Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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On the Comparison of Two Non-hierarchical Log-linear Models

  • Published : 1998.12.01
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Abstract

Suppose we want to compare following non-hierarchical log-linear models, $H_0:f(x, heta inTheta_a)$ vs H_1:g(x, heta inTheta_eta); for; Theta_a,;Theta_etasubsetTheta;such;that;Theta_$\alpha$/ Theta_eta$. The goodness of fit test using the likelihood ratio test statistic for comparing these models could not be acceptable. By using the polyhedrons plots of Choi and Hong (1995), we propose a method to decide a better model between two non-hierarchical log-linear models $f(x: heta inTheta_a) and g(x: heta inTheta_eta)$.

Keywords

References

  1. Proc. 4th Berkeley Symp. v.1 Tests of separate families of hypotheses Cox, D. R.
  2. J. Royal Statist. Soc. B. v.24 Further results on tests of separate families of hypotheses Cox, D. R.
  3. The Korean Communications in Statistics v.2 no.2 Graphical descriptions for hierarchical log-linear models Choi, H. J.;Hong, C. S.
  4. J. Royal Statist. Soc. B v.24 Comparison of probability distributions Lindsey, J. K.
  5. J. Royal Statist. Soc. v.24 Construction and comparison of statistical models Lindsey, J. K.
  6. Chemical Engineering Progress v.59 The use of chi-square for preference testing in multidimensional problems Ries, P. N.;Smith, H.
  7. Log-linear Models Hong, C. S.