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Biometrika 1972 59(3):686-687; doi:10.1093/biomet/59.3.686
© 1972 by Biometrika Trust
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MISCELLANEA

A note on the equality of least squares estimates using second-order equiradial rotatable designs

JOHN A. CORNELL

University of Florida

When investigating response surfaces where the observations are uncorrelated but the magnitude of their variances is constant at points equidistant from the centre of the design, second-order equiradial rotatable deeigns possess the property that the parameter estimates are identical using either weighted or unweighted least squares. Knowledge of this property of these designs can result in a considerable saving of time and labour if one has performed an unweighted analysis but discovers later he should have performed a weighted analysis.

Key Words: Equiradial rotatable design • Weighted and unweighted parameter estimates • Concentric sets of design points • Response surface design • Regression designs


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