Design-based estimation of small and empty domains in survey data analysis using order constraints
Articles and reports: 12-001-X202400200010Description: Recent work in survey domain estimation has shown that incorporating a priori assumptions about orderings of population domain means reduces the variance of the estimators and provides smaller confidence intervals with good coverage. Here we show how partial ordering assumptions allow design-based estimation of sample means in domains for which the sample size is zero, with conservative variance estimates and confidence intervals. Order restrictions can also substantially improve estimation and inference in small-size domains. Examples with well-known survey data sets demonstrate the utility of the methods. Code to implement the examples using the R package csurvey is given in the appendix. Issue Number: 2024002Author(s): Liao, Xiyue; Meyer, Mary C.; Xu, XiaomingMain Product:Survey Methodology
