Spacing Of Information In Polynomial Regression:A Simple Solution

Document Type

Article

Publication Date

1-1-1983

Abstract

Consider a k polynomial regression on a single real variable. If n uncorrelated observations are to be taken in a design with support on more than k+1 points, there is an approximate experiment, v, with support on k+1 points and n observations such that both designs have the same information matrix for the model. A proof of this result is provided. A method to obtain the approximate design v is given and illustrated by an example. The source of disagreement between Kiefer (1959) and De La Garza (1954) in the solution of this problem is clarified. © 1983, Taylor & Francis Group, LLC. All rights reserved.

Publication Source (Journal or Book title)

Communications in Statistics - Theory and Methods

First Page

2035

Last Page

2042

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