Estimating Regression Parameters in an Extended Proportional Odds Model

REFERENCES

• Bennett , S. 1983 . “Analysis of Survival Data by the Proportional Odds Model,” . Statistics in Medicine , 2 : 273 – 277 .
   PubMedGoogle Scholar
• Bickel , P. J. and Kwon , J. 2001 . “Inference for Semiparametric Models: Some Questions and an Answer,” . Statistica Sinica , 11 : 863 – 886 .
   Web of Science ®Google Scholar
• Chen , K. , Jin , Z. and Ying , Z. 2002 . “Semiparametric Analysis of Transformation Models With Censored Data,” . Biometrika , 89 : 659 – 668 .
   Web of Science ®Google Scholar
• Chen , Y. Q. and Jewell , N. P. 2001 . “On a General Class of Hazards Regression Models,” . Biometrika , 88 : 687 – 702 .
   Web of Science ®Google Scholar
• Cheng , S. C. , Wei , L. J. and Ying , Z. 1995 . “Analysis of Transformation Models With Censored Data,” . Biometrika , 82 : 835 – 845 .
   Web of Science ®Google Scholar
• Cheng , S. C. , Wei , L. J. and Ying , Z. 1997 . “Predicting Survival Probabilities With Semiparametric Transformation Models,” . Journal of the American Statistical Association , 92 : 227 – 235 .
   Web of Science ®Google Scholar
• Cox , D. R. 1972 . “Regression Models and Life Tables” (with discussion) . Journal of Royal Statistical Society, Series B , 34 : 187 – 220 .
   Web of Science ®Google Scholar
• Dabrowska , D. M. and Doksum , K. A. 1988 . “Estimation and Testing in a Two-Sample Generalized Odds-Rate Model,” . Journal of the American Statistical Association , 83 : 744 – 749 .
   Web of Science ®Google Scholar
• Eshleman , S. H. , Mracna , M. , Guay , L. A. , Deseyve , M. , Cunningham , S. , Mirochnick , M. , Musoke , P. , Fleming , T. , Fowler , M. G. , Mofenson , L. M. , Mmiro , F. and Jackson , J. B. 2001 . “Selection and Fading of Resistance Mutations in Women and Infants Receiving Nevirapin to Prevent HIV-1 Vertical Transmission (HIVNET 012),” . Lancet , 15 : 1951 – 1957 .
   Google Scholar
• Fleming , T. R. , O’Fallon , J. R. and O’Brien , P. C. 1980 . “Modified Komogorov-Smirnov Test Procedures With Application to Arbitrarily Right-Censored Data,” . Biometrics , 36 : 607 – 625 .
   Web of Science ®Google Scholar
• Hanson , T. and Yang , M. G. 2007 . “Bayesian Semiparametric Proportional Odds Models,” . Biometrics , 63 : 88 – 95 .
   PubMed Web of Science ®Google Scholar
• Huang , Y. J. 2002 . “Calibration Regression of Censored Lifetime Medical Cost,” . Journal of the American Statistical Association , 97 : 318 – 327 .
   Web of Science ®Google Scholar
• Jackson , J. B. , Musoke , P. , Fleming , T. , Guay , L. A. , Bagenda , D. , Allen , M. , Nakabiito , C. , Sherman , J. , Bakaki , P. , Owor , M. , Ducar , C. , Deseyve , M. , Mwatha , A. , Emel , L. , Duefield , C. , Mirochnick , M. , Fowler , M. G. , Mofenson , L. , Miotti , P. , Gigliotti , M. , Bray , D. and Mmiro , F. 2003 . “Intrapartum and Neonatal Single-Dose Nevirapine Compared With Zidovudine for Prevention of Mother-to-Child Transmission of HIV-1 in Kampla, Uganda: 18-Month Follow-Up of the HIVNET 012 Randomised Trial,” . Lancet , 362 : 859 – 868 .
   PubMed Web of Science ®Google Scholar
• Jung , S.-H. 1996 . “Regression Analysis for Long-Term Survival Rate,” . Biometrika , 83 : 227 – 232 .
   Web of Science ®Google Scholar
• Kalbfleisch , J. D. and Prentice , R. L. 2002 . The Statistical Analysis of Failure Time Data (2nd ed.) , Hoboken , NJ : Wiley .
   Google Scholar
• Kosorok , M. R. , Lee , B. L. and Fine , J. P. 2004 . “Robust Inference for Univariate Proportional Hazards Frailty Regression Models,” . The Annals of Statistics , 32 : 1448 – 1491 .
   Web of Science ®Google Scholar
• Lin , D. Y. and Ying , Z. 1995 . “Semiparametric Inference for the Accelerated Life Model With Time-Dependent Covariates,” . Journal of Statistical Planning and Inferences , 44 : 47 – 63 .
   Web of Science ®Google Scholar
• McCullagh , P. 1980 . “Regression Models for Ordinal Data,” . Journal of the Royal Statistical Society, Series B , 42 : 109 – 142 .
   Google Scholar
• Murphy , S. A. , Rossini , A. J. and van der Vaart , A. W. 1997 . “Maximum Likelihood Estimation in the Proportional Odds Model,” . Journal of the American Statistical Association , 92 : 968 – 976 .
   Web of Science ®Google Scholar
• Nelson , W. 1969 . “Hazard Plotting for Incomplete Failure Data,” . Journal of Quality Technology , 1 : 27 – 52 .
   Google Scholar
• Peng , L. and Huang , Y. J. 2007 . “Survival Analysis With Temporal Covariate Effects,” . Biometrika , 94 : 719 – 733 .
   Web of Science ®Google Scholar
• Pettitt , A. 1984 . “Proportional Odds Models for Survival Data and Estimates Using Ranks,” . Applied Statistics , 33 : 169 – 175 .
   Web of Science ®Google Scholar
• Prentice , R. L. 1973 . “Exponential Survivals With Censoring and Explanatory Variables,” . Biometrika , 60 : 279 – 288 .
   Web of Science ®Google Scholar
• Scharfstein , D. O. , Tsiatis , A. A. and Gilbert , P. B. 1998 . “Semiparametric Efficient Estimation in the Generalized Odds-Rate Class of Regression Models for Right-Censored Time-to-Event Data,” . Lifetime Data Analysis , 4 : 355 – 391 .
   PubMed Web of Science ®Google Scholar
• The HIVNET/HPTN Group . 2003 . “HIVNET 012: Phase IIB Trial to Evaluate the Efficacy of Oral Nevirapine and The Efficacy of Oral AZT in Infants Born to HIV-Infected Mothers in Uganda for Prevention of Vertical HIV Transmission—A Study of the HIVNET/HPTN Group,” . The HIVNET 012 Protocol , The HIV Prevention Trials Network. Available at http://www.hptn.org/research_studies/hivnet012.asp
   Google Scholar
• Tsiatis , A. A. 1990 . “Estimating Regression Parameters Using Linear Rank Tests for Censored Data,” . The Annals of Statistics , 18 : 354 – 372 .
   Web of Science ®Google Scholar
• Yang , S. and Prentice , R. L. 1999 . “Semiparametric Inference in the Proportional Odds Regression Model,” . Journal of the American Statistical Association , 94 : 125 – 136 .
   Web of Science ®Google Scholar
• Zeng , D. and Lin , D. Y. 2006 . “Efficient Estimation of Semiparametric Transformation Models for Counting Processes,” . Biometrika , 93 : 627 – 640 .
   Web of Science ®Google Scholar
• Zeng , D. and Lin , D. Y. 2007 . “Maximum Likelihood Estimation in Semiparametric Regression Models With Censored Data,” . Journal of the Royal Statistical Society, Series B , 69 : 1 – 30 .
   Google Scholar
• Zhang , M. and Davidian , M. 2007 . “‘Smooth’ Semiparametric Regression Analysis for Arbitrarily Censored Time-to-Event Data,” . Biometrics , 64 : 567 – 576 .
   PubMedGoogle Scholar
• Zucker , D. M. and Yang , S. 2006 . “Inference for a Family of Survival Models Encompassing the Proportional Hazards and Proportional Odds Model,” . Statistics in Medicine , 25 : 995 – 1014 .
   PubMed Web of Science ®Google Scholar