PMID: 9004390Jan 15, 1997Paper

Segmented regression with errors in predictors: semi-parametric and parametric methods

Statistics in Medicine
Helmut Küchenhoff, R J Carroll

Abstract

We consider the estimation of parameters in a particular segmented generalized linear model with additive measurement error in predictors, with a focus on linear and logistic regression. In epidemiologic studies segmented regression models often occur as threshold models, where it is assumed that the exposure has no influence on the response up to a possibly unknown threshold. Furthermore, in occupational and environmental studies the exposure typically cannot be measured exactly. Ignoring this measurement error leads to asymptotically biased estimators of the threshold. It is shown that this asymptotic bias is different from that observed for estimating standard generalized linear model parameters in the presence of measurement error, being both larger and in different directions than expected. In most cases considered the threshold is asymptotically underestimated. Two standard general methods for correcting for this bias are considered; regression calibration and simulation extrapolation (simex). In ordinary logistic and linear regression these procedures behave similarly, but in the threshold segmented regression model they operate quite differently. The regression calibration estimator usually has more bias but less varian...Continue Reading

Citations

Apr 25, 2001·Biometrics·R J CarrollL Wasserman
Jul 27, 2001·Statistics in Medicine·J M Batista-FoguetM A Ferragud
Sep 16, 2003·Statistics in Medicine·Vito M R Muggeo
Aug 2, 2005·Biometrical Journal. Biometrische Zeitschrift·A Lemenuel-DiotR Bruno
Apr 3, 2007·Lifetime Data Analysis·Helmut KüchenhoffIngo Langner
Jan 14, 2011·Critical Reviews in Toxicology·Lorenz R RhombergSamuel M Cohen
Mar 26, 2003·Statistics in Medicine·Roberto Pastor-BarriusoJosef Coresh
Jan 22, 2005·Risk Analysis : an Official Publication of the Society for Risk Analysis·Esben Budtz-JørgensenPhilippe Grandjean
Nov 1, 2006·Biostatistics·Esben Budtz-Jørgensen
Aug 5, 2020·Statistics in Medicine·Lak N Kotinkaduwa, Pankaj K Choudhary
Nov 14, 2006·Annals of Human Genetics·K Van SteenG Molenberghs
Feb 1, 2020·Biometrical Journal. Biometrische Zeitschrift·Sarit AgamiDonna Spiegelman
Aug 10, 2011·Critical Reviews in Toxicology·Lorenz R RhombergJulie E Goodman
Nov 9, 2019·Biometrical Journal. Biometrische Zeitschrift·Timm IntemannUNKNOWN I.Family consortium
Jun 15, 2021·Statistical Methods in Medical Research·Chun Yin Lee

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