Semiparametric regression model for complex survey data

A semiparametric regression model is developed for complex surveys. In this model, the explanatory variables are represented separately as a nonparametric part and a parametric linear part. The estimation techniques combine nonparametric local polynomial regression estimation and least squares estimation. Asymptotic results such as consistency and normality of the estimators of regression coefficients and the regression functions have also been developed. Success of the performance of the methods and the properties of estimates have been shown by simulation and empirical examples with the Ontario Health Survey 1990.