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Survival Analysis With Correlated Endpoints
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Book Synopsis Survival Analysis with Correlated Endpoints by : Takeshi Emura
Download or read book Survival Analysis with Correlated Endpoints written by Takeshi Emura and published by Springer. This book was released on 2019-03-25 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to advanced statistical methods for analyzing survival data involving correlated endpoints. In particular, it describes statistical methods for applying Cox regression to two correlated endpoints by accounting for dependence between the endpoints with the aid of copulas. The practical advantages of employing copula-based models in medical research are explained on the basis of case studies. In addition, the book focuses on clustered survival data, especially data arising from meta-analysis and multicenter analysis. Consequently, the statistical approaches presented here employ a frailty term for heterogeneity modeling. This brings the joint frailty-copula model, which incorporates a frailty term and a copula, into a statistical model. The book also discusses advanced techniques for dealing with high-dimensional gene expressions and developing personalized dynamic prediction tools under the joint frailty-copula model. To help readers apply the statistical methods to real-world data, the book provides case studies using the authors’ original R software package (freely available in CRAN). The emphasis is on clinical survival data, involving time-to-tumor progression and overall survival, collected on cancer patients. Hence, the book offers an essential reference guide for medical statisticians and provides researchers with advanced, innovative statistical tools. The book also provides a concise introduction to basic multivariate survival models.
Book Synopsis Survival Analysis with Correlated Endpoints by : Takeshi Emura
Download or read book Survival Analysis with Correlated Endpoints written by Takeshi Emura and published by . This book was released on 2019 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to advanced statistical methods for analyzing survival data involving correlated endpoints. In particular, it describes statistical methods for applying Cox regression to two correlated endpoints by accounting for dependence between the endpoints with the aid of copulas. The practical advantages of employing copula-based models in medical research are explained on the basis of case studies. In addition, the book focuses on clustered survival data, especially data arising from meta-analysis and multicenter analysis. Consequently, the statistical approaches presented here employ a frailty term for heterogeneity modeling. This brings the joint frailty-copula model, which incorporates a frailty term and a copula, into a statistical model. The book also discusses advanced techniques for dealing with high-dimensional gene expressions and developing personalized dynamic prediction tools under the joint frailty-copula model. To help readers apply the statistical methods to real-world data, the book provides case studies using the authors' original R software package (freely available in CRAN). The emphasis is on clinical survival data, involving time-to-tumor progression and overall survival, collected on cancer patients. Hence, the book offers an essential reference guide for medical statisticians and provides researchers with advanced, innovative statistical tools. The book also provides a concise introduction to basic multivariate survival models.
Book Synopsis Survival Analysis with Uncertain Endpoints Using an Internal Validation Subsample by : Jarcy Zee
Download or read book Survival Analysis with Uncertain Endpoints Using an Internal Validation Subsample written by Jarcy Zee and published by . This book was released on 2014 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a true survival endpoint cannot be assessed for some subjects, an alternative endpoint that measures the true endpoint with error may be collected, which often occurs when the true endpoint is too invasive or costly to obtain. We develop nonparametric and semiparametric estimated likelihood functions that incorporate both uncertain endpoints available for all participants and true endpoints available for only a subset of participants. We propose maximum estimated likelihood estimators of the discrete survival function of time to the true endpoint and of a hazard ratio representing the effect of a binary or continuous covariate assuming a proportional hazards model. We show that the proposed estimators are consistent and asymptotically normal and develop the analytical forms of the variance estimators. Through extensive simulations, we also show that the proposed estimators have little bias compared to the naive estimator, which uses only uncertain endpoints, and are more efficient with moderate missingness compared to the complete-case estimator, which uses only available true endpoints. We illustrate the proposed method by estimating the risk of developing Alzheimer's disease using data from the Alzheimer's Disease Neuroimaging Initiative. Using our proposed semiparametric estimator, we develop optimal study design strategies to compare survival across treatment groups for a new trial with these data characteristics. We demonstrate how to calculate the optimal number of true events in the validation set with desired power using simulated data when assuming the baseline distribution of the true event, effect size, correlation between outcomes, and proportion of true outcomes that are missing can be estimated from pilot studies. We also propose a sample size formula that does not depend on baseline distribution of the true event and show that power calculated by the formula matches well with simulation based results. Using results from a Ginkgo Evaluation of Memory study, we calculate the number of true events in the validation set that would need to be observed for new studies comparing development of Alzheimer's disease among those with and without antihypertensive use, as well as the total number of subjects and number in the validation set to be recruited for these new trials.
Book Synopsis The Evaluation of Surrogate Endpoints by : Geert Molenberghs
Download or read book The Evaluation of Surrogate Endpoints written by Geert Molenberghs and published by Springer Science & Business Media. This book was released on 2005-02-28 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the latest research on a sensitive and controversial topic in a professional and well researched manner. Provides practical outlook as well as model guidelines and software tools that should be of interest to people who use the software tools described and those who do not. Related title by Co-author Geert Molenbergh has sold more than 3500 copies world wide. Provides dual viewpoints: from scientists in the industry as well as regulatory authorities.
Book Synopsis Survival Analysis Using S by : Mara Tableman
Download or read book Survival Analysis Using S written by Mara Tableman and published by CRC Press. This book was released on 2003-07-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Survival Analysis written by David Machin and published by John Wiley & Sons. This book was released on 2006-03-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well received in its first edition, Survival Analysis: A Practical Approach is completely revised to provide an accessible and practical guide to survival analysis techniques in diverse environments. Illustrated with many authentic examples, the book introduces basic statistical concepts and methods to construct survival curves, later developing them to encompass more specialised and complex models. During the years since the first edition there have been several new topics that have come to the fore and many new applications. Parallel developments in computer software programmes, used to implement these methodologies, are relied upon throughout the text to bring it up to date.
Book Synopsis Statistical Modelling of Survival Data with Random Effects by : Il Do Ha
Download or read book Statistical Modelling of Survival Data with Random Effects written by Il Do Ha and published by Springer. This book was released on 2018-01-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a groundbreaking introduction to the likelihood inference for correlated survival data via the hierarchical (or h-) likelihood in order to obtain the (marginal) likelihood and to address the computational difficulties in inferences and extensions. The approach presented in the book overcomes shortcomings in the traditional likelihood-based methods for clustered survival data such as intractable integration. The text includes technical materials such as derivations and proofs in each chapter, as well as recently developed software programs in R (“frailtyHL”), while the real-world data examples together with an R package, “frailtyHL” in CRAN, provide readers with useful hands-on tools. Reviewing new developments since the introduction of the h-likelihood to survival analysis (methods for interval estimation of the individual frailty and for variable selection of the fixed effects in the general class of frailty models) and guiding future directions, the book is of interest to researchers in medical and genetics fields, graduate students, and PhD (bio) statisticians.
Book Synopsis Survival Analysis Using Primary and Surrogate Endpoints by : Gail E. Tudor
Download or read book Survival Analysis Using Primary and Surrogate Endpoints written by Gail E. Tudor and published by . This book was released on 1991 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Survival Data by : D.R. Cox
Download or read book Analysis of Survival Data written by D.R. Cox and published by CRC Press. This book was released on 1984-06-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains many ideas on the analysis of survival data to present a comprehensive account of the field. The value of survival analysis is not confined to medical statistics, where the benefit of the analysis of data on such factors as life expectancy and duration of periods of freedom from symptoms of a disease as related to a treatment applied individual histories and so on, is obvious. The techniques also find important applications in industrial life testing and a range of subjects from physics to econometrics. In the eleven chapters of the book the methods and applications of are discussed and illustrated by examples.
Book Synopsis Statistical Methods for Paired Endpoints in Clinical Trials by : Chaoqun Mei
Download or read book Statistical Methods for Paired Endpoints in Clinical Trials written by Chaoqun Mei and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The results show that the degree of correlation between PFS1 and PFS2 is a key feature of using the GMI endpoint and net chance of GMI endpoint in trial design. Moderate to high correlation would improve the power significantly. The test based on the net chance of GMI endpoint is more powerful than log-rank test under moderate to high correlation. Furthermore, under a bivariate exponential model of Gumbel, the correspondence among P(GMI >= 1.3), hazard ratio (HR), and the net chance of GMI at 1.3 [Delta(1.3)] without selection bias are listed in Table 1, which demonstrates that 15% is too low for using the GMI endpoint if there is no selection bias in the clinical study. Motivated by the PFS ratio (or called GMI) endpoint in Chapter 5, for the purpose of comparing two treatments with time-to-event endpoint in the second-line therapy and correlated uncensored time-to-event in the first-line therapy, five different models are compared under different marginal distributions with different correlations by extensive simulations in Chapter 6. The regression analysis of restricted mean survival time (RMST) in difference or ratio model is recommended at low correlation, and the Cox proportional hazards (PH) regression model with PFS ratio (or called GMI) as the response is recommended at moderate to high correlation, regardless of the underlying marginal distributions.
Author :David G. Kleinbaum Publisher :Springer Science & Business Media ISBN 13 :9780387239187 Total Pages :616 pages Book Rating :4.2/5 (391 download)
Book Synopsis Survival Analysis by : David G. Kleinbaum
Download or read book Survival Analysis written by David G. Kleinbaum and published by Springer Science & Business Media. This book was released on 2005 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on survival analysis provides a straightforward and easy-to-follow introduction to the main concepts and techniques of the subject. It is based on numerous courses given by the author to students and researchers in the health sciences and is written with such readers in mind. Throughout, there is an emphasis on presenting each new topic motivated with real examples of a survival analysis investigation, and then presenting thorough analyses of real data sets. Each chapter concludes with practice exercises to help readers reinforce their understanding of the concepts covered in the chapter.
Book Synopsis The Frailty Model by : Luc Duchateau
Download or read book The Frailty Model written by Luc Duchateau and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readers will find in the pages of this book a treatment of the statistical analysis of clustered survival data. Such data are encountered in many scientific disciplines including human and veterinary medicine, biology, epidemiology, public health and demography. A typical example is the time to death in cancer patients, with patients clustered in hospitals. Frailty models provide a powerful tool to analyze clustered survival data. In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data. All programs used for these examples are available on the Springer website.
Book Synopsis Multiple Endpoint Problems in Survival Analysis by : James John Dignam
Download or read book Multiple Endpoint Problems in Survival Analysis written by James John Dignam and published by . This book was released on 1994 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Survival Analysis by : John P. Klein
Download or read book Survival Analysis written by John P. Klein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling Survival Data: Extending the Cox Model by : Terry M. Therneau
Download or read book Modeling Survival Data: Extending the Cox Model written by Terry M. Therneau and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for statistical practitioners, particularly those who design and analyze studies for survival and event history data. Building on recent developments motivated by counting process and martingale theory, it shows the reader how to extend the Cox model to analyze multiple/correlated event data using marginal and random effects. The focus is on actual data examples, the analysis and interpretation of results, and computation. The book shows how these new methods can be implemented in SAS and S-Plus, including computer code, worked examples, and data sets.
Book Synopsis Survival Analysis by : Rupert G. Miller
Download or read book Survival Analysis written by Rupert G. Miller and published by John Wiley & Sons. This book was released on 1981 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise summary of the statistical methods used in the analysis of survival data with censoring. Emphasizes recently developed nonparametric techniques. Outlines methods in detail and illustrates them with actual data. Discusses the theory behind each method. Includes numerous worked problems and numerical exercises.
Book Synopsis Analysis of Doubly Truncated Data by : Achim Dörre
Download or read book Analysis of Doubly Truncated Data written by Achim Dörre and published by Springer. This book was released on 2019-05-13 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to statistical methodologies used to analyze doubly truncated data. The first book exclusively dedicated to the topic, it provides likelihood-based methods, Bayesian methods, non-parametric methods, and linear regression methods. These procedures can be used to effectively analyze continuous data, especially survival data arising in biostatistics and economics. Because truncation is a phenomenon that is often encountered in non-experimental studies, the methods presented here can be applied to many branches of science. The book provides R codes for most of the statistical methods, to help readers analyze their data. Given its scope, the book is ideally suited as a textbook for students of statistics, mathematics, econometrics, and other fields.
