Journal of Biometrics & Biostatistics

Abelardo Montesinos-López

Publications

• Research Article
  Estimating a Proportion Based on Group Testing for Correlated Binary Response
  Author(s): Osval A Montesinos-López, Abelardo Montesinos-López, Kent Eskridge and José CrossaOsval A Montesinos-López, Abelardo Montesinos-López, Kent Eskridge and José Crossa
  
  When the sampling scheme is in clusters and when the pools (of size k) within a cluster are assumed not to be independent, the Dorfman model for estimating the proportion under the binomial model is incorrect. The purpose of this paper is to propose a method for analyzing correlated binary data under the group testing framework. First, assuming that the probability of an individual varies according to a beta distribution, we derived an analytic expression for the probability of a positive pool and the correlation between two pools in each cluster. Second, we derived the exact probability mass function of the number of positive pools in each cluster that should be used to obtain the maximum likelihood estimate (MLE) of the proportion of individuals with a positive outcome. However, this MLE is not efficient in terms of computational resources. For this reason, we proposed another estim.. Read More»
  DOI: 10.4172/2155-6180.1000185

  Abstract PDF