Abstract
It is well known that Yates' algorithm can be used to estimate the effects in a factorial design. We develop a modification of this algorithm and call it modified Yates' algorithm and its inverse. We show that the intermediate steps in our algorithm have a direct interpretation as estimated level-specific mean values and effects. Also we show how Yates' or our modified algorithm can be used to construct the blocks in a 2k factorial design and to generate the layout sheet of a 2k−p fractional factorial design and the confounding pattern in such a design. In a final example we put together all these methods by generating and analysing a 26-2 design with 2 blocks.
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Riedwyl, H. Modifying and using Yates' algorithm. Statistical Papers 39, 41–60 (1998). https://doi.org/10.1007/BF02925371
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DOI: https://doi.org/10.1007/BF02925371