Grant Details
Grant Number: |
1R01CA140632-01A1 Interpret this number |
Primary Investigator: |
Lu, Wenbin |
Organization: |
North Carolina State University Raleigh |
Project Title: |
Flexible Statistical Methods for Complex Survival Data in Biomedical Studies |
Fiscal Year: |
2010 |
Abstract
DESCRIPTION (provided by applicant): The broad, long-term objectives of this research are the developments of new statistical methodology for the analysis of survival data from both epidemiological studies and clinical trials. Significant progress has been made in statistical modeling and inference in survival data analysis; however, there are still many open questions and emerging challenges posed by new study designs, advanced technologies, as well as the growing scale and complexity of medical studies. In this proposed research, we will explore two general classes of semiparametric models, the transformation model and the accelerated failure time model, for analyzing complex survival data. These models not only are complements to Cox's proportional hazards model, but also provide general regression frameworks and possibly better strategies for modeling survival data. Thus, they play important roles in many biomedical applications by offering comprehensive survival analysis. We seek to develop statistically sound methods that not only make proper use of data information and structure but also are powerful and computationally efficient. Motivated by problems arising from the investigators' collaborative work on the New York University Women's Health Study (NYUWHS) and the Health Effects of Arsenic Longitudinal Study (HEALS), our methodology developments include the following four specific aims: (1.) To explore a broad class of linear transformation models in nested case-control (NCC) studies; (2.) To investigate efficient estimation of the accelerated failure time (AFT) model in case-cohort (CC) and nested case-control studies through a unified likelihood-based approach; (3.) To develop semiparametric Bayesian inference methods for the AFT cure model for the analysis of survival data from cohort studies or clinical trials in an admixture population with susceptible and non-susceptible (cured) subjects; (4.) To study partially linear regression modeling and the associated inference procedures for censored survival data from cohort studies or clinical trials. Results from the proposed project will be relevant and applicable to many biomedical studies. In all the specific aims, we will study the theoretical properties of the proposed estimators, and develop reliable numerical algorithms for implementing the proposed estimation methods. Special effort will also be devoted to developing and disseminating software for practitioners. We will carry out extensive simulation studies to evaluate relevance of the theory and the finite sample performance of the proposed estimators. We will also investigate the performance of the proposed methods on published datasets, compare them with existing approaches and demonstrate their applications in major clinical and epidemiological studies, including the NYUWHS and the HEALS. 1
PUBLIC HEALTH RELEVANCE: The proposed research aims to develop novel statistical approaches for analyzing survival data under various study designs, from admixed populations, and with complex covariates effects. The completion of our proposed research will provide reliable and efficient statistical methods for complex survival data that are commonly encountered in clinical and epidemiological studies. These methods can facilitate scientists' understanding of etiology of complex diseases and eventually lead to better design of disease prevention, prognosis and treatment strategies to improve human health. 1
Publications
On Estimation of Optimal Treatment Regimes For Maximizing t-Year Survival Probability.
Authors: Jiang R.
, Lu W.
, Song R.
, Davidian M.
.
Source: Journal Of The Royal Statistical Society. Series B, Statistical Methodology, 2017 Sep; 79(4), p. 1165-1185.
EPub date: 2016-09-02 00:00:00.0.
PMID: 28983189
Related Citations
Efficient estimation for accelerated failure time model under case-cohort and nested case-control sampling.
Authors: Kang S.
, Lu W.
, Liu M.
.
Source: Biometrics, 2017 Mar; 73(1), p. 114-123.
PMID: 27479331
Related Citations
JOINT STRUCTURE SELECTION AND ESTIMATION IN THE TIME-VARYING COEFFICIENT COX MODEL.
Authors: Xiao W.
, Lu W.
, Zhang H.H.
.
Source: Statistica Sinica, 2016 Apr; 26(2), p. 547-567.
PMID: 27540275
Related Citations
Groupwise Dimension Reduction via Envelope Method.
Authors: Guo Z.
, Li L.
, Lu W.
, Li B.
.
Source: Journal Of The American Statistical Association, 2015-12-01 00:00:00.0; 110(512), p. 1515-1527.
EPub date: 2015-12-01 00:00:00.0.
PMID: 26973362
Related Citations
Forward Stagewise Shrinkage and Addition for High Dimensional Censored Regression.
Authors: Guo Z.
, Lu W.
, Li L.
.
Source: Statistics In Biosciences, 2015-10-01 00:00:00.0; 7(2), p. 225-244.
EPub date: 2015-10-01 00:00:00.0.
PMID: 26904152
Related Citations
A Fast Multiple-Kernel Method With Applications to Detect Gene-Environment Interaction.
Authors: Marceau R.
, Lu W.
, Holloway S.
, Sale M.M.
, Worrall B.B.
, Williams S.R.
, Hsu F.C.
, Tzeng J.Y.
.
Source: Genetic Epidemiology, 2015 Sep; 39(6), p. 456-68.
PMID: 26139508
Related Citations
Identification of homogeneous and heterogeneous variables in pooled cohort studies.
Authors: Cheng X.
, Lu W.
, Liu M.
.
Source: Biometrics, 2015 Jun; 71(2), p. 397-403.
PMID: 25732747
Related Citations
On optimal treatment regimes selection for mean survival time.
Authors: Geng Y.
, Zhang H.H.
, Lu W.
.
Source: Statistics In Medicine, 2015-03-30 00:00:00.0; 34(7), p. 1169-84.
EPub date: 2015-03-30 00:00:00.0.
PMID: 25515005
Related Citations
LOCAL BUCKLEY-JAMES ESTIMATION FOR HETEROSCEDASTIC ACCELERATED FAILURE TIME MODEL.
Authors: Pang L.
, Lu W.
, Wang H.J.
.
Source: Statistica Sinica, 2015; 25, p. 863-877.
PMID: 27547018
Related Citations
Testing goodness-of-fit for the proportional hazards model based on nested case-control data.
Authors: Lu W.
, Liu M.
, Chen Y.H.
.
Source: Biometrics, 2014 Dec; 70(4), p. 845-51.
PMID: 25298193
Related Citations
Accelerated intensity frailty model for recurrent events data.
Authors: Liu B.
, Lu W.
, Zhang J.
.
Source: Biometrics, 2014 Sep; 70(3), p. 579-87.
PMID: 24588756
Related Citations
GENE-LEVEL PHARMACOGENETIC ANALYSIS ON SURVIVAL OUTCOMES USING GENE-TRAIT SIMILARITY REGRESSION.
Authors: Tzeng J.Y.
, Lu W.
, Hsu F.C.
.
Source: The Annals Of Applied Statistics, 2014; 8(2), p. 1232-1255.
PMID: 25018788
Related Citations
A Model-Free Machine Learning Method for Risk Classification and Survival Probability Prediction.
Authors: Geng Y.
, Lu W.
, Zhang H.H.
.
Source: Stat, 2014; 3(1), p. 337-350.
PMID: 25530636
Related Citations
Censored Rank Independence Screening for High-dimensional Survival Data.
Authors: Song R.
, Lu W.
, Ma S.
, Jeng X.J.
.
Source: Biometrika, 2014; 101(4), p. 799-814.
PMID: 25663709
Related Citations
Variable selection for optimal treatment decision.
Authors: Lu W.
, Zhang H.H.
, Zeng D.
.
Source: Statistical Methods In Medical Research, 2013 Oct; 22(5), p. 493-504.
PMID: 22116341
Related Citations
Estimation and selection of complex covariate effects in pooled nested case-control studies with heterogeneity.
Authors: Liu M.
, Lu W.
, Krogh V.
, Hallmans G.
, Clendenen T.V.
, Zeleniuch-Jacquotte A.
.
Source: Biostatistics (oxford, England), 2013 Sep; 14(4), p. 682-94.
PMID: 23632625
Related Citations
A Unified Approach to Semiparametric Transformation Models under General Biased Sampling Schemes.
Authors: Kim J.P.
, Lu W.
, Sit T.
, Ying Z.
.
Source: Journal Of The American Statistical Association, 2013-01-01 00:00:00.0; 108(501), p. 217-227.
PMID: 23667280
Related Citations
Kernel Smoothed Profile Likelihood Estimation in the Accelerated Failure Time Frailty Model for Clustered Survival Data.
Authors: Liu B.
, Lu W.
, Zhang J.
.
Source: Biometrika, 2013; 100(3), p. 741-755.
PMID: 24443587
Related Citations
More efficient estimators for case-cohort studies.
Authors: Kim S.
, Cai J.
, Lu W.
.
Source: Biometrika, 2013; 100(3), p. 695-708.
PMID: 24634519
Related Citations
Sample size calculation for the proportional hazards cure model.
Authors: Wang S.
, Zhang J.
, Lu W.
.
Source: Statistics In Medicine, 2012-12-20 00:00:00.0; 31(29), p. 3959-71.
EPub date: 2012-12-20 00:00:00.0.
PMID: 22786805
Related Citations
Time-varying latent effect model for longitudinal data with informative observation times.
Authors: Cai N.
, Lu W.
, Zhang H.H.
.
Source: Biometrics, 2012 Dec; 68(4), p. 1093-102.
PMID: 23025338
Related Citations
A Seminonparametric Approach to Joint Modeling of A Primary Binary Outcome and Longitudinal Data Measured at Discrete Informative Times.
Authors: Yan S.
, Zhang D.
, Lu W.
, Grifo J.A.
, Liu M.
.
Source: Statistics In Biosciences, 2012-11-01 00:00:00.0; 4(2), p. 213-234.
PMID: 23259008
Related Citations
MOMENT-BASED METHOD FOR RANDOM EFFECTS SELECTION IN LINEAR MIXED MODELS.
Authors: Ahn M.
, Zhang H.H.
, Lu W.
.
Source: Statistica Sinica, 2012-10-01 00:00:00.0; 22(4), p. 1539-1562.
PMID: 23105913
Related Citations
On the robustness of the adaptive lasso to model misspecification.
Authors: Lu W.
, Goldberg Y.
, Fine J.P.
.
Source: Biometrika, 2012 Sep; 99(3), p. 717-731.
PMID: 25294946
Related Citations
Variance Estimation in Censored Quantile Regression via Induced Smoothing.
Authors: Panga L.
, Lu W.
, Wang H.J.
.
Source: Computational Statistics & Data Analysis, 2012-04-01 00:00:00.0; 56(4), p. 785-796.
EPub date: 2012-04-01 00:00:00.0.
PMID: 22547899
Related Citations
On estimation of linear transformation models with nested case-control sampling.
Authors: Lu W.
, Liu M.
.
Source: Lifetime Data Analysis, 2012 Jan; 18(1), p. 80-93.
PMID: 21912975
Related Citations
A Semiparametric Marginalized Model for Longitudinal Data with Informative Dropout.
Authors: Liu M.
, Lu W.
.
Source: Journal Of Probability And Statistics, 2012-01-01 00:00:00.0; 2012(2012), .
PMID: 22267962
Related Citations
A note on monotonicity assumptions for exact unconditional tests in binary matched-pairs designs.
Authors: Li X.
, Liu M.
, Goldberg J.D.
.
Source: Biometrics, 2011 Dec; 67(4), p. 1666-8.
PMID: 21466507
Related Citations
Sufficient dimension reduction for censored regressions.
Authors: Lu W.
, Li L.
.
Source: Biometrics, 2011 Jun; 67(2), p. 513-23.
PMID: 20880013
Related Citations
Cox regression model with time-varying coefficients in nested case-control studies.
Authors: Liu M.
, Lu W.
, Shore R.E.
, Zeleniuch-Jacquotte A.
.
Source: Biostatistics (oxford, England), 2010 Oct; 11(4), p. 693-706.
PMID: 20525697
Related Citations
On Sparse Estimation for Semiparametric Linear Transformation Models.
Authors: Zhang H.H.
, Lu W.
, Wang H.
.
Source: Journal Of Multivariate Analysis, 2010-08-01 00:00:00.0; 101(7), p. 1594-1606.
PMID: 20473356
Related Citations
Sparse Estimation and Inference for Censored Median Regression.
Authors: Shows J.H.
, Lu W.
, Zhang H.H.
.
Source: Journal Of Statistical Planning And Inference, 2010 Jul; 140(7), p. 1903-1917.
PMID: 20607110
Related Citations
On Estimation of Partially Linear Transformation Models.
Authors: Lu W.
, Zhang H.H.
.
Source: Journal Of The American Statistical Association, 2010-06-01 00:00:00.0; 105(490), p. 683-691.
PMID: 20802823
Related Citations
Haplotype-based pharmacogenetic analysis for longitudinal quantitative traits in the presence of dropout.
Authors: Tzeng J.Y.
, Lu W.
, Farmen M.W.
, Liu Y.
, Sullivan P.F.
.
Source: Journal Of Biopharmaceutical Statistics, 2010 Mar; 20(2), p. 334-50.
PMID: 20309762
Related Citations
EFFICIENT ESTIMATION FOR AN ACCELERATED FAILURE TIME MODEL WITH A CURE FRACTION.
Authors: Lu W.
.
Source: Statistica Sinica, 2010; 20, p. 661-674.
PMID: 20414460
Related Citations