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Statistical Modelling of Survival Data with Random Effects : H-Likelihood Approach / by Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee.

Springer Nature - Springer Mathematics and Statistics eBooks 2017 English International Available online

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Format:
Book
Author/Creator:
Ha, Il Do., Author.
Jeong, Jong-Hyeon., Author.
Lee, Youngjo., Author.
Series:
Statistics for Biology and Health, 2197-5671
Language:
English
Subjects (All):
Statistics.
Biometry.
Mathematical statistics--Data processing.
Mathematical statistics.
Statistical Theory and Methods.
Biostatistics.
Statistics and Computing.
Local Subjects:
Statistical Theory and Methods.
Biostatistics.
Statistics and Computing.
Physical Description:
1 online resource (XIV, 283 p. 23 illus.)
Edition:
1st ed. 2017.
Place of Publication:
Singapore : Springer Nature Singapore : Imprint: Springer, 2017.
Summary:
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. .
Contents:
Introduction
Classical Survival Analysis
H-likelihood Approach to Random-Effects Models
Simple Frailty Models
Multi-Component Frailty Models
Competing Risks Frailty Models
Variable Selection for Frailty Models
Mixed-Effects Survival Models
Joint Model for Repeated Measures and Survival Data
Further Topics
A Formula for fitting fixed and random effects
References
Index.
Notes:
Includes bibliographical references and index.
ISBN:
981-10-6557-8

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