Some Problems Associated with the Analysis of Multiresponse Data


Box, G.E.P.*; Hunter, W.G.; MacGregor, J.F.**; Erjavec, J.***   (1973, ASQC and the American Statistical Association)   The University of Wisconsin, Madison, WI

Technometrics    Vol. 15    No. 1
QICID: 8420    February 1973    pp. 33-51
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Article Abstract

* - Supported by the Air Force Office of Scientific Research under Grant AF-AFOSR 72-2362.** - Present address: Dept. of Chemical Engineering, McMaster Univ., Hamilton, Ontario*** - Present address: American Cyanamid, Bound Brook, New JerseyASQC CHEMICAL DIVISION TECHNICAL CONFERENCE 1971 PRIZE WINNING PAPERExperience has shown that unless special care is exercised in analyzing multiresponse data serious mistakes can be made. In this paper some problems associated with fitting multiresponse models are identified and discussed. In particular, three kinds of dependencies are considered: dependence among the errors, linear dependencies among the expected values of the responses, and linear dependencies in the data. Since ignoring such dependencies can lead to difficulties, a method is described for detecting and handling them. The concepts involved are illustrated with a chemical example.


Estimation,Statistical methods,Linear models,Values,Nonlinear models,Chemical and process industries,Multivariate analysis

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