1994
DOI: 10.1002/sim.4780131105
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Corrections for exposure measurement error in logistic regression models with an application to nutritional data

Abstract: Two correction methods are considered for multiple logistic regression models with some covariates measured with error. Both methods are based on approximating the complicated regression model between the response and the observed covariates with simpler models. The first model is the logistic approximation proposed by Rosner et al., and the second is a second-order extension of this model. Only the mean and covariance matrix of the true values of the covariates given the observed values have to be specified, … Show more

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Cited by 58 publications
(60 citation statements)
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“…Measurement errors in multicentre studies are caused by variation within and between cohorts and calibration of subsamples can be used to control for this variation. 23,24 Repeated measurement is another principle to reduce the variance within individuals but this will apply only if there is no correlated error. 25,26 Most models used in nutritional epidemiology assume no correlated error.…”
Section: (Lower Part) As a Function Of Validity Of Measurements And Cmentioning
confidence: 99%
“…Measurement errors in multicentre studies are caused by variation within and between cohorts and calibration of subsamples can be used to control for this variation. 23,24 Repeated measurement is another principle to reduce the variance within individuals but this will apply only if there is no correlated error. 25,26 Most models used in nutritional epidemiology assume no correlated error.…”
Section: (Lower Part) As a Function Of Validity Of Measurements And Cmentioning
confidence: 99%
“…The Taylor series approximation for the standard error for the linear approximation approach will always result in a larger variance. Kuha (1994) extended the linear approximation by improving the approxmation of the logistic model using a second-order Taylor series instead of the first-order series.…”
Section: Regression Calibration Methodsmentioning
confidence: 99%
“…Generalizing Kuha's derivation (Kuha 1994) to the heteroscedastic measurement error variance case, by using a second-order Taylor series expansion of logit [Pr(Y=1)] with respect to 1 β around 1 0 β = under the rare disease assumption and with | , x X U normally distributed with linear mean and variance, ( | , ;…”
Section: Iterative Methodsmentioning
confidence: 99%
“…(Kuha 1994 As is evident from (6), this estimator can only be used for models with scalar x. For multivariate x with heteroscedastic covariance for x | X,U , a term is added to the model for E(Y|X,U) equal to…”
Section: The First Row Of γ Denoted ˆˆ( )mentioning
confidence: 99%
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