .
   PubMed Web of Science ®Google Scholar
• Espeland , M. A. , Platt , O. S. and Gallagher , D. 1989 . “Joint Estimation of Incidence and Error Rates From Irregular Longitudinal Data,” . Journal of the American Statistical Association , 84 : 972 – 979 .
   Web of Science ®Google Scholar
• Kalbfleisch , J. D. and Lawless , I. F. 1985 . “The Analysis of Panel Data Under a Markov Assumption,” . Journal of the American Statistical Association , 80 : 863 – 873 .
   Web of Science ®Google Scholar
• Kosorok , M. R. and Chao , W. H. 1996 . “The Analysis of Longitudinal Ordinal Response Data in Continuous Time,” . Journal of the American Statistical Association , 91 : 807 – 817 .
   Web of Science ®Google Scholar
• Largo , R. H. and Prader , A. 1983 . “Pubertal Development in Swiss Girls,” . Helvetica Paediatric Acta , 38 : 229 – 43 .
   PubMedGoogle Scholar
• Marshall , W. A. and Tanner , J. M. 1969 . “Variations in Pattern of Pubertal Changes in Girls,” . Archives of Diseases in Childhood , 44 : 291 – 303 .
   PubMed Web of Science ®Google Scholar
• McCullagh , P. 1980 . “Regression Models for Ordinal Data,” . Journal of the Royal Statistical Society , 2 : 109 – 142 . Ser. B
   Google Scholar
• McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models , London : Chapman and Hall .
   Google Scholar
• National Heart, Lung, and Blood Institute Growth and Health Study Research Group . 1992 . “Obesity and Cardiovascular Disease Risk Factors in Black and White Girls: The NHLBI Growth and Health Study,” . American Journal of Public Health , 82 : 1613 – 1620 .
   PubMed Web of Science ®Google Scholar
• Parzen , E. 1962 . Stochastic Processes , San Francisco : Holden-Day .
   Google Scholar
• Satten , G. A. and Longini , I. M. 1996 . “Markov Chains With Measurement Error: Estimating the ‘True’ Course of a Marker of the Progression of Human Immunodeficiency Virus Disease,” . Applied Statistics , 45 : 275 – 310 .
   Web of Science ®Google Scholar
• Tanner , J. M. 1962 . Growth at Adolescence, , 2nd ed. , Oxford , , U.K. : Blackwell Scientific .
   Google Scholar
• Taranger , J. , Engstrom , I. , Lichtenstein , H. and Svennberg-Redegren , I. 1976 . “Somatic Pubertal Development,” . Acta Paediatrica Scandinavica , 258 : 121 – 135 .
   Google Scholar
• Thornquist , M. D. 1993 . “Proportional Hazards Model for Repeated Measures With Monotonic Ordinal Response,” . Biometrics , 49 : 721 – 730 .
   PubMed Web of Science ®Google Scholar
• Van de Pol , F. and Leeuw , J. D. 1986 . “A Latent Markov Model to Correct for Measurement Error,” . Sociological Methods and Research , 15 : 118 – 141 .
   Web of Science ®Google Scholar