Graphical Assessment of the Prediction Capability of Response Surface Designs

Article

Giovannitti-Jensen, Ann; Myers, Raymond H.   (1989, ASQC and the American Statistical Association)   Virginia Polytechnic Institute and State University, Blacksburg, VA

Technometrics    Vol. 31    No. 2
QICID: 9390    May 1989    pp. 159-171
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Article Abstract

Measures of the quality of prediction at locations on the surface of a hypersphere are presented. These measures are used to form a graphical method of assessing the overall prediction capability of an experimental design throughout the region of interest. A plot of the spherical variance and the maximum and minimum prediction variances for locations on a sphere against the radius of the sphere, a variance dispersion graph, is used to give a comprehensive picture of the behavior of the prediction variances throughout a region and hence of the quality of the predicted responses obtained with a particular design. Such plots are used to investigate and compare the prediction capabilities of certain response surface designs currently available to the researcher.

Keywords

Dispersion,Efficiency,Prediction,Spherical measures


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