2010
DOI: 10.1007/s10651-009-0130-3
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The Bayesian conditional independence model for measurement error: applications in ecology

Abstract: The measurement error model is a well established statistical method for regression problems in medical sciences, although rarely used in ecological studies. While the situations in which it is appropriate may be less common in ecology, there are instances in which there may be benefits in its use for prediction and estimation of parameters of interest. We have chosen to explore this topic using a conditional independence model in a Bayesian framework using a Gibbs sampler, as this gives a great deal of flexib… Show more

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Cited by 10 publications
(13 citation statements)
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“…Measurement error in covariates is common for ecological data and ignoring this uncertainty in regression analyses can result in biased parameter estimates with underestimated variances (Gustafson 2003, Denham et al 2011. We incorporated this uncertainty into our regression analyses, by treating key covariates as random variables which were estimated from our data.…”
Section: Discussionmentioning
confidence: 99%
“…Measurement error in covariates is common for ecological data and ignoring this uncertainty in regression analyses can result in biased parameter estimates with underestimated variances (Gustafson 2003, Denham et al 2011. We incorporated this uncertainty into our regression analyses, by treating key covariates as random variables which were estimated from our data.…”
Section: Discussionmentioning
confidence: 99%
“…In the SDM context, several attempts have been made to either examine or account for uncertainty in spatial climate variables – for example: Elston et al . () proposed an adjustment in regression coefficients; Foster, Shimadzu & Darnell () used errors‐in‐variables models to account for explanatory variables that are overly smooth; Denham, Falk & Mengersen () considered a conditional independence model in a hierarchical Bayesian framework using a Gibbs sampler where uncertainty in the explanatory variables was accounted for using a validation data set; McInerny & Purves () investigated uncertainty in explanatory variables attributed to fine‐scale environmental variation, and proposed a general correction for regression dilution (or attenuation) also based on Bayesian methods; Fernández, Hamilton & Kueppers () examined the influence of interannual variability, topographic heterogeneity and the distance to nearest weather station; and Hefley et al . () investigated the presence of location uncertainty in presence‐only data.…”
Section: Introductionmentioning
confidence: 99%
“…Interpretation error by readers and/or laboratories has also been shown to be a key determinant of estimating age for fishes (Campana, 2001;Denham et al, 2011). To address this concern, a measurement error model may be used if the data from the original studies are available.…”
Section: Discussionmentioning
confidence: 99%