Premium
Some robust designs for polynomial regression models
Author(s) -
Fang Zhide
Publication year - 2006
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.1002/cjs.5550340405
Subject(s) - mathematics , polynomial regression , polynomial , optimality criterion , degree (music) , regression , regression analysis , polynomial and rational function modeling , mathematical optimization , statistics , mathematical analysis , physics , acoustics
The author identifies static optimal designs for polynomial regression models with or without intercept. His optimality criterion is an average between the D ‐optimality criterion for the estimation of low‐degree terms and the D 8 ‐optimality criterion for testing the significance of higher degree terms. His work relies on classical results concerning canonical moments and the theory of continued fractions.