Score tests in a generalized linear model with surrogate covariates

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We consider generalized linear models where a predictor is measured with error. The efficient score test for the effect of that predictor depends on the regression of the true predictor on its observed surrogate. Using validation data, we estimate the regression by nonparametric techniques. The resulting semiparametric score test is shown to be nearly asymptotically efficient.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalStatistics and Probability Letters
Issue number1
StatePublished - Sep 3 1992


  • Generalized linear model
  • nonparametric regression
  • score test


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