Statistical Papers

, Volume 39, Issue 1, pp 41–60 | Cite as

Modifying and using Yates' algorithm

  • Hans Riedwyl


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 2 k factorial design and to generate the layout sheet of a 2 k−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.

Key words

Yates' algorithm 2k factorial design fractional factorial design 


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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Hans Riedwyl
    • 1
  1. 1.Institute of Mathematical Statistics and Actuarial ScienceUniversity of BerneBernSwitzerland

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