A Simulation Approach for Testing Non-hierarchical Log-linear Models

  • Park, Hyun-Jip (Full-time Lecturer, Department of Applied Information Statistics, Kyonggi University) ;
  • Hong, Chong-Sun (Professor, Department of Statistics, Sung Kyun Kwan University)
  • 발행 : 1999.08.01

초록

Let us assume that two different log-linear models are selected by various model selection methods. When these are non-hierarchical it is not easy to choose one of these models. In this paper the well-known Cox's statistic is applied to compare these non-hierarchical log-linear models. Since it is impossible to obtain the analytic solution about the problem we proposed a alternative method by extending Pesaran and pesaran's (1993) simulation approach. We find that the values of proposed test statistic and the estimates are very much stable with some empirical results.

키워드

참고문헌

  1. 로그선형모델을 이용한 범주형 자료분석 홍종선;최현집
  2. Discrete Multivariate Analysis : Theory and Practice Bishop, Y.M.M.;Fienberg, S.E.;Holland, P.W.
  3. Proceedings of the 4th Berkeley symposium v.1 Tests of separate families of hypothesis Cox, D.R.
  4. Journal of Royal Statistical Society B v.24 Further results on tests of separate families of hypotheses Cox, D.R.
  5. International Economic Review v.25 Model specification tests based on artificial linear regressions Davidson, R.;J.G. MacKinnon
  6. Annals of Mathematical Statistics v.11 On a least squares adjustment of a sampled frequency table when the expected marginal totals are known Deming, W.E.;Stephan, F.F.
  7. The American Statistician v.45 A method for generating high-dimensional multivariate binary variate Emrich, L.J.;Piedmonte, M.R.
  8. The American Statistician v.49 Generating multiplicate categorical variates using the iterative proportional fitting algorithm Gange, S.J.
  9. Biometrics v.25 Analysis of categorical data by linear models Grizzlel, J.E.;Starmer, C.F.;Koch, G.G.
  10. Annals of Mathematical Statistics v.22 On information and sufficiency Kullback, S.;Leibler, R.A.
  11. The American Statistician v.47 Generating random binary deviates having fixed marginal distributions and specified degrees of association Lee, A.J.
  12. Review of Economic Studies v.42 On general problem of model selection Pesaran, M.H.
  13. Economic Theory v.3 Global and partial non-nested hypotheses and asymptotic local power Pesaran, M.H.
  14. Econometrica v.46 Testing non-nested nonlinear regression models Pesaran, M.H.;Deaton, A.S.
  15. Journal of Econometrics v.57 A simulation approach to the problem of computing Cox's statistic for testing nonnested models Pesaran, M.H.;Pesaran, B
  16. Chemical Engineering Progress v.59 The Use of Chi-square for Preference Testing in Multidimensional Problems Ries, P.N.;Smith, H.