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Essays On The Assumption Of Proportional Hazards In Cox Regression
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Book Synopsis Essays on the Assumption of Proportional Hazards in Cox Regression by : Inger Persson
Download or read book Essays on the Assumption of Proportional Hazards in Cox Regression written by Inger Persson and published by Uppsala Universitet. This book was released on 2002-04-01 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Selected Methods for Verifying the Proportional Hazards Assumption for Cox Regression by : Shelly Lenae Carter-Campbell
Download or read book Applications of Selected Methods for Verifying the Proportional Hazards Assumption for Cox Regression written by Shelly Lenae Carter-Campbell and published by . This book was released on 1989 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proportional Hazards Regression by : John O'Quigley
Download or read book Proportional Hazards Regression written by John O'Quigley and published by Springer Science & Business Media. This book was released on 2008-01-25 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The place in survival analysis now occupied by proportional hazards models and their generalizations is so large that it is no longer conceivable to offer a course on the subject without devoting at least half of the content to this topic alone. This book focuses on the theory and applications of a very broad class of models – proportional hazards and non-proportional hazards models, the former being viewed as a special case of the latter – which underlie modern survival analysis. Researchers and students alike will find that this text differs from most recent works in that it is mostly concerned with methodological issues rather than the analysis itself.
Book Synopsis Inference for Cox's Regression Model Via a New Version of Empirical Likelihood by : Ali Jinnah
Download or read book Inference for Cox's Regression Model Via a New Version of Empirical Likelihood written by Ali Jinnah and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Cox Proportional Hazard Model is one of the most popular tools used in the study of Survival Analysis. Empirical Likelihood (EL) method has been used to study the Cox Proportional Hazard Model. In recent work by Qin and Jing (2001), empirical likelihood based confidence region is constructed with the assumption that the baseline hazard function is known. However, in Cox's regression model the baseline hazard function is unspecified. In this thesis, we re-formulate empirical likelihood for the vector of regression parameters by estimating the baseline hazard function. The EL confidence regions are obtained accordingly. In addition, Adjusted Empirical Likelihood (AEL) method is proposed. Furthermore, we conduct extensive simulation studies to evaluate the performance of the proposed empirical likelihood methods in terms of coverage probabilities by comparing with the Normal Approximation based method. The simulation studies show that all the three methods produce similar coverage probabilities.
Book Synopsis The Cox Model and Its Applications by : Mikhail Nikulin
Download or read book The Cox Model and Its Applications written by Mikhail Nikulin and published by Springer. This book was released on 2016-04-11 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Comparison of Statistical Tests for Assessing the Proportional Hazards Assumption for the Cox Model by :
Download or read book A Comparison of Statistical Tests for Assessing the Proportional Hazards Assumption for the Cox Model written by and published by . This book was released on 2001 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Prediction in Clinical Survival Analysis by : Hans van Houwelingen
Download or read book Dynamic Prediction in Clinical Survival Analysis written by Hans van Houwelingen and published by CRC Press. This book was released on 2011-11-09 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a huge amount of literature on statistical models for the prediction of survival after diagnosis of a wide range of diseases like cancer, cardiovascular disease, and chronic kidney disease. Current practice is to use prediction models based on the Cox proportional hazards model and to present those as static models for remaining lifetime a
Book Synopsis A Comparison of Test Statistics for Assessing the Proportional Hazards Assumption of Cox's Model by : Nicholas Hakavuna Ng'andu
Download or read book A Comparison of Test Statistics for Assessing the Proportional Hazards Assumption of Cox's Model written by Nicholas Hakavuna Ng'andu and published by . This book was released on 1994 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essays on Semiparametric Cox Proportional Hazard Models by : Huiyin Zhang
Download or read book Essays on Semiparametric Cox Proportional Hazard Models written by Huiyin Zhang and published by . This book was released on 2009 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation I study different versions of the semiparametric proportional hazard duration model and their practical applications under both frequentist and Bayesian econometrics frameworks. I use the unemployment spell data set that is created from the Panel Study of Income Dynamics (PSID). In Chapter 1 I study the effects of unemployment compensation and other important sociodemographic factors on unemployment duration. Whether duration dependence follows a particular function form is also examined. Discrete, semiparametric, proportional hazard models are used and compared among different specifications. I allow for nonparametric estimation of the effect of time on the unemployment exit rate. Because unobserved individual heterogeneity has the potential to bias the estimation results, we also consider gamma heterogeneity as an additional source of error in the hazard model (i.e., the so called mixed proportional hazard model, MPH). I find that the nonparametric baseline hazard estimations capture very well the shape of the empirical duration, which often does not belong to a specific parametric family; and unemployment insurance and socio-demographic aspects have significant impacts on the unemployment spell. In the second chapter I test whether different ways to resume work, such as new job and recall, have different duration behaviors. Hence a semiparametric dependent competing risks proportional hazard model is specified. Identifiability of such model is also discussed. By assuming linearity on the baseline hazard at each time interval, I allow for unrestricted correlation between the competing risks. My model guarantees that the unobserved failure occurs later than the observed failure at any possible time point, and censored observations are accommodated explicitly in the model specification. The estimated correlation coefficient suggests that recall duration and new job duration have a positive relationship that may not be negligible. We also find that there is significant difference in the hazard structure of returning to the same employer and a different employer. Different from the first two chapters, in the third chapter I investigate the ordered probit duration model semiparametrically using the Bayesian Markov Chain Monte Carlo (MCMC) methods. I develop and estimate the model without considering unobserved heterogeneity, and noninformative priors are assumed for both the baseline hazard and regressor parameters. Hybrid Metropolis-Hastings/Gibbs sampler is employed to speed up chain mixture. Convergence of the chains is assessed by the Gelman-Rubin scale reduction factor. Applications on the PSID unemployment duration data demonstrate that the proposed model and estimation method perform well.
Book Synopsis Advances In Statistical Modeling And Inference: Essays In Honor Of Kjell A Doksum by : Vijay Nair
Download or read book Advances In Statistical Modeling And Inference: Essays In Honor Of Kjell A Doksum written by Vijay Nair and published by World Scientific. This book was released on 2007-03-15 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been major developments in the field of statistics over the last quarter century, spurred by the rapid advances in computing and data-measurement technologies. These developments have revolutionized the field and have greatly influenced research directions in theory and methodology. Increased computing power has spawned entirely new areas of research in computationally-intensive methods, allowing us to move away from narrowly applicable parametric techniques based on restrictive assumptions to much more flexible and realistic models and methods. These computational advances have also led to the extensive use of simulation and Monte Carlo techniques in statistical inference. All of these developments have, in turn, stimulated new research in theoretical statistics.This volume provides an up-to-date overview of recent advances in statistical modeling and inference. Written by renowned researchers from across the world, it discusses flexible models, semi-parametric methods and transformation models, nonparametric regression and mixture models, survival and reliability analysis, and re-sampling techniques. With its coverage of methodology and theory as well as applications, the book is an essential reference for researchers, graduate students, and practitioners.
Book Synopsis A Mixture Model in Survival Analysis Using Cox Proportional Hazards Regression and a Binary Mixing Distribution by : Judy P. Sy
Download or read book A Mixture Model in Survival Analysis Using Cox Proportional Hazards Regression and a Binary Mixing Distribution written by Judy P. Sy and published by . This book was released on 1994 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedic Companion to Medical Statistics by : Brian S. Everitt
Download or read book Encyclopaedic Companion to Medical Statistics written by Brian S. Everitt and published by John Wiley & Sons. This book was released on 2011-06-20 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical methodology is of great importance to medical research and clinical practice. The Encyclopaedic Companion to Medical Statistics contains readable accounts of the key topics central to current research and practice. Each entry has been written by an individual chosen for both their expertise in the field and their ability to communicate statistical concepts successfully to medical researchers. Real examples from the biomedical literature and relevant illustrations feature in many entries and extensive cross–referencing signposts the reader to related entries. Key Features: Contains accounts of over 400 statistical topics central to current medical research. 80% of first edition entries updated and revised. Presents the latest techniques used at the cutting edge of medical research. Covers common errors in statistical analyses in medicine. Real examples from the biomedical literature and relevant illustrations feature throughout. Contains contributions from over 70 experts in the field. Medical researchers, researchers and practitioners in medical research and statistics will benefit greatly from this book.
Book Synopsis Survival Analysis Using Cox Proportional Hazards Model by : Binod Shrestha
Download or read book Survival Analysis Using Cox Proportional Hazards Model written by Binod Shrestha and published by . This book was released on 2010 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantitative Longitudinal Data Analysis by : Vernon Gayle
Download or read book Quantitative Longitudinal Data Analysis written by Vernon Gayle and published by Bloomsbury Publishing. This book was released on 2020-12-10 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published Open Access under a Creative Commons license as What is Quantitative Longitudinal Data Analysis?, this title is now also available as part of the Bloomsbury Research Methods series. Across the social sciences, there is widespread agreement that quantitative longitudinal research designs offer analysts powerful scientific data resources. But, to date, many texts on analysing longitudinal social analysis surveys have been written from a statistical, rather than a social science data analysis perspective and they lack adequate coverage of common practical challenges associated with social science data analyses. This book provides a practical and up-to-date introduction to influential approaches to quantitative longitudinal data analysis in the social sciences. The book introduces definitions and terms, explains the relative attractions of such a longitudinal design, and offers an introduction to the main techniques of analysis, explaining their requirements, statistical properties and their substantive contribution.
Book Synopsis Cox Model for Interval Censored Data in Breast Cancer Follow-Up Studies by :
Download or read book Cox Model for Interval Censored Data in Breast Cancer Follow-Up Studies written by and published by . This book was released on 2004 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall objective of this research proposal is semi-parametric inference of the Cox proportional hazards (PH) regression model for a survival function Pr(X> x I Z = z) = S(x I z) = S 0 (x)ezbeta, where X is a time-to-event variable. which is subject to interval censoring, Z represents the covariates, S0 is a baseline survival function, and beta represents the regression coefficients. The main objective of our research is to develop asymptotic inferences of the generalized maximum likelihood estimators (GMLE) of beta and S(. I z). A critical limitation with GMLE under interval censoring is that it is computationally feasible only for a small data set. We therefore propose to also investigate asymptotic properties of a computationally simpler alternative to GMLE, namely two-stage estimators (TSE) of beta and S(. I z) obtained by a two-stage modified Newton-Raphson algorithm involving data grouping. In the four years of our research, we have implemented a foolproof algorithm for obtaining TSE, proved consistency and established asymptotic normality for both GMLE and TSE under both discrete and continuous distributional assumptions, and proposed new diagnostic method for PH assumption. Also, we have successfully applied our asymptotic Cox regression methodology to the analysis of a large-scale, long-term breast cancer relapse follow-up study. Our results will be useful to data analysis of breast cancer relapse follow-up studies, chemoprevention intervention trials and genetic studies on familial aggregation of breast cancer and related cancers.
Book Synopsis A Mixed Model Approach for Structured Hazard Regression by :
Download or read book A Mixed Model Approach for Structured Hazard Regression written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Cox proportional hazards model is a benchmark approach to analyze continuous survival times in the presence of covariate information. In a number of applications, there is a need to relax one or more of its inherent assumptions, such as linearity of the predictor or the proportional hazards property. Also, one is often interested in jointly estimating the baseline hazard together with covariate effects or one may wish to add a spatial component for spatially correlated survival data. We propose an extended Cox model, where the (log- )baseline hazard is weakly parameterized using penalized splines and the usual linear predictor is replaced by a structured additive predictor incorporating nonlinear effects of continuous covariates and further time scales, spatial effects, frailty components, and more complex interactions. Inclusion of time-varying coefficients leads to models that relax the proportional hazards assumption. Nonlinear and time-varying effects are modelled through penalized splines, and spatial components are treated as correlated random effects following either a Markov random field or a stationary Gaussian random field. All model components, including smoothing parameters, are specified within a unified framework and are estimated simultaneously based on mixed model methodology. The estimation procedure for such general mixed hazard regression models is derived using penalized likelihood for regression coefficients and (approximate) marginal likelihood for smoothing parameters. Performance of the proposed method is studied through simulation and an application to leukemia survival data in Northwest England. -- extended Cox model ; structured hazard regression ; mixed models ; marginal likelihood
Book Synopsis The Impact of Deviations from the Proportional Hazards Assumption on Power in the Analysis of Survival Data by : Todd Edward Gray
Download or read book The Impact of Deviations from the Proportional Hazards Assumption on Power in the Analysis of Survival Data written by Todd Edward Gray and published by . This book was released on 1996 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
