Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Small Sample Properties of Censored Data Estimators of the Cumulative Hazard Rate, Survivor Function, and Estimators of Their Variance
Author: Small Sample Properties of Censored Data Estimators of the Cumulative Hazard Rate, Survivor Function, and Estimators of Their Variance
Author: J. P. KleinSurvival Analysis
Author: John P. KleinPublisher: Springer Science & Business Media
ISBN: 1475727283
Category : Medical
Languages : en
Pages : 508
Book Description
Making complex methods more accessible to applied researchers without an advanced mathematical background, the authors present the essence of new techniques available, as well as classical techniques, and apply them to data. Practical suggestions for implementing the various methods are set off in a series of practical notes at the end of each section, while technical details of the derivation of the techniques are sketched in the technical notes. This book will thus be useful for investigators who need to analyse censored or truncated life time data, and as a textbook for a graduate course in survival analysis, the only prerequisite being a standard course in statistical methodology.
Small Sample Properties of Two Survival Function Estimators Based on Incomplete Data
Author: Yuan-Yan ChenPublisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
For estimating an underlying survival distribution, we consider two estimators based on a randomly right-censored sample: The traditional Product Limit Estimator (PLE), introduced by Kaplan and Meier (1958), and a competitor, the Piecewise Exponential Estimator (PEXE), introduced by Kitchin, Langberg, and Proschan (1980a). Under a proportional hazards model we present formulas for the mean and variance of the PLE and find upper and lower bounds for mean and variance of the PEXE. These new expressions for finite sample sizes are compared with known asymptotic results. (Author).
Modern Clinical Trial Analysis
Author: Wan TangPublisher: Springer Science & Business Media
ISBN: 1461443229
Category : Medical
Languages : en
Pages : 256
Book Description
This volume covers classic as well as cutting-edge topics on the analysis of clinical trial data in biomedical and psychosocial research and discusses each topic in an expository and user-friendly fashion. The intent of the book is to provide an overview of the primary statistical and data analytic issues associated with each of the selected topics, followed by a discussion of approaches for tackling such issues and available software packages for carrying out analyses. While classic topics such as survival data analysis, analysis of diagnostic test data and assessment of measurement reliability are well known and covered in depth by available topic-specific texts, this volume serves a different purpose: it provides a quick introduction to each topic for self-learning, particularly for those who have not done any formal coursework on a given topic but must learn it due to its relevance to their multidisciplinary research. In addition, the chapters on these classic topics will reflect issues particularly relevant to modern clinical trials such as longitudinal designs and new methods for analyzing data from such study designs. The coverage of these topics provides a quick introduction to these important statistical issues and methods for addressing them. As with the classic topics, this part of the volume on modern topics will enable researchers to grasp the statistical methods for addressing these emerging issues underlying modern clinical trials and to apply them to their research studies.
Nonparametric Estimation of Hazard Functions
Author: Samuel Shangwu WuSurvival Analysis Using S
Author: Mara TablemanPublisher: CRC Press
ISBN: 0203501411
Category : Mathematics
Languages : en
Pages : 277
Book Description
Survival Analysis Using S: Analysis of Time-to-Event Data is designed as a text for a one-semester or one-quarter course in survival analysis for upper-level or graduate students in statistics, biostatistics, and epidemiology. Prerequisites are a standard pre-calculus first course in probability and statistics, and a course in applied linear regression models. No prior knowledge of S or R is assumed. A wide choice of exercises is included, some intended for more advanced students with a first course in mathematical statistics. The authors emphasize parametric log-linear models, while also detailing nonparametric procedures along with model building and data diagnostics. Medical and public health researchers will find the discussion of cut point analysis with bootstrap validation, competing risks and the cumulative incidence estimator, and the analysis of left-truncated and right-censored data invaluable. The bootstrap procedure checks robustness of cut point analysis and determines cut point(s). In a chapter written by Stephen Portnoy, censored regression quantiles - a new nonparametric regression methodology (2003) - is developed to identify important forms of population heterogeneity and to detect departures from traditional Cox models. By generalizing the Kaplan-Meier estimator to regression models for conditional quantiles, this methods provides a valuable complement to traditional Cox proportional hazards approaches.
Estimators of Long-term Transition Probabilities of Multistate Stochastic Processes
Author: Steven Matthew DayPublisher:
ISBN:
Category : Event history analysis
Languages : en
Pages : 288
Book Description
Survival and Event History Analysis
Author: Odd AalenPublisher: Springer Science & Business Media
ISBN: 038768560X
Category : Mathematics
Languages : en
Pages : 550
Book Description
The aim of this book is to bridge the gap between standard textbook models and a range of models where the dynamic structure of the data manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and stochastic integrals fit very nicely with censored data. Beginning with standard analyses such as Kaplan-Meier plots and Cox regression, the presentation progresses to the additive hazard model and recurrent event data. Stochastic processes are also used as natural models for individual frailty; they allow sensible interpretations of a number of surprising artifacts seen in population data. The stochastic process framework is naturally connected to causality. The authors show how dynamic path analyses can incorporate many modern causality ideas in a framework that takes the time aspect seriously. To make the material accessible to the reader, a large number of practical examples, mainly from medicine, are developed in detail. Stochastic processes are introduced in an intuitive and non-technical manner. The book is aimed at investigators who use event history methods and want a better understanding of the statistical concepts. It is suitable as a textbook for graduate courses in statistics and biostatistics.
The Statistical Analysis of Interval-censored Failure Time Data
Author: Jianguo SunPublisher: Springer
ISBN: 0387371192
Category : Mathematics
Languages : en
Pages : 310
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.