Spacing of information in polynomial regression:a simple solution
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 12 (17) , 2035-2042
- https://doi.org/10.1080/03610928308828587
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, ν, 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 ν 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.Keywords
This publication has 2 references indexed in Scilit:
- Optimum Experimental DesignsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1959
- Spacing of Information in Polynomial RegressionThe Annals of Mathematical Statistics, 1954