Quantile Regression And Survival Analysis
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Quantile Regression And Survival Analysis
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Author : Kenneth Qing Zhou
language : en
Publisher:
Release Date : 1995
Quantile Regression And Survival Analysis written by Kenneth Qing Zhou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
The thesis consists of six chapters and focus on two topics: quantile regression and survival analysis. Firstly, direct use of regression quantiles to construct confidence intervals and confidence bands for conditional quantiles and prediction intervals for future response variables under homoscedastic linear models and heteroscedastic linear models is proposed. Comparison of the direct method with the studentization and the bootstrap methods are discussed in terms of computation and asymptotic theory. Simulation results show that the direct method has the advantage of robustness against departure from the normality assumption of the error terms. Next, the thesis discusses censored linear regression models and proposes two approaches which can be viewed as extensions of the two well-known estimators, one is proposed by Koul, Susarla and Van Ryzin (1981) and the one proposed by Buckley-James (1979). The results stated in the previous part may also be applied for censored data analysis. Asymptotic results and simulation results on the performance of the proposed methods with the use of linear programming algorithms and Splus functions are also presented. Finally, the cumulative logistic regression models are discussed. An example with the Veteran's lung cancer data is presented to illustrate the proposed method.
Survival Analysis Using S
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Author : Mara Tableman
language : en
Publisher: CRC Press
Release Date : 2003-07-28
Survival Analysis Using S written by Mara Tableman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-28 with Mathematics categories.
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.
Modern Survival Analysis In Clinical Research
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Author : Ton J. Cleophas
language : en
Publisher: Springer Nature
Release Date : 2023-05-29
Modern Survival Analysis In Clinical Research written by Ton J. Cleophas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-29 with Medical categories.
An important novel menu for Survival Analysis entitled Accelerated Failure Time (AFT) models has been published by IBM (international Businesss Machines) in its SPSS statistical software update of 2023. Unlike the traditional Cox regressions that work with hazards, which are the ratio of deaths and non-deaths in a sample, it works with risk of death, which is the proportion of deaths in the same sample. The latter approach may provide better sensitivity of testing, but has been seldom applied, because with computers risks are tricky and hazards because they are odds are fine. This was underscored in 1997 by Keiding and colleague statisticians from Copenhagen University who showed better-sensitive goodness of fit and null-hypothesis tests with AFT than with Cox survival tests. So far, a controlled study of a representative sample of clinical Kaplan Meier assessments, where the sensitivity of Cox regression is systematically tested against that of AFT modeling, has not been accomplished. This edition is the first textbook and tutorial of AFT modeling both for medical and healthcare students and for professionals. Each chapter can be studied as a standalone, and, using, real as well as hypothesized data, it tests the performance of the novel methodology against traditional Cox regressions. Step by step analyses of over 20 data files stored at Supplementary Files at Springer Interlink are included for self-assessment. We should add that the authors are well qualified in their field. Professor Zwinderman is past-president of the International Society of Biostatistics (2012-2015) and Professor Cleophas is past-president of the American College of Angiology (2000-2002). From their expertise they should be able to make adequate selections of modern data analysis methods for the benefit of physicians, students, and investigators. The authors have been working and publishing together for 25 years and their research can be characterized as a continued effort to demonstrate that clinical data analysis is not mathematics but rather a discipline at the interface of biology and mathematics.
Handbook Of Quantile Regression
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Author : Roger Koenker
language : en
Publisher: CRC Press
Release Date : 2017-10-12
Handbook Of Quantile Regression written by Roger Koenker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-12 with Mathematics categories.
Quantile regression constitutes an ensemble of statistical techniques intended to estimate and draw inferences about conditional quantile functions. Median regression, as introduced in the 18th century by Boscovich and Laplace, is a special case. In contrast to conventional mean regression that minimizes sums of squared residuals, median regression minimizes sums of absolute residuals; quantile regression simply replaces symmetric absolute loss by asymmetric linear loss. Since its introduction in the 1970's by Koenker and Bassett, quantile regression has been gradually extended to a wide variety of data analytic settings including time series, survival analysis, and longitudinal data. By focusing attention on local slices of the conditional distribution of response variables it is capable of providing a more complete, more nuanced view of heterogeneous covariate effects. Applications of quantile regression can now be found throughout the sciences, including astrophysics, chemistry, ecology, economics, finance, genomics, medicine, and meteorology. Software for quantile regression is now widely available in all the major statistical computing environments. The objective of this volume is to provide a comprehensive review of recent developments of quantile regression methodology illustrating its applicability in a wide range of scientific settings. The intended audience of the volume is researchers and graduate students across a diverse set of disciplines.
Censored Quantile Regression With Auxiliary Information
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Author : Chithran Vadaverkkot Vasudevan
language : en
Publisher:
Release Date : 2016
Censored Quantile Regression With Auxiliary Information written by Chithran Vadaverkkot Vasudevan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
In Survival analysis, it is vital to understand the effect of the covariates on the survival time. Commonly studied models are the Cox [1972] proportional hazards model and the accelerated failure time model. These methods mainly focus on one characteristic of the survival time. In reality, the association between the response and risk factors is not homogeneous always. This leads to the use of quantile regression [Koenker and Basset, 1978] models, which provide a global description of the association. In quantile regression modeling of the survival data, the problem of estimating the regression coefficients for extreme quantiles can be affected by severe censoring [Portnoy, 2003], especially when the sample size is small. In epidemiological studies, however, there are often times when only a subset of the whole study cohort is accurately observed. The rest of the cohort has only some auxiliary covariate available. The naive use of the auxiliary covariate in the model without the accurately measured covariate could lead to biased estimates. To deal with this problem in censored quantile regression, we propose a regression calibration based method when there is a linear relationship between the auxiliary covariate and the accurately measured covariate. When the relationship is non-linear, we propose a non-parametric kernel smoothing technique. We also propose an empirical likelihood [Owen, 1998, 2001] based weighted censored quantile regression to improve the efficiency of the censored quantile regression estimation by utilizing the auxiliary information about the target population parameters available through scientific facts/previous studies. The proposed estimators are consistent and have asymptotically Gaussian distributions. The efficiency gain compared to the existing methods is remarkable. These methods provide the possibilities of looking into extreme quantiles of the survival distribution. We also applied our proposed methods in real case examples.
Reappraising Medlfy Longevity
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Author :
language : en
Publisher:
Release Date : 1999
Reappraising Medlfy Longevity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Reappraising Medfly Longevity
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Author : Roger Koenker
language : en
Publisher:
Release Date : 1999
Reappraising Medfly Longevity written by Roger Koenker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Quantile Regression For Survival Data With Delayed Entry
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Author : Boqin Sun
language : en
Publisher:
Release Date : 2018
Quantile Regression For Survival Data With Delayed Entry written by Boqin Sun and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Delayed entry arises frequently in follow-up studies for survival outcomes, where additional study subjects enter during the study period. We propose a quantile regression model to analyze survival data subject to delayed entry and right-censoring. Such a model offers flexibility in assessing covariate effects on survival outcome and the regression coefficients are interpretable as direct effects on the event time. Under the conditional independent censoring assumption, we proposed a weighted martingale-based estimating equation, and formulated the solution finding as a $\ell_1$-type convex optimization problem, which was solved through a linear programming algorithm. We established uniform consistency and weak convergence of the resultant estimators. We developed and justified a resampling inference procedure for variance and covariance estimation. The finite-sample performance of the proposed method was demonstrated via simulation studies. The proposed method was illustrated through an application to an atomic bomb survivors study.
Handbook Of Survival Analysis
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Author : John P. Klein
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Handbook Of Survival Analysis written by John P. Klein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
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
Censored Quantile Regression Survival Models With A Cure Proportion
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Author : Naveen Narisetty
language : en
Publisher:
Release Date : 2019
Censored Quantile Regression Survival Models With A Cure Proportion written by Naveen Narisetty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
A new quantile regression model for survival data is proposed that permits a positive proportion of subjects to become unsusceptible to recurrence of disease following treatment or based on other observable characteristics. In contrast to prior proposals for quantile regression estimation of censored survival models, we propose a new "data augmentation" approach to estimation. Our approach has computational advantages over earlier approaches proposed by Wu and Yin (2013, 2017). We compare our method with the two estimation strategies proposed by Wu and Yin and demonstrate its advantageous empirical performance in simulations. The methods are also illustrated with data from a Lung Cancer survival study.