Measurement Error in Nonlinear Models

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CRC Press, Jul 6, 1995 - Mathematics - 336 pages
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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.
  

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Contents

REGRESSION AND ATTENUATION
21
Error Structure
23
REGRESSION CALIBRATION
40
SIMULATION EXTRAPOLATION
79
INSTRUMENTAL VARIABLES
107
FUNCTIONAL METHODS
122
LIKELIHOOD AND QUASILIKELIHOOD
141
BAYESIAN METHODS
165
UNKNOWN LINK FUNCTIONS
199
HYPOTHESIS TESTING
206
DENSITY ESTIMATION AND NONPARAMET
215
RESPONSE VARIABLE ERROR
229
OTHER TOPICS
243
A FITTING METHODS AND MODELS
257
References
280
Author index
298

SEMIPARAMETRIC METHODS
182

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Page 290 - Blood pressure, stroke, and coronary heart disease. Part 1. Prolonged differences in blood pressure: prospective observational studies corrected for the regression dilution bias.
Page 297 - Willett WC, Sampson L, Stampfer MJ, Rosner B, Bain C, Witschi J, Hennekens CH, Speizer FE. 1985. Reproducibility and validity of a semiquantitative food frequency questionnaire. Am J Epidemiol 122:51-65.

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