Measures of departure from marginal homogeneity model in square contingency tables

Yıl 2018, Cilt: 11 Sayı: 2, 93 - 108, 31.12.2018

Gökçen Altun , Serpil Aktaş

Öz

In this study, the measures representing the departure from MH model is introduced for square contingency tables and standard errors of these measures is calculated. These measures lies between (-1,1) and represent the departure degree from MH model. Three real data sets are used as the illustrative examples. While the measures of departure are calculated for each category, the categories causing the departure from the MH model can be obtained and interpreted.

Anahtar Kelimeler

Square contingency tables, marginal homogeneity model, departure measure

Karesel olumsallık tablolarında marjinal homojenlik modelinden sapma ölçüleri

Öz

In this study, the measures representing the departure from MH model is introduced for square contingency tables and standard errors of these measures is calculated. These measures lies between (-1,1) and represent the departure degree from MH model. Three real data sets are used as the illustrative examples. While the measures of departure are calculated for each category, the categories causing the departure from the MH model can be obtained and interpreted.

Anahtar Kelimeler

Karesel olumsallık tablosu, marjinal homojenlik modeli, sapma ölçüsü

Kaynakça

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• [4] Lawal, B, H, ,2008 On Fitting the Conditional Difference Asymmetry Models to Square Contingency Tables with Nominal Categories, Quality & Quantity, 42(5), 605-612.
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• [7] Agresti, A., 2003 Categorical data analysis (Vol. 482). John Wiley & Sons.
• [8] Turkish Statistical Institute (TÜİK) Marriage and Divorce Statistics 1991,2001,2011