Theoretical Statistics and Mathematics Unit, ISI Delhi

Efficiency Factors for Natural Contrasts in Partially Confounded Factorial Designs

by Aloke Dey

With reference to a partially confounded design for a $3^n$ factorial experiment, an explicit expression is derived for the efficiency factors of natural contrasts of the form linear, linear$\times$linear, linear$\times$quadratic, etc. This expression involves the harmonic mean of the efficiency factors for pencils. It is also shown that such a neat result does not exist for general $s$-level factorials where $s>3$. Nevertheless, the case of such general $s$ is also explored.

isid/ms/2012/04 [fulltext]

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