Dergiler / Hacettepe Journal of Mathematics and Statistics / 2003 / Cilt: 32 - Sayı:

Analysis of triangular contingency tables

Sayfa
43–51
Yayın Tarihi
2022-10-18
DOI
—
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The homogeneity of the coefficients of variance was also tested.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper compares two methods involving the uniform association model and the quasi-independence model.
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Temel Bulgular & Veri:A simulation study based on 30,000 random triangular tables was performed for this com-parison.
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Sonuç & Katkı:The homogeneity of the coefficients of variance was also tested.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper compares two methods involving the uniform association model and the quasi-independence model. These models can be de-scribed in terms of the association parameters for the analysis of trian-gular contingency tables having ordered categories. A simulation study based on 30,000 random triangular tables was performed for this com-parison. Proportions of the rejected and accepted hypothesis under these models were obtained. From the results of the simulation study, the behaviour of the association parameters was discussed with respect to their coefficient of variations. The homogeneity of the coefficients of variance was also tested.

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Bu Makaleye Atıf Yap

AKTAŞ, S., SARAÇBAŞI, T. (2022). Analysis of triangular contingency tables. Hacettepe Journal of Mathematics and Statistics, Cilt: 32 - Sayı:, 43–51. https://ajindex.com/articles/530828

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Kaynakça (1)

  1. Aktaş, S. Analysis of Independence in Triangular Contingency Tables, Ph.D Thesis,(Ankara, 1999). [2] Altham, P. M. Quasi-independent triangular contingency tables, Biometrics, 233-238, 1975. [3] Bhoj D.S., Ahsanullah M. Testing equality of coefficients of variation of two populations,Biometrical Journal 35 (3), 355-359, 1993. [4] Bishop, Y. M. M., Fienberg, S. E. Incomplete two-dimensional contingency tables, Biometrics 28, 177-202, 1969.[5] Bishop Y. M.M., Fienberg S.E. and Holland P. W. Discrete Multivariate Analysis, Cam­bridge, (MA: MIT Press, 1975). [6] Dudewicz, E. J. and Mishra S. N. Modern Mathematical Statistics, (John Wiley & Sons, New York, 1988). [7] Goodman, L.A. The analysis of cross-classified data: Independence, quasi- independence and interactions in contingency tables with or without missing entries, JASA 63, 1091-1131, 1968. [8] Goodman, L.A. On quasi-independence in triangular contingency tables, Biometrics 35, 651-655, 1979. [9] Goodman, L.A. The Analysis of cross-classified data having and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries, The Annals of Statistics 13(1), 10-69, 1985. [10] Goodman, L.A. On quasi-independence and quasi-dependence in contingency tables, with special reference to ordinal triangular contingency tables, JASA 89, 1059-1063, 1994. [11] Mantel, N. Incomplete contingency tables, Biometrics 26, 291-304, 1970. [12] Sarkar, S.K. Quasi-independence in ordinal triangular contingency tables, JASA 84, 592-597, 1989. [13] SAS/STAT User's Guide, Version 6, Fourth Edition Vol.2, SAS Institute Inc.