1995SUT Journal of MathematicsOpen access

FRACTIONAL 3m FACTORIAL DESIGNS WITH SPECIAL REFERENCE TO 18-RUN ORTHOGONAL 34 FACTORIAL DESIGNS

Hiromu Yumiba, Yoshifumi Hyodo, Sumiyasu Yamamoto

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Abstract

Loading vectors and loading coefficients of the parameters of a 3m factorial design and the characteristic vector of its information matrix are introduced. Specific properties of an orthogonal design derived from three-symbol orthogonal array of strength two are discussed. Orthogonal 18-run 34 factorial designs obtained respectively from the representatives of twelve isomorphic classes are reviewed and two designs among them are recommended for use from the practical point of view.

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Loading vectors and loading coefficients of the parameters of a 3m factorial design and the characteristic vector of its information matrix are introduced. Specific properties of an orthogonal design derived from three-symbol orthogonal array of strength two are discussed. Orthogonal 18-run 34 factorial designs obtained respectively from the representatives of twelve isomorphic classes are reviewed and two designs among them are recommended for use from the practical point of view.

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Available abstract

Loading vectors and loading coefficients of the parameters of a 3m factorial design and the characteristic vector of its information matrix are introduced. Specific properties of an orthogonal design derived from three-symbol orthogonal array of strength two are discussed. Orthogonal 18-run 34 factorial designs obtained respectively from the representatives of twelve isomorphic classes are reviewed and two designs among them are recommended for use from the practical point of view.

Key concepts: Fractional factorial design, Orthogonal array, Factorial, Factorial experiment, Mathematics, Point (geometry), Orthogonal matrix, Matrix (chemical analysis)

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