Spline estimator for bi-responses nonparametric regression model for longitudinal data

Abstract

Regression analysis is a method used to determine the relationship between the predictor variables with the response variables. One of the uses of regression analysis is in the analysis of longitudinal data, and using bi-responses. Nonparametric regression approach is used when the shape of the curve regression is unknown, so we called the model of bi-responses nonparametric regression model for longitudinal data. The purposes of this study are to obtain the function form of the nonparametric bi-responses regression on longitudinal data, to obtain the spline estimator in estimating the nonparametric bi-responses regression curve on longitudinal data, and to apply the spline estimator in estimating the curve of nonparametric bi-responses regression on longitudinal data on simulated data. bi-responses nonparametric regression model on longitudinal data on the equation () kit ki it kit y f x 