Balance, Orthogonality and Efficiency Factors in Factorial Design
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1985 · Volume 47 · Issue 3
DOI: 10.1111/j.2517-6161.1985.tb01374.x
Abstract
It is shown that (i) general balance with respect to the factorial structure and (ii) orthogonal factorial structure are essentially the same for factorial designs with a single system of blocks. Upper bounds for efficiency factors in generally balanced factorial designs are found which are tighter and more widely applicable than those previously available.
Keywords
balance, efficiency factor, factorial design, general balance, interaction, orthogonal factorial structure, regular, super-balance, super-regular, upper bound
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