Lawless, Jerald F.2016-10-192016-10-192015-11-27DOI: 10.1093/biomet/asv038http://hdl.handle.net/10012/11007This is a pre-copyedited, author-produced PDF of an article accepted for publication in Biometrika following peer review. The version of record ``Derkach, A., Lawless, J.F. and Sun, L. (2015). Score tests for association under response-dependent sampling designs for expensive covariates. Biometrika, 102 (4), 988--994"is available online at: http://biomet.oxfordjournals.org/content/102/4/988.full.pdf+html}{DOI: 10.1093/biomet/asv038.Response-dependent sampling is widely used in settings where certain variables are expensive to obtain. Estimation has been thoroughly investigated but recent applications have emphasized tests of association for expensive covariates and a response variable. We consider testing and provide easily implemented likelihood score tests for generalized linear models under a broad range of sampling plans. We show that when there are no additional covariates, the score statistics are identical for conditional and full likelihood approaches, and are of the same form as for ordinary random sampling. Applications in genetics are discussed briefly.enGeneralized linear modelGenetic association studyIncomplete dataMaximum likelihood estimationTests of independenceTwo-phase sampleArticle