Bibliographic Information

Measurement error in nonlinear models

R.J. Carroll, D. Ruppert, and L.A. Stefanski

(Monographs on statistics and applied probability, 63)

Chapman & Hall/CRC, 1998

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Note

Reprint. Originally published: London : Chapman & Hall, 1995

Includes bibliographical references (p. [280]-297) and indexes

Description and Table of Contents

Description

This monograph provides an up-to-date discussion of analysis strategies for regression problems in which predictor variables are measured with errors. The analysis of nonlinear regression models includes generalized linear models, transform-both-sides models and quasilikelihood and variance function problems. The text concentrates on the general ideas and strategies of estimation and inference rather than being concerned with a specific problem. Measurement error occurs in many fields, such as biometry, epidemiology and economics. In particular, the book contains a large number of epidemiological examples. An outline of strategies for handling progressively more difficult problems is also provided.

Table of Contents

Preface Guide to Notation 1. Introduction 2. Regression and Attenuation 3. Regression Calibration 4. Simulation Extrapolation 5. Instrumental Variables 6. Functional Methods 7. Likelihood and Quasilikelihood 8. Bayesian Methods 9. Semiparametric Methods 10. Unknown Link Functions 11. Hypothesis Testing 12. Density Estimation and Nonparametric Regression 13. Response Variable Error 14. Other Topics Appendix: Fitting Methods and Models References Author Index Subject Index

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