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