Uniform Confidence Bands for a Quadratic Model

Abstract

In this paper uniform confidence bands are developed for a quadratic regression model. Tables are supplied to determine a uniform confidence band for the quadratic model in which it is assumed the sum of the cubed deviations of the independent variable about its mean is equal to zero. The uniform confidence band is then compared with the classical competitor, the Scheffit confidence band. A table summarizing the results of this comparison is presented. Finally, an example is examined.