Abstract
Orthogonal main-effect plans for two and three factors in small blocks are obtained from the dual of adjusted orthogonal row-column designs. The method for constructing efficient plans is presented, and a relationship between the average efficiency factors of the row-column design and the corresponding main effects is given for the two-factor case.
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Eccleston JA, John JA (1988) Nested row-column designs with adjusted orthogonality. Austral J Statist 30:78–84
Eccleston JA, John JA, Whitaker D (1993) Some row-column designs with adjusted orthogonality. J Statist Planning & Inference 36:323–330
Eccleston JA, Kiefer J (1981) Relationships of optimality for individual factors of design. J Statist Planning & Inference 5:213–219
Eccleston JA, Russell K (1977) Adjusted orthogonality in non-orthogonal designs. Biometrika 64:339–345
Jarrett RG (1989) A review of bounds for the efficiency factor of block designs. Austral J Statist 31:118–129
John JA (1987) Cyclic Designs. Chapman and Hall London
John JA, Eccleston JA (1986) Row-column α-designs. Biometrika 73:301–306
John JA, Whitaker D (1993) Construction of resolvable row-column designs usign simulated annealing. Austral J Statist 35:237–245
John PWM (1971) Statistical design and analysis of experiments. Macmillan New York
Patterson HD, Robinson DL (1989) Row-and-column designs with two replicates. J Agric Sci 12:73–77
Patterson HD, Williams ER (1976) A new class of resolvable incomplete block designs. Biometrika 63:83–92
Tjur T (1990) A new upper bound for the efficiency factor of a block design. Austral J Statist 32:231–237
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Orthogonal Main Effect.
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Eccleston, J.A., John, J.A. Orthogonal main effect plans for two and three factors in small blocks. Metrika 43, 203–211 (1996). https://doi.org/10.1007/BF02613908
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DOI: https://doi.org/10.1007/BF02613908