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Identifying significant effects in fractional factorial single and multiresponse experiments

Published 2001

Read in Norwegian

Publication details

Journal : Technometrics , vol. 43 , p. 415–424 , 2001

International Standard Numbers :
Printed : 0040-1706
Electronic : 1537-2723

Publication type : Academic article

Contributors : Langsrud, Øyvind

Issue : 4

Links :
DOI : doi.org/10.1198/00401700152672...

If you have questions about the publication, you may contact Nofima’s Chief Librarian.

Kjetil Aune
Chief Librarian
kjetil.aune@nofima.no

Summary

A forward selection procedure for identifying active contrasts in unreplicated factorial multiresponse experiments is presented. To test the multivariate effects, p values are calculated by Monte Carlo sampling; the ordinary Hotelling’s T2 test is a special case. Collinear responses are effectively handled by successive principal-component decompositions, as when, for instance, the number of response variables exceeds the number of observations. In the univariate case, the test statistic pools the smallest effects as error. Independent sources for error degrees of freedom can be incorporated. The method is illustrated with examples from baguette and mayonnaise production.