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Journal of Statistical Computation and Simulation Volume 15, 1982 - Issue 1
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Original Articles

A comparison of the additive and multiplicative definitions of second-order interaction in 2×2×2 contingency tables

M.E. O'Neill Biometry, Univeristy of Sydney, This work was undertaken at Strathclyde University, Scotland, while the author was a Visiting Lecturer, Australia
Pages 33-50 | Received 27 Oct 1980, Published online: 20 Mar 2007

References

  • Bartlett , M.S. 1935 . Contingent table interactions . J Roy. Statist. Soc. Suppl , 2 : 248 – 252 .
  • Bishop , Y.M.M. , Fienberg , S.F. and Holland , P.W. 1975 . Discrete Multivariate Analysis , Massachusetts : The MIT Press .
  • Darroch , J.N. 1962 . Interaction in multilactor contingency tables . J Row Statist. Soc , 24 : 251 – 263 .
  • Darroch , J.N. 1974 . Multiplicative and additive interaction in contingency tables . Biometrika , 61 : 207 – 214 .
  • Goodman , L.A. 1964 . Simple methods for analyzing three-factor interaction in contingency tables . J. Amer. Statist. Assoc , 59 : 319 – 352 .
  • Lancaster , H.O. 1951 . Complex contingency tables treated by the partition of x2 . J. Roy. Statist Soc , 13 : 242 – 249 .
  • Lancaster , H.O. 1960 . On tests of independence in several dimensions . J. Austral Math. Soc , 1 : 241 – 254 .
  • Lancaster , H.O. 1969 . The Chi-Squared Distribution , New York : Wiley .
  • Lancaster , H.O. 1971 . The multiplicative definition of interaction . Austral. J. Statist , 13 : 36 – 44 .
  • Murphy , B.P. 1978 . A note on current methods of partitioning the contingency y 2 statistic . J. Statist. Compu Simul , 6 : 157 – 167 .
  • O'Neill , M.L. 1980 . The distribution of higher-order interactions in contingency tables . J Roy. Statist. Soc , B 42 : 357 – 365 .
  • Plackett , R.L. 1974 . The Analysis of Categorical Data , London : Griffin .

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