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Methods of Analysing Binomial Data in a Two‐Factor Experiment Without Replication Compared by Computer Simulation

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  • K. E. Kemp
  • D. F. Butcher

Abstract

Four common methods of analysing percentage (attribute) data were compared for the case of a 3 × 3 analysis without replication. Data with no interaction, linear‐ × ‐linear, linear‐ × ‐quadratic and quadratic‐ × ‐quadratic interactions were sequentially generated and the effects of interaction, and form of interaction, on the power of the F‐test, χ2 and Friedman's non‐parametric procedure were determined. Three‐way χ2 and Tukey's test for non‐additivity were compared for their power for finding interactions of various forms. In all cases the χ2 test proved superior.

Suggested Citation

  • K. E. Kemp & D. F. Butcher, 1972. "Methods of Analysing Binomial Data in a Two‐Factor Experiment Without Replication Compared by Computer Simulation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 21(3), pages 261-273, November.
    • Handle: RePEc:bla:jorssc:v:21:y:1972:i:3:p:261-273
    DOI: 10.2307/2346276
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