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Methods of Analysing Binomial Data in a Two‐Factor Experiment Without Replication Compared by Computer Simulation
Author(s) -
Kemp K. E.,
Butcher D. F.
Publication year - 1972
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2346276
Subject(s) - replication (statistics) , statistics , binomial (polynomial) , computer science , factor (programming language) , mathematics , programming language
Summary 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, χ 2 and Friedman's non‐parametric procedure were determined. Three‐way χ 2 and Tukey's test for non‐additivity were compared for their power for finding interactions of various forms. In all cases the χ 2 test proved superior.