{"title":"A new approach to estimation of the proportional hazards model based on interval-censored data with missing covariates","authors":"Ruiwen Zhou, Huiqiong Li, Jianguo Sun, Niansheng Tang","doi":"10.1007/s10985-022-09550-y","DOIUrl":"https://doi.org/10.1007/s10985-022-09550-y","url":null,"abstract":"","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"335 - 355"},"PeriodicalIF":1.3,"publicationDate":"2022-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45516973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2022-01-01Epub Date: 2021-11-22DOI: 10.1007/s10985-021-09539-z
Song Zhang, Yang Qu, Yu Cheng, Oscar L Lopez, Abdus S Wahed
{"title":"Prognostic accuracy for predicting ordinal competing risk outcomes using ROC surfaces.","authors":"Song Zhang, Yang Qu, Yu Cheng, Oscar L Lopez, Abdus S Wahed","doi":"10.1007/s10985-021-09539-z","DOIUrl":"https://doi.org/10.1007/s10985-021-09539-z","url":null,"abstract":"<p><p>Many medical conditions are marked by a sequence of events in association with continuous changes in biomarkers. Few works have evaluated the overall accuracy of a biomarker in predicting disease progression. We thus extend the concept of receiver operating characteristic (ROC) surface and the volume under the surface (VUS) from multi-category outcomes to ordinal competing-risk outcomes that are also subject to noninformative censoring. Two VUS estimators are considered. One is based on the definition of the ROC surface and obtained by integrating the estimated ROC surface. The other is an inverse probability weighted U estimator that is built upon the equivalence of the VUS to the concordance probability between the marker and sequential outcomes. Both estimators have nice asymptotic results that can be derived using counting process techniques and U-statistics theory. We illustrate their good practical performances through simulations and applications to two studies of cognition and a transplant dataset.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"1-22"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39646768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2022-01-01Epub Date: 2021-11-25DOI: 10.1007/s10985-021-09540-6
Zhongwen Zhang, Xiaoguang Wang, Yingwei Peng
{"title":"An additive hazards frailty model with semi-varying coefficients.","authors":"Zhongwen Zhang, Xiaoguang Wang, Yingwei Peng","doi":"10.1007/s10985-021-09540-6","DOIUrl":"https://doi.org/10.1007/s10985-021-09540-6","url":null,"abstract":"<p><p>Proportional hazards frailty models have been extensively investigated and used to analyze clustered and recurrent failure times data. However, the proportional hazards assumption in the models may not always hold in practice. In this paper, we propose an additive hazards frailty model with semi-varying coefficients, which allows some covariate effects to be time-invariant while other covariate effects to be time-varying. The time-varying and time-invariant regression coefficients are estimated by a set of estimating equations, whereas the frailty parameter is estimated by the moment method. The large sample properties of the proposed estimators are established. The finite sample performance of the estimators is examined by simulation studies. The proposed model and estimation are illustrated with an analysis of data from a rehospitalization study of colorectal cancer patients.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"116-138"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39909943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Maximum likelihood estimation for length-biased and interval-censored data with a nonsusceptible fraction.","authors":"Pao-Sheng Shen, Yingwei Peng, Hsin-Jen Chen, Chyong-Mei Chen","doi":"10.1007/s10985-021-09536-2","DOIUrl":"https://doi.org/10.1007/s10985-021-09536-2","url":null,"abstract":"<p><p>Left-truncated data are often encountered in epidemiological cohort studies, where individuals are recruited according to a certain cross-sectional sampling criterion. Length-biased data, a special case of left-truncated data, assume that the incidence of the initial event follows a homogeneous Poisson process. In this article, we consider an analysis of length-biased and interval-censored data with a nonsusceptible fraction. We first point out the importance of a well-defined target population, which depends on the prior knowledge for the support of the failure times of susceptible individuals. Given the target population, we proceed with a length-biased sampling and draw valid inferences from a length-biased sample. When there is no covariate, we show that it suffices to consider a discrete version of the survival function for the susceptible individuals with jump points at the left endpoints of the censoring intervals when maximizing the full likelihood function, and propose an EM algorithm to obtain the nonparametric maximum likelihood estimates of nonsusceptible rate and the survival function of the susceptible individuals. We also develop a novel graphical method for assessing the stationarity assumption. When covariates are present, we consider the Cox proportional hazards model for the survival time of the susceptible individuals and the logistic regression model for the probability of being susceptible. We construct the full likelihood function and obtain the nonparametric maximum likelihood estimates of the regression parameters by employing the EM algorithm. The large sample properties of the estimates are established. The performance of the method is assessed by simulations. The proposed model and method are applied to data from an early-onset diabetes mellitus study.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"68-88"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39497382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2022-01-01Epub Date: 2022-01-12DOI: 10.1007/s10985-021-09541-5
Mihai C Giurcanu, Theodore G Karrison
{"title":"Nonparametric inference in the accelerated failure time model using restricted means.","authors":"Mihai C Giurcanu, Theodore G Karrison","doi":"10.1007/s10985-021-09541-5","DOIUrl":"https://doi.org/10.1007/s10985-021-09541-5","url":null,"abstract":"<p><p>We propose a nonparametric estimate of the scale-change parameter for characterizing the difference between two survival functions under the accelerated failure time model using an estimating equation based on restricted means. Advantages of our restricted means based approach compared to current nonparametric procedures is the strictly monotone nature of the estimating equation as a function of the scale-change parameter, leading to a unique root, as well as the availability of a direct standard error estimate, avoiding the need for hazard function estimation or re-sampling to conduct inference. We derive the asymptotic properties of the proposed estimator for fixed and for random point of restriction. In a simulation study, we compare the performance of the proposed estimator with parametric and nonparametric competitors in terms of bias, efficiency, and accuracy of coverage probabilities. The restricted means based approach provides unbiased estimates and accurate confidence interval coverage rates with efficiency ranging from 81% to 95% relative to fitting the correct parametric model. An example from a randomized clinical trial in head and neck cancer is provided to illustrate an application of the methodology in practice.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"23-39"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39902249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2022-01-01Epub Date: 2022-01-09DOI: 10.1007/s10985-021-09543-3
Yanlin Tang, Xinyuan Song, Grace Yun Yi
{"title":"Bayesian analysis under accelerated failure time models with error-prone time-to-event outcomes.","authors":"Yanlin Tang, Xinyuan Song, Grace Yun Yi","doi":"10.1007/s10985-021-09543-3","DOIUrl":"https://doi.org/10.1007/s10985-021-09543-3","url":null,"abstract":"<p><p>We consider accelerated failure time models with error-prone time-to-event outcomes. The proposed models extend the conventional accelerated failure time model by allowing time-to-event responses to be subject to measurement errors. We describe two measurement error models, a logarithm transformation regression measurement error model and an additive error model with a positive increment, to delineate possible scenarios of measurement error in time-to-event outcomes. We develop Bayesian approaches to conduct statistical inference. Efficient Markov chain Monte Carlo algorithms are developed to facilitate the posterior inference. Extensive simulation studies are conducted to assess the performance of the proposed method, and an application to a study of Alzheimer's disease is presented.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"139-168"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39658418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2022-01-01Epub Date: 2021-10-05DOI: 10.1007/s10985-021-09537-1
Weiwei Wang, Yijun Wang, Xiaobing Zhao
{"title":"Semiparametric analysis of multivariate panel count data with nonlinear interactions.","authors":"Weiwei Wang, Yijun Wang, Xiaobing Zhao","doi":"10.1007/s10985-021-09537-1","DOIUrl":"https://doi.org/10.1007/s10985-021-09537-1","url":null,"abstract":"<p><p>Multivariate panel count data frequently arise in follow up studies involving several related types of recurrent events. For univariate panel count data, several varying coefficient models have been developed. However, varying coefficient models for multivariate panel count data remain to be studied. In this paper, we propose a varying coefficient mean model for multivariate panel count data to describe the possible nonlinear interact effects between the covariates and the local logarithm partial likelihood procedure is considered to estimate the unknown covariate effects. Furthermore, a Breslow-type estimator is constructed for the baseline mean functions. The consistency and asymptotic normality of the proposed estimators are established under some mild conditions. The utility of the proposed approach is evaluated by some numerical simulations and an application to a dataset of skin cancer study.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"89-115"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39487484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2022-01-01Epub Date: 2021-10-29DOI: 10.1007/s10985-021-09538-0
Jianghao Li, Sin-Ho Jung
{"title":"Sample size calculation for clustered survival data under subunit randomization.","authors":"Jianghao Li, Sin-Ho Jung","doi":"10.1007/s10985-021-09538-0","DOIUrl":"https://doi.org/10.1007/s10985-021-09538-0","url":null,"abstract":"<p><p>Each cluster consists of multiple subunits from which outcome data are collected. In a subunit randomization trial, subunits are randomized into different intervention arms. Observations from subunits within each cluster tend to be positively correlated due to the shared common frailties, so that the outcome data from a subunit randomization trial have dependency between arms as well as within each arm. For subunit randomization trials with a survival endpoint, few methods have been proposed for sample size calculation showing the clear relationship between the joint survival distribution between subunits and the sample size, especially when the number of subunits from each cluster is variable. In this paper, we propose a closed form sample size formula for weighted rank test to compare the marginal survival distributions between intervention arms under subunit randomization, possibly with variable number of subunits among clusters. We conduct extensive simulations to evaluate the performance of our formula under various design settings, and demonstrate our sample size calculation method with some real clinical trials.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"28 1","pages":"40-67"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39828301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lifetime Data AnalysisPub Date : 2021-10-01Epub Date: 2021-07-02DOI: 10.1007/s10985-021-09526-4
Liya Fu, Zhuoran Yang, Yan Zhou, You-Gan Wang
{"title":"An efficient Gehan-type estimation for the accelerated failure time model with clustered and censored data.","authors":"Liya Fu, Zhuoran Yang, Yan Zhou, You-Gan Wang","doi":"10.1007/s10985-021-09526-4","DOIUrl":"https://doi.org/10.1007/s10985-021-09526-4","url":null,"abstract":"<p><p>In medical studies, the collected covariates contain underlying outliers. For clustered/longitudinal data with censored observations, the traditional Gehan-type estimator is robust to outliers in response but sensitive to outliers in the covariate domain, and it also ignores the within-cluster correlations. To take account of within-cluster correlations, varying cluster sizes, and outliers in covariates, we propose weighted Gehan-type estimating functions for parameter estimation in the accelerated failure time model for clustered data. We provide the asymptotic properties of the resulting estimators and carry out simulation studies to evaluate the performance of the proposed method under a variety of realistic settings. The simulation results demonstrate that the proposed method is robust to the outliers existing in the covariate domain and lead to much more efficient estimators when a strong within-cluster correlation exists. Finally, the proposed method is applied to two medical datasets and more reliable and convincing results are hence obtained.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":"27 4","pages":"679-709"},"PeriodicalIF":1.3,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10985-021-09526-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39064752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}