Asymmetry Models Based on Non-integer Scores for Square Contingency Tables

Abstract Square contingency tables with ordinal classifications are used in many disciplines that include but not limited to data science, engineering, and medical research. This study proposes two original asymmetry models based on non-integer scores for the analysis of square tables. The quasi-symmetry model applies sets can be assigned known ordered all categories. When we assign equally spaced score categories, is equivalent linear diagonals-symmetry model. model, however, applicable cannot addresses this issue. proposed apply that: (i) except one category (ii) These provide a better fit than existing real-world data.