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Title: Small area estimation of proportions under an area-level compositional mixed model Authors:  Domingo Morales - University Miguel Hernandez of Elche (Spain)
Maria-Dolores Esteban - University-Miguel Hernandez of Elche (Spain)
Maria Jose Lombardia - Universidade da Coruna (Spain) [presenting]
Esther Lopez Vizcaino - Universidade da Coruña (Spain)
Agustin Perez - University Miguel Hernandez of Elche (Spain)
Abstract: An area-level compositional mixed model is introduced by applying an additive logistic transformation to a multivariate Fay-Herriot model. Small area estimators of the proportions of the categories of a classification variable are derived from the new model and the corresponding mean squared errors are estimated by parametric bootstrap. Several simulation experiments designed to analyze the behaviour of the introduced estimators are carried out. An application to real data from the Spanish Labour Force Survey of Galicia (north-west of Spain), in the first quarter of 2017, is given. The target is the estimation of domain proportions of people in the four categories of the variable labour status: under 16 years, employed, unemployed and inactive.