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Biometrika 1976 63(3):559-565; doi:10.1093/biomet/63.3.559
© 1976 by Biometrika Trust
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Algebraic results in the theory of serial factorial design

KIM-LIAN KOK and H. D. PATTERSON

Faculty of Economics and Administration, University of Malaya Kuala Lumpur
Agricultural Research Council Unit of Statistics, University of Edinburgh

A general class of serial factorial designs is defined in which direct effects are orthogonal to first residual effects. Conditions are established under which first residual effects are also orthogonal to direct × first residual interaction. Results are applied to existing designs.

Key Words: Changeover design • Factorial design • Orthogonality • Residual effect • Serial design


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