A Simulation Analysis of Cox Non-parametric Regression Model with Random Right Censored Data

A Simulation Analysis of Cox Non-parametric Regression Model with Random Right Censored Data PDF Author: Wen Ku
Publisher:
ISBN:
Category : Regression analysis
Languages : en
Pages : 350

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Book Description

A Simulation Analysis of Cox Non-parametric Regression Model with Random Right Censored Data

A Simulation Analysis of Cox Non-parametric Regression Model with Random Right Censored Data PDF Author: Wen Ku
Publisher:
ISBN:
Category : Regression analysis
Languages : en
Pages : 350

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Book Description


The Cox Model and Its Applications

The Cox Model and Its Applications PDF Author: Mikhail Nikulin
Publisher: Springer
ISBN: 3662493322
Category : Mathematics
Languages : en
Pages : 131

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Book Description
This book will be of interest to readers active in the fields of survival analysis, genetics, ecology, biology, demography, reliability and quality control. Since Sir David Cox’s pioneering work in 1972, the proportional hazards model has become the most important model in survival analysis. The success of the Cox model stimulated further studies in semiparametric and nonparametric theories, counting process models, study designs in epidemiology, and the development of many other regression models that could offer more flexible or more suitable approaches in data analysis. Flexible semiparametric regression models are increasingly being used to relate lifetime distributions to time-dependent explanatory variables. Throughout the book, various recent statistical models are developed in close connection with specific data from experimental studies in clinical trials or from observational studies.

Interval-Censored Time-to-Event Data

Interval-Censored Time-to-Event Data PDF Author: Ding-Geng (Din) Chen
Publisher: CRC Press
ISBN: 1466504250
Category : Mathematics
Languages : en
Pages : 435

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Book Description
Interval-Censored Time-to-Event Data: Methods and Applications collects the most recent techniques, models, and computational tools for interval-censored time-to-event data. Top biostatisticians from academia, biopharmaceutical industries, and government agencies discuss how these advances are impacting clinical trials and biomedical research. Divided into three parts, the book begins with an overview of interval-censored data modeling, including nonparametric estimation, survival functions, regression analysis, multivariate data analysis, competing risks analysis, and other models for interval-censored data. The next part presents interval-censored methods for current status data, Bayesian semiparametric regression analysis of interval-censored data with monotone splines, Bayesian inferential models for interval-censored data, an estimator for identifying causal effect of treatment, and consistent variance estimation for interval-censored data. In the final part, the contributors use Monte Carlo simulation to assess biases in progression-free survival analysis as well as correct bias in interval-censored time-to-event applications. They also present adaptive decision making methods to optimize the rapid treatment of stroke, explore practical issues in using weighted logrank tests, and describe how to use two R packages. A practical guide for biomedical researchers, clinicians, biostatisticians, and graduate students in biostatistics, this volume covers the latest developments in the analysis and modeling of interval-censored time-to-event data. It shows how up-to-date statistical methods are used in biopharmaceutical and public health applications.

Cox Regression with Survival-time-dependent Missing Covariate Values

Cox Regression with Survival-time-dependent Missing Covariate Values PDF Author: Yanyao Yi
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Analysis with time-to-event data in clinical and epidemiological studies often encounters missing covariate values and the missing at random assumption is commonly adopted (e.g., Qi et al., 2005), which assumes that missingness depends on the observed data, including the observed outcome which is the minimum of survival and censoring time. However, it is conceivable that in certain settings, missingness of covariate values is related to the survival time but not to the censoring time (Rathouz, 2007). This is especially so when covariate missingness is related with an unmeasured variable that is affected by survival time but does not causally affect survival. If this is the case, then the covariate missingness is not at random as the survival time is censored, and it creates a challenge in data analysis. In this article, we propose an approach to deal with such survival-time-dependent covariate missingness based on the well known Cox proportional hazard model. Our method is based on inverse propensity weighting with the propensity estimated by nonparametric kernel regression. Our estimators are consistent and asymptotically normal, and their finite- sample performance is examined through simulation. An application to a real-data example is included for illustration.

Analysis of Censored Data

Analysis of Censored Data PDF Author: Hira L. Koul
Publisher: IMS
ISBN: 9780940600393
Category : Censored observations (Statistics)
Languages : en
Pages : 310

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Book Description


Handbook of Survival Analysis

Handbook of Survival Analysis PDF Author: John P. Klein
Publisher: CRC Press
ISBN: 146655567X
Category : Mathematics
Languages : en
Pages : 635

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Book Description
Handbook of Survival Analysis presents modern techniques and research problems in lifetime data analysis. This area of statistics deals with time-to-event data that is complicated by censoring and the dynamic nature of events occurring in time. With chapters written by leading researchers in the field, the handbook focuses on advances in survival analysis techniques, covering classical and Bayesian approaches. It gives a complete overview of the current status of survival analysis and should inspire further research in the field. Accessible to a wide range of readers, the book provides: An introduction to various areas in survival analysis for graduate students and novices A reference to modern investigations into survival analysis for more established researchers A text or supplement for a second or advanced course in survival analysis A useful guide to statistical methods for analyzing survival data experiments for practicing statisticians

The Statistical Analysis of Interval-censored Failure Time Data

The Statistical Analysis of Interval-censored Failure Time Data PDF Author: Jianguo Sun
Publisher: Springer
ISBN: 0387371192
Category : Mathematics
Languages : en
Pages : 310

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Book Description
This book collects and unifies statistical models and methods that have been proposed for analyzing interval-censored failure time data. It provides the first comprehensive coverage of the topic of interval-censored data and complements the books on right-censored data. The focus of the book is on nonparametric and semiparametric inferences, but it also describes parametric and imputation approaches. This book provides an up-to-date reference for people who are conducting research on the analysis of interval-censored failure time data as well as for those who need to analyze interval-censored data to answer substantive questions.

The Statistical Analysis of Failure Time Data

The Statistical Analysis of Failure Time Data PDF Author: John D. Kalbfleisch
Publisher: John Wiley & Sons
ISBN: 1118031237
Category : Mathematics
Languages : en
Pages : 462

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Book Description
Contains additional discussion and examples on left truncationas well as material on more general censoring and truncationpatterns. Introduces the martingale and counting process formulation swillbe in a new chapter. Develops multivariate failure time data in a separate chapterand extends the material on Markov and semi Markovformulations. Presents new examples and applications of data analysis.

Emerging Topics in Modeling Interval-Censored Survival Data

Emerging Topics in Modeling Interval-Censored Survival Data PDF Author: Jianguo Sun
Publisher: Springer Nature
ISBN: 3031123662
Category : Mathematics
Languages : en
Pages : 322

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Book Description
This book primarily aims to discuss emerging topics in statistical methods and to booster research, education, and training to advance statistical modeling on interval-censored survival data. Commonly collected from public health and biomedical research, among other sources, interval-censored survival data can easily be mistaken for typical right-censored survival data, which can result in erroneous statistical inference due to the complexity of this type of data. The book invites a group of internationally leading researchers to systematically discuss and explore the historical development of the associated methods and their computational implementations, as well as emerging topics related to interval-censored data. It covers a variety of topics, including univariate interval-censored data, multivariate interval-censored data, clustered interval-censored data, competing risk interval-censored data, data with interval-censored covariates, interval-censored data from electric medical records, and misclassified interval-censored data. Researchers, students, and practitioners can directly make use of the state-of-the-art methods covered in the book to tackle their problems in research, education, training and consultation.

Survival Analysis: State of the Art

Survival Analysis: State of the Art PDF Author: John P. Klein
Publisher: Springer Science & Business Media
ISBN: 9401579830
Category : Mathematics
Languages : en
Pages : 446

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Book Description
Survival analysis is a highly active area of research with applications spanning the physical, engineering, biological, and social sciences. In addition to statisticians and biostatisticians, researchers in this area include epidemiologists, reliability engineers, demographers and economists. The economists survival analysis by the name of duration analysis and the analysis of transition data. We attempted to bring together leading researchers, with a common interest in developing methodology in survival analysis, at the NATO Advanced Research Workshop. The research works collected in this volume are based on the presentations at the Workshop. Analysis of survival experiments is complicated by issues of censoring, where only partial observation of an individual's life length is available and left truncation, where individuals enter the study group if their life lengths exceed a given threshold time. Application of the theory of counting processes to survival analysis, as developed by the Scandinavian School, has allowed for substantial advances in the procedures for analyzing such experiments. The increased use of computer intensive solutions to inference problems in survival analysis~ in both the classical and Bayesian settings, is also evident throughout the volume. Several areas of research have received special attention in the volume.