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Comparison of Deviance and F Statistics Used in Graphical Models Contains Continuous Variables

Year 2005, Volume: 4 Issue: 2, 55 - 64, 15.08.2005

Fikri Gökpınar

Abstract

Graphical models for variables, which was distributed multinormal is called covariance selection models. Covariance selection models were determined by conditional independences. In this study, deviance and F, which is used to test conditional independences, is compared under different sample size, different number of variables and different conditional independence structures by simulation.

Keywords

Conditional independence Covariance selection model Deviance F-Statistics

References

  • COX, D.R. and WERMUTH N., 1993, Linear Dependencies Represented By Chain Graph (With Discussion). Statistical Science, 8, 204-218.
  • DEMPSTER, A.P., 1972, Covariance Selection, Biometrics, 28, 157-75
  • EDWARDS, D., 2001, Introduction To Graphical Modelling, 2nd Edition, Springer-Verlag, New York
  • ERIKSEN P.S.,1996, Tests in Covariance Selection Models. Scand. Journal of Statistics. 23, 275-284
  • LAURITZEN, S.L. and WERMUTH, N., 1989. Graphical Models for Associations Between Variables, Some of Which Are Qualitative and Quantative, Annals Of Statistics, 17, 31-57
  • WERMUTH, N., 1980, Linear Recursive Equations, Covariance Selections and Path Analysis, Journal of American Statistical Asociation, 75, 963, 72
  • WHITTAKER, J., 1990, Graphical Models in Applied Multivariate Statistics, John Wiley And Sons, Chichester.
  • WRIGHT, S., 1923, The Theory of Path Coefficients: a Reply To Niles' Criticism. Genetics, 8, 239-55

Sürekli Değişkenler İçeren Grafiksel Modellerde Kullanılan Sapma ve F- İstatistiklerinin Karşılaştırılması

Year 2005, Volume: 4 Issue: 2, 55 - 64, 15.08.2005

Fikri Gökpınar

Abstract

Çok değişkenli normal dağılıma sahip değiskenler için kullanılan grafiksel modeller kovaryans seçimli modeller olarak adlandırılır. Böyle modeller değişken çiftlerinin koşullu bağımsızlığına dayanarak belirlenir. Bu çalışmada kovaryans seçimli modeller için test işleminde kullanılan sapma ve F istatistikleri farklı örmek çapları, değişken sayıları ve koşullu bağımsızlık yapıları altında simülasyon yoluyla karşılaştırılmıştır.

Keywords

Koşullu Bağımsızlık Kovaryans Seçimli Modeller Sapma F İstatistiği

References

  • COX, D.R. and WERMUTH N., 1993, Linear Dependencies Represented By Chain Graph (With Discussion). Statistical Science, 8, 204-218.
  • DEMPSTER, A.P., 1972, Covariance Selection, Biometrics, 28, 157-75
  • EDWARDS, D., 2001, Introduction To Graphical Modelling, 2nd Edition, Springer-Verlag, New York
  • ERIKSEN P.S.,1996, Tests in Covariance Selection Models. Scand. Journal of Statistics. 23, 275-284
  • LAURITZEN, S.L. and WERMUTH, N., 1989. Graphical Models for Associations Between Variables, Some of Which Are Qualitative and Quantative, Annals Of Statistics, 17, 31-57
  • WERMUTH, N., 1980, Linear Recursive Equations, Covariance Selections and Path Analysis, Journal of American Statistical Asociation, 75, 963, 72
  • WHITTAKER, J., 1990, Graphical Models in Applied Multivariate Statistics, John Wiley And Sons, Chichester.
  • WRIGHT, S., 1923, The Theory of Path Coefficients: a Reply To Niles' Criticism. Genetics, 8, 239-55
There are 8 citations in total.

Details

Primary Language Turkish
Subjects Statistics
Journal Section Research Articles
Authors

Fikri Gökpınar

Publication Date August 15, 2005
Published in Issue Year 2005 Volume: 4 Issue: 2

Cite

APA Gökpınar, F. (2005). Sürekli Değişkenler İçeren Grafiksel Modellerde Kullanılan Sapma ve F- İstatistiklerinin Karşılaştırılması. İstatistik Araştırma Dergisi, 4(2), 55-64.
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