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A semi-local likelihood regression estimator of the proportion based on group testing data

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  • Dewei Wang
  • Haiming Zhou
  • K. B. Kulasekera

Abstract

In this paper, we are concerned with the estimation of a proportion based on group testing data where the prevalence of a disease is observed for groups of individuals. Based on the covariates measured on all individuals in every group, we propose a local likelihood estimator of the prevalence probability as a function of the covariate. We show that the proposed estimator has an asymptotic normal distribution. Finite sample performance of the method is exhibited via some simulated examples and a real data analysis.

Suggested Citation

  • Dewei Wang & Haiming Zhou & K. B. Kulasekera, 2013. "A semi-local likelihood regression estimator of the proportion based on group testing data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 25(1), pages 209-221, March.
    • Handle: RePEc:taf:gnstxx:v:25:y:2013:i:1:p:209-221
    DOI: 10.1080/10485252.2012.750726
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    References listed on IDEAS

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    1. Peng Chen & Joshua M. Tebbs & Christopher R. Bilder, 2009. "Group Testing Regression Models with Fixed and Random Effects," Biometrics, The International Biometric Society, vol. 65(4), pages 1270-1278, December.
    2. Delaigle, Aurore & Meister, Alexander, 2011. "Nonparametric Regression Analysis for Group Testing Data," Journal of the American Statistical Association, American Statistical Association, vol. 106(494), pages 640-650.
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    Cited by:

    1. A. Delaigle & P. Hall & J. R. Wishart, 2014. "New approaches to nonparametric and semiparametric regression for univariate and multivariate group testing data," Biometrika, Biometrika Trust, vol. 101(3), pages 567-585.
    2. D. Wang & C. S. McMahan & C. M. Gallagher & K. B. Kulasekera, 2014. "Semiparametric group testing regression models," Biometrika, Biometrika Trust, vol. 101(3), pages 587-598.

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