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Some New Three Level Designs for the Study of Quantitative Variables

Technometrics · 1960 · Vol. 2(4) · pp. 455–475

Abstract

A class of incomplete three level factorial designs useful for estimating the coefficients in a second degree graduating polynomial are described. The designs either meet, or approximately meet, the criterion of rotatability and for the most part can be orthogonally blocked. A fully worked example is included.

Optimal Experimental Design MethodsFactorial experimentMathematicsClass (philosophy)StatisticsDegree (music)Fractional factorial designFactorialPolynomialComputer scienceArtificial intelligence
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References
THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
Biometrika · 1946 · 3,783 citations
On the Experimental Attainment of Optimum Conditions
Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1951 · 4,325 citations
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