title: On the interpretation, robustness, and power of varieties of case-only tests of gene-environment interaction.
abstract: The author addresses issues related to interpretation of the parameters in the proposed case-only linear regression approach to testing for gene-environment interaction recently considered by Clarke and Morris (Am J Epidemiol. 2010;171(4):498-505). He also considers the robustness of their likelihood ratio test to violation of the assumption of Gaussian regression residuals under the null hypothesis of no interaction; shows how their approach can be extended to a more general class of regression models; and derives the optimal interaction test statistic for this class of regression models. Finally, the author briefly discusses case-only doubly robust methods recently proposed by Tchetgen Tchetgen and Robins (Biometrics. 2010;Mar 11).
authors.affiliation: Department of Epidemiology, Harvard School of Public Health, 677 Huntington Avenue, Boston, MA 02115, USA. etchetge@hsph.harvard.edu
authors.forename: Eric J
authors.initials: EJ
authors.lastname: Tchetgen Tchetgen
mesh_terms: D001943:Breast Neoplasms / Q000453:epidemiology / Q000235:genetics / Q000473:pathology; D005260:Female; D055106:Genome-Wide Association Study; D006801:Humans; D016013:Likelihood Functions; D016014:Linear Models; D008957:Models, Genetic; D010051:Ovarian Neoplasms / Q000453:epidemiology / Q000235:genetics / Q000473:pathology; D010641:Phenotype