• Medientyp: E-Artikel
  • Titel: Diagnostic Results Concerning a Measure of Rotatability
  • Beteiligte: Khuri, Andre I.
  • Erschienen: Blackwell Publishers, 1992
  • Erschienen in: Journal of the Royal Statistical Society. Series B (Methodological)
  • Sprache: Englisch
  • ISSN: 0035-9246
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  • Beschreibung: <p>The measure of rotatability introduced by Khuri is utilized to determine the closeness of the prediction variance to being constant on a sphere S(r) of radius r centred at the origin. In particular, several upper bounds on the range of the prediction variances on S(r) are obtained. These upper bounds provide information about the amount of dispersion that can exist in the prediction variances on all spheres inside a region of interest. Such information gives added insight into the nature of 'near rotatability' of a given response surface design. This is illustrated in an example involving four designs: the 3&lt;sup&gt;2&lt;/sup&gt; factorial and three hybrid designs described by Roquemore, namely the 310, 311A and 311B designs.</p>