title: An approximate likelihood estimator for the prevalence of infections in vectors using pools of varying sizes.
abstract: There are several arthropods that can transmit disease to humans. To make inferences about the rate of infection of these arthropods, it is common to collect a large sample of vectors, divide them into groups (called pools), and apply a test to detect infection. This paper presents an approximate likelihood point estimator to rate of infection for pools of different sizes, when the variability of these sizes is small and the infection rate is low. The performance of this estimator was evaluated in four simulated scenarios, created from real experiments selected in the literature. The new estimator performed well in three of these scenarios. As expected, the new estimator performed poorly in the scenario with great variability in the size of the pools for some values of the parameter space.
authors.affiliation: Department of Statistics, Federal University of Amazonas, Av. Gal. Rodrigo Otavio 3000, 69077-000 Manaus/Amazonas, Brazil. james@ufam.edu.br.
authors.forename: James D
authors.initials: JD
authors.lastname: Santos
authors.affiliation: Department of Statistics, Federal University of Amazonas, Av. Gal. Rodrigo Otavio 3000, 69077-000 Manaus/Amazonas, Brazil.
authors.forename: Diana
authors.initials: D
authors.lastname: Dorgam
mesh_terms: D000818:Animals; D001179:Arthropod Vectors; D003141:Communicable Diseases / Q000635:transmission*; D004812:Epidemiologic Methods; D006801:Humans; D016013:Likelihood Functions; D008954:Models, Biological; D015995:Prevalence; D011336:Probability
keywords: Approximate likelihood; Pooled samples; Prevalence of infections in arthropods