 Canonical reduction of second-order fitted models subject to linear restrictionsNorman R. Draper and Friedrich Pukelsheim Statistics & Probability Letters, 2003, vol. 63, issue 4, 401-410 Abstract: Canonical reduction of second-order response surfaces is a useful technique for finding the form and shape of surfaces and often for discovering redundancies that enable the surface to be expressible in a simpler form with fewer canonical predictor variables than there are original predictor variables. Canonical reduction of models subject to linear restrictions has received little attention, possibly due to the apparent difficulty of performing it. An important special application is when the predictor variables are mixture ingredients that must sum to a constant; other linear restrictions may also be encountered in such problems. A possible difficulty in interpretation is that the stationary point may fall outside the permissible restricted space. Here, techniques for performing such a canonical reduction are given, and two mixture examples in the literature are re-examined, and canonically reduced, to illustrate what canonical reduction can and cannot provide. Keywords: Canonical; reduction; Linear; restrictions; Mixture; data; Response; surfaces (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:63:y:2003:i:4:p:401-410 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.