Model-Based Prediction of the Population Proportion and Distribution Function Using a Logistic Regression

Abstract

Estimation procedure of the finite population proportion and distribution function is considered. Based on a logistic regression model, an approximately model-optimal estimator is defined and conditions for the estimator to be design-consistent are given. Simulation study shows that the model-optimal design-consistent estimator defined under a logistic regression model performs well in estimating the finite population distribution function.