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E-raamat: Statistical Methods for Survival Data Analysis

(University of Oklahoma Health Sciences Center),
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Lee (biostatistics and epidemiology) and Wang (American Indian health, both U. of Oklahoma-Oklahoma City) present a textbook for students, applied statisticians, epidemiologists, medical researchers, and others interested in analyzing survival data. They include in survival data not only the time to a certain event, but also the occurrence--yes or no--of an event, because in many cases the exact time is unknown, and the only information available is whether the event has occurred. The topics include examples of survival data analysis, some well-known parametric survival distributions and their applications, parametric methods for comparing two survival distributions, non-proportional hazards models for identifying prognostic factors related to survival time, and identifying risk factors related to dichotomous and polychotomous outcomes. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)

Praise for the Third Edition

“. . . an easy-to read introduction to survival analysis which covers the major concepts and techniques of the subject.” —Statistics in Medical Research

Updated and expanded to reflect the latest developments, Statistical Methods for Survival Data Analysis, Fourth Edition continues to deliver a comprehensive introduction to the most commonly-used methods for analyzing survival data. Authored by a uniquely well-qualified author team, the Fourth Edition is a critically acclaimed guide to statistical methods with applications in clinical trials, epidemiology, areas of business, and the social sciences. The book features many real-world examples to illustrate applications within these various fields, although special consideration is given to the study of survival data in biomedical sciences.

Emphasizing the latest research and providing the most up-to-date information regarding software applications in the field, Statistical Methods for Survival Data Analysis, Fourth Edition also includes:

  • Marginal and random effect models for analyzing correlated censored or uncensored data
  • Multiple types of two-sample and K-sample comparison analysis
  • Updated treatment of parametric methods for regression model fitting with a new focus on accelerated failure time models
  • Expanded coverage of the Cox proportional hazards model
  • Exercises at the end of each chapter to deepen knowledge of the presented material

Statistical Methods for Survival Data Analysis is an ideal text for upper-undergraduate and graduate-level courses on survival data analysis. The book is also an excellent resource for biomedical investigators, statisticians, and epidemiologists, as well as researchers in every field in which the analysis of survival data plays a role.

Arvustused

In summary, this book continues to improve, and the fourth edition is a welcome addition to the available books on survival analysis. The expanded sections on modelling and the addition of R software examples are particularly helpful.  (International Statistical Review, 1 October 2015)

Preface xi
1 Introduction
1(7)
1.1 Preliminaries
1(1)
1.2 Censored Data
2(3)
1.3 Scope of the Book
5(3)
2 Functions of Survival Time
8(11)
2.1 Definitions
8(7)
2.2 Relationships of the Survival Functions
15(4)
Exercises
16(3)
3 Examples of Survival Data Analysis
19(49)
3.1 Example 3.1: Comparison of Two Treatments and Three Diets
19(7)
3.2 Example 3.2: Comparison of Two Survival Patterns Using Life Tables
26(2)
3.3 Example 3.3: Fitting Survival Distributions to Tumor-Free Times
28(2)
3.4 Example 3.4: Comparing Survival of a Cohort with that of a General Population -- Relative Survival
30(3)
3.5 Example 3.5: Identification of Risk Factors for Incident Events
33(5)
3.6 Example 3.6: Identification of Risk Factors for the Prevalence of Age-Related Macular Degeneration
38(8)
3.7 Example 3.7: Identification of Significant Risk Factors for Incident Hypertension Using Related Data (Repeated Measurements) in a Longitudinal Study
46(22)
Exercises
54(14)
4 Nonparametric Methods of Estimating Survival Functions
68(40)
4.1 Product-Limit Estimates of Survivorship Function
69(13)
4.2 Nelson-Aalen Estimates of Survivorship Function
82(1)
4.3 Life-Table Analysis
83(13)
4.4 Relative Survival Rates
96(2)
4.5 Standardized Rates and Ratios
98(10)
Exercises
104(4)
5 Nonparametric Methods for Comparing Survival Distributions
108(25)
5.1 Comparison of Two Survival Distributions
108(15)
5.2 The Mantel and Haenszel Test
123(5)
5.3 Comparison of K (K > 2) Samples
128(5)
Exercises
130(3)
6 Some Well-Known Parametric Survival Distributions And Their Applications
133(28)
6.1 Exponential Distribution
133(5)
6.2 Weibull Distribution
138(5)
6.3 Lognormal Distribution
143(5)
6.4 Gamma, Generalized Gamma, and Extended Generalized Gamma Distributions
148(5)
6.5 Log-Logistic Distribution
153(2)
6.6 Other Survival Distributions
155(6)
Exercises
159(2)
7 Estimation Procedures for Parametric Survival Distributions Without Covariates
161(45)
7.1 General Maximum Likelihood Estimation Procedure
161(4)
7.2 Exponential Distribution
165(13)
7.3 Weibull Distribution
178(2)
7.4 Lognormal Distribution
180(3)
7.5 The Extended Generalized Gamma Distribution
183(1)
7.6 The Log-Logistic Distribution
184(1)
7.7 Gompertz Distribution
185(1)
7.8 Graphical Methods
186(20)
Exercises
203(3)
8 Tests of Goodness-of-Fit and Distribution Selection
206(20)
8.1 Goodness-of-Fit Test Statistics Based on Asymptotic Likelihood Inferences
207(3)
8.2 Tests for Appropriateness of a Family of Distributions
210(6)
8.3 Selection of a Distribution by Using BIC or AIC Procedure
216(1)
8.4 Tests for a Specific Distribution with Known Parameters
217(3)
8.5 Hollander and Proschan's Test for Appropriateness of a Given Distribution with Known Parameters
220(6)
Exercises
224(2)
9 Parametric Methods for Comparing Two Survival Distributions
226(13)
9.1 Log-Likelihood Ratio Test for Comparing Two Survival Distributions
226(3)
9.2 Comparison of Two Exponential Distributions
229(5)
9.3 Comparison of Two Weibull Distributions
234(2)
9.4 Comparison of Two Gamma Distributions
236(3)
Exercises
237(2)
10 Parametric Methods for Regression Model Fitting and Identification of Prognostic Factors
239(43)
10.1 Preliminary Examination of Data
240(2)
10.2 General Structure of Parametric Regression Models and Their Asymptotic Likelihood Inference
242(4)
10.3 Exponential AFT Model
246(9)
10.4 Weibull AFT Model
255(3)
10.5 Lognormal AFT Model
258(3)
10.6 The Extended Generalized Gamma AFT Model
261(3)
10.7 Log-Logistic AFT Model
264(4)
10.8 Other Parametric Regression Models
268(2)
10.9 Model Selection Methods
270(12)
Exercises
279(3)
11 Identification of Risk Factors Related to Survival Time: Cox Proportional Hazards Model
282(55)
11.1 The Proportional Hazards Model
282(3)
11.2 The Partial Likelihood Function
285(17)
11.3 Identification of Significant Covariates
302(7)
11.4 Estimation of the Survivorship Function with Covariates
309(8)
11.5 Adequacy Assessment of the Proportional Hazards Model
317(20)
Exercises
334(3)
12 Identification of Prognostic Factors Related to Survival Time: Non-Proportional Hazards Models
337(47)
12.1 Models with Time-Dependent Covariates
337(9)
12.2 Stratified Proportional Hazards Model
346(4)
12.3 Competing Risks Model
350(3)
12.4 Recurrent Event Models
353(17)
12.5 Models for Related Observations
370(14)
Exercises
382(2)
13 Identification of Risk Factors Related to Dichotomous and Polychotomous Outcomes
384(59)
13.1 Univariate Analysis
385(7)
13.2 Logistic and Conditional Logistic Regression Models for Dichotomous Outcomes
392(29)
13.3 Models for Polychotomous Outcomes
421(11)
13.4 Models for Related Observations
432(11)
Exercises
440(3)
Appendix 443(23)
References 466(11)
Index 477
ELISA T. LEE, PhD, is Regents Professor and George Lynn Cross Research Professor of Biostatistics and Epidemiology and Director of the Center for American Indian Health Research at the University of Oklahoma Health Sciences Center.

JOHN Wenyu WANG, PhD, is Professor of Research at the Center for American Indian Health Research at the University of Oklahoma Health Sciences Center.