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Score tests for association under response-dependent sampling designs for expensive covariates


  • Andriy Derkach
  • Jerald F. Lawless
  • Lei Sun


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.

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  • Andriy Derkach & Jerald F. Lawless & Lei Sun, 2015. "Score tests for association under response-dependent sampling designs for expensive covariates," Biometrika, Biometrika Trust, vol. 102(4), pages 988-994.
  • Handle: RePEc:oup:biomet:v:102:y:2015:i:4:p:988-994.

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    References listed on IDEAS

    1. Peter J. Diggle & Raquel Menezes & Tingā€li Su, 2010. "Geostatistical inference under preferential sampling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 191-232, March.
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