DEPARTURE FROM QUASI-UNIFORM ASSOCIATION MODEL IN SQUARE CONTINGENCY TABLES
نویسندگان
چکیده
The Uniform Association (UA) and Quasi-Uniform (QUA) models are used for analysis of two-way square contingency tables with ordered categories. When the QUA model does not fit data, one wants to measure degree departure from quasi-uniform association model. is calculated by usingthe power divergence statistics. In this study, as an alternative measures in literature, a estimate suggested. This suggested allows us compare several R×R terms compared simulation study discussed three unaided distance vision data.
منابع مشابه
Measure of Departure from Average Cumulative Symmetry for Square Contingency Tables with Ordered Categories
Problem statement: For square contingency tables with ordered categories, we are interested in considering a structure of weak symmetry when Bowker’s symmetry model does not hold and in measuring the degree of departure from weak symmetry. Approach: The present study considered the average cumulative symmetry model that has a weaker restriction than the structure of symmetry. It also gave a mea...
متن کاملChi-Square Test: Analysis of Contingency Tables
The original chi-square test, often known as Pearson’s chi-square, dates from papers by Karl Pearson in the earlier 1900s. The test serves both as a ”goodnessof-fit” test, where the data are categorized along one dimension, and as a test for the more common ”contingency table”, in which categorization is across two or more dimensions. Voinov and Nikulin, this volume, discuss the controversy ove...
متن کاملBayesian inference for square contingency tables
Inference for multivariate categorical data often proceeds by selecting a log-linear model from a set of competing models or, in a Bayesian approach, by averaging inferences over the set, weighted by posterior probabilities. In this paper, we use permutation invariance as a criterion for constructing a set of models for this purpose, for the common situation when the data form a ‘square’ contin...
متن کاملRidit Score Type Quasi-Symmetry and Decomposition of Symmetry for Square Contingency Tables with Ordered Categories
Abstract: For square contingency tables with the same row and column ordinal classifications, this paper proposes the quasi-symmetry model based on the marginal ridits. The model indicates that the log-odds that an observation will fall in the (i, j) cell instead of in the (j, i) cell, i < j, is proportional to the difference between the average ridit score of row and column marginal distributi...
متن کاملOn Quasi-Symmetry Based on Ridit for Analysis of Square Contingency Tables
For square contingency tables with the same row and column ordinal classifications, we propose a model of quasi-symmetry using the row and column marginal ridits scores. Using the proposed model, the model of equality of marginal mean ridits and the model of equality of marginal variance ridits, we give a theorem such that the symmetry model holds if and only if all these models hold. Moreover,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mu?la journal of science and technology
سال: 2021
ISSN: ['2149-3596']
DOI: https://doi.org/10.22531/muglajsci.960976