Estimation of the mean of a Ä-sample-statistic with missing outcomes and auxiliaries

Enrique Schisterman, Andrea Rotnitzky

Research output: Contribution to journalArticlepeer-review

Abstract

We propose estimators of the mean of a K-sample (/-statistic when data on the outcomes of interest are missing in some sampled units and auxiliary variables are available in the entire sample. The proposed estimators exploit the information available in the auxiliaries without requiring assumptions about the joint distribution of the auxiliaries and outcomes. The properties of the proposed estimators are derived as a consequence of general results on efficient semiparametric estimation of the mean of a K-sample [/-statistic with missing at random outcomes, observed auxiliary variables and known missingness probabilities. We illustrate the methods with the estimation of the area under a receiver operating characteristic curve when the biomarker data are observed only in subsamples of the diseased and healthy subjects.

Original languageEnglish (US)
Pages (from-to)713-725
Number of pages13
JournalBiometrika
Volume88
Issue number3
StatePublished - 2001
Externally publishedYes

Keywords

  • Data missing at random
  • Receiver operating characteristic curve
  • Semiparametric efficient estimator
  • Two-stage sampling

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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