Survival Analysis Using S: Analysis of Time-To-Event Data

ISBN-13: 9781584884088 / Angielski / Twarda / 2003 / 280 str.

Mara Tableman; Jong Sung Kim; Tableman Tableman

Opis

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.

Recenzje

"All in all the book succeeds nicely in getting the reader through the basic methods of survival analysis (Kaplan-Meier, log-rank, Weibull and Cox regression) and how to implement them in S."
-Journal of Statistical Software, Vol. 11, July 2004

"There are many books on survival analysis, so an obvious question is what makes this one any different …? The main answers are the well-integrated S code that is used throughout the book and a chapter on censored regression quantiles … . [T]he topics that are covered … provide the reader with a good grasp of the principles of analysing survival data and the writing style is clear and easy to follow. I recommend this book for anyone who wants a good introduction to practical survival analysis using S."
-Journal of the Royal Statistics Society, Issue 167(4)

"This book introduces the field of survival analysis in a concise, coherent manner that capture the spirit of the methods without getting too embroiled in theoretical technicalities…this well-written book would be an excellent choice for a textbook for a course in survival analysis."
-Zentralblatt MATH 104


"This well-written book would be an excellent choice for a textbook for a course in survival analysis. All of the usual topics for a course in survival analysis are covered, including a careful discussion of parametric models. The explanations are clear and concise. The book not only teaches about the statistical methods for survival analysis, but also provides detailed instruction on how to do the computations with S-PLUS or R at a level where students will become proficient with the S language. The book contains an excellent collection of exercises. These exercises have been usefully partitioned into applications and questions that ask students to use their knowledge of probability and mathematical statistics."
-William Q Meeker, Distinguished Professor in the Department of Statistics, Iowa State University

Spis treści

INTRODUCTIONMotivation - Two Examples Basic definitionsCensoring and Truncation Models Course ObjectivesData entry and Import/Export of Data FilesExercisesNONPARAMETRIC METHODSKaplan-Meier Estimator of SurvivalComparison of Survivor Curves: Two-Sample ProblemExercisesPARAMETRIC METHODSFrequently Used (Continuous) ModelsMaximum Likelihood Estimation (MLE)Confidence Intervals and TestsOne-Sample ProblemTwo-Sample ProblemA Bivariate Version of the Delta MethodThe Delta Method for a Bivariate Vector FieldGeneral Version of the Likelihood Ratio TestExercisesREGRESSION MODELSExponential Regression ModelWeibull Regression ModelCox Proportional Hazards (PH) ModelAccelerated Failure Time ModelSummaryAIC procedure for Variable SelectionExercisesTHE COX PROPORTIONAL HAZARDS MODELAIC Procedure for Variable SelectionStratified Cox PH RegressionExercisesReview of First Five Chapters: Self-EvaluationMODEL CHECKING: DATA DIAGNOSTICSBasic graphical MethodsWeibull Regression ModelCox proportional Hazards ModelExercisesADDITIONAL TOPICSExtended Cox ModelCompeting Risks: Cumulative Incidence EstimatorAnalysis of Left-Truncated and Right-Censored DataExercisesCENSORED REGRESSION QUANTILES, by Stephen PortnoyIntroductionWhat are Regression Quantiles?Computation of Censored Regression QuantilesExamples of Censored Regression QuantileExercisesREFERENCESINDEX

O autorze

Mara Tableman, Jong Sung Kim