A multiple imputation approach to the analysis of interval-censored failure time data with the additive hazards model

This paper discusses regression analysis of interval-censored failure time data, which occur in many fields including demographical, epidemiological, financial, medical, and sociological studies. For the problem, we focus on the situation where the survival time of interest can be described by the additive hazards model and a multiple imputation approach is presented for inference. A major advantage of the approach is its simplicity and it can be easily implemented by using the existing software packages for right-censored failure time data. Extensive simulation studies are conducted which indicate that the approach performs well for practical situations and is comparable to the existing methods. The methodology is applied to a set of interval-censored failure time data arising from an AIDS clinical trial.

[1]  Jian Huang,et al.  Sieve Estimation for the Proportional-Odds Failure-Time Regression Model with Interval Censoring , 1997 .

[2]  Jianguo Sun,et al.  Regression analysis of clustered interval-censored failure time data with the additive hazards model , 2012, Journal of nonparametric statistics.

[3]  D. Finkelstein,et al.  A Proportional Hazards Model for Multivariate Interval‐Censored Failure Time Data , 2000, Biometrics.

[4]  Anastasios A. Tsiatis,et al.  Regression with interval-censored data , 1995 .

[5]  Jian Huang,et al.  Interval Censored Survival Data: A Review of Recent Progress , 1997 .

[6]  Zhigang Zhang,et al.  Regression analysis of interval‐censored failure time data with linear transformation models , 2005 .

[7]  P. Gänssler Weak Convergence and Empirical Processes - A. W. van der Vaart; J. A. Wellner. , 1997 .

[8]  Rosalind Wright,et al.  Analysis of clustered and interval censored data from a community‐based study in asthma , 2004, Statistics in medicine.

[9]  A multiple imputation approach for clustered interval‐censored survival data , 2010, Statistics in medicine.

[10]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[11]  K. Yau,et al.  Mixture cure model with random effects for clustered interval‐censored survival data , 2011, Statistics in medicine.

[12]  D. Addiss,et al.  Efficacy of co-administered diethylcarbamazine and albendazole against adult Wuchereria bancrofti. , 2006, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[13]  Peter Bacchetti,et al.  Generalized Additive Models with Interval‐Censored Data and Time‐Varying Covariates: Application to Human Immunodeficiency Virus Infection in Hemophiliacs , 2002, Biometrics.

[14]  W Pan,et al.  A Multiple Imputation Approach to Cox Regression with Interval‐Censored Data , 2000, Biometrics.

[15]  Jong S. Kim,et al.  EFFICIENT ESTIMATION FOR THE PROPORTIONAL HAZARDS MODEL WITH LEFT-TRUNCATED AND "CASE 1" INTERVAL-CENSORED DATA , 2003 .

[16]  D. Rubin Multiple imputation for nonresponse in surveys , 1989 .

[17]  Donglin Zeng,et al.  Semiparametric additive risks model for interval-censored data , 2006 .

[18]  P. Bickel Efficient and Adaptive Estimation for Semiparametric Models , 1993 .

[19]  Zhiliang Ying,et al.  Additive hazards regression with current status data , 1998 .

[20]  C. Kooperberg,et al.  Hazard regression with interval-censored data. , 1997, Biometrics.

[21]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[22]  J. Klein,et al.  Survival Analysis: Techniques for Censored and Truncated Data , 1997 .

[23]  Naji Younes,et al.  LINK-BASED MODELS FOR SURVIVAL DATA WITH INTERVAL AND CONTINUOUS TIME CENSORING , 1997 .

[24]  Jianguo Sun,et al.  Regression analysis of clustered interval-censored failure time data with informative cluster size , 2010, Comput. Stat. Data Anal..

[25]  David G Addiss,et al.  Modeling survival data with informative cluster size , 2008, Statistics in medicine.

[26]  Pranab Kumar Sen,et al.  Within‐cluster resampling , 2001 .

[27]  N. Breslow,et al.  Statistical methods in cancer research. Volume II--The design and analysis of cohort studies. , 1987, IARC scientific publications.

[28]  Thomas R. Fleming,et al.  Proceedings of the First Seattle Symposium in Biostatistics: Survival Analysis , 1997 .

[29]  D. Finkelstein,et al.  A proportional hazards model for interval-censored failure time data. , 1986, Biometrics.

[30]  P. Simpson,et al.  Statistical methods in cancer research , 2001, Journal of surgical oncology.

[31]  J Sun,et al.  Regression analysis of interval-censored failure time data. , 1997, Statistics in medicine.

[32]  Jianguo Sun,et al.  The Statistical Analysis of Interval-censored Failure Time Data , 2006 .

[33]  Zhiliang Ying,et al.  Semiparametric analysis of the additive risk model , 1994 .

[34]  Jon A. Wellner,et al.  Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .

[35]  D. Cox,et al.  Analysis of Survival Data. , 1985 .

[36]  B. Turnbull The Empirical Distribution Function with Arbitrarily Grouped, Censored, and Truncated Data , 1976 .

[37]  G. C. Wei,et al.  Applications of multiple imputation to the analysis of censored regression data. , 1991, Biometrics.

[38]  R. Prentice,et al.  Regression Estimation Using Multivariate Failure Time Data and a Common Baseline Hazard Function Model , 1997, Lifetime data analysis.

[39]  Norman E. Breslow,et al.  The design and analysis of cohort studies , 1987 .