Gamma models for estimating the odds ratio for a skewed biomarker measured in pools and subject to errors.

Biostatistics
Dane R Van DomelenRobert H Lyles

Abstract

Measuring a biomarker in pooled samples from multiple cases or controls can lead to cost-effective estimation of a covariate-adjusted odds ratio, particularly for expensive assays. But pooled measurements may be affected by assay-related measurement error (ME) and/or pooling-related processing error (PE), which can induce bias if ignored. Building on recently developed methods for a normal biomarker subject to additive errors, we present two related estimators for a right-skewed biomarker subject to multiplicative errors: one based on logistic regression and the other based on a Gamma discriminant function model. Applied to a reproductive health dataset with a right-skewed cytokine measured in pools of size 1 and 2, both methods suggest no association with spontaneous abortion. The fitted models indicate little ME but fairly severe PE, the latter of which is much too large to ignore. Simulations mimicking these data with a non-unity odds ratio confirm validity of the estimators and illustrate how PE can detract from pooling-related gains in statistical efficiency. These methods address a key issue associated with the homogeneous pools study design and should facilitate valid odds ratio estimation at a lower cost in a wide range...Continue Reading

References

Jun 25, 2003·Annals of Epidemiology·Janet B Hardy
May 17, 2007·American Journal of Epidemiology·Brian W WhitcombNasser Chegini
Jan 6, 2010·Statistics in Medicine·Enrique F SchistermanNeil J Perkins
Jul 13, 2011·Epidemiology·Paramita Saha-ChaudhuriClarice R Weinberg
Mar 23, 2012·Statistics in Medicine·Brian W WhitcombRobert H Lyles
Sep 13, 2013·Journal of Agricultural, Biological, and Environmental Statistics·Robert H Lyles, Lawrence L Kupper
Jan 1, 2009·The American Statistician·Robert H LylesAndrew N Hill
Feb 14, 2014·Biometrics·Emily M MitchellEnrique F Schisterman
Apr 8, 2015·Statistics in Medicine·Emily M MitchellEnrique F Schisterman
Nov 26, 2015·International Journal of Environmental Research and Public Health·Robert H LylesEnrique F Schisterman
Jul 20, 2018·Statistics in Medicine·Dane R Van DomelenRobert H Lyles
Mar 22, 2019·American Journal of Epidemiology·Dane R Van Domelen, Robert H Lyles

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