Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories
نویسندگان
چکیده
منابع مشابه
Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories
For square contingency tables with ordered categories, this article proposes new models, which are the extension of Tomizawa’s [1] diagonal exponent symmetry model. Also it gives the decomposition of proposed model, and shows the orthogonality of the test statistics for decomposed models. Examples are given and the simulation studies based on the bivariate normal distribution are also given.
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 کاملDecompositions for Extended Double Symmetry Models in Square Contingency Tables with Ordered Categories
For square contingency tables with ordered categories, Tomizawa (1992) proposed three kinds of double symmetry models, whose each has a structure of both symmetry about the main diagonal and asymmetry about the reverse diagonal of the table. This paper proposes the extensions of those models and gives the decompositions for three kinds of double symmetry models into the extended quasi double sy...
متن کاملA Modified Palindromic Symmetry Model for Square Contingency Tables with Ordered Categories
For the analysis of square contingency tables with the same row and column ordinal classifications, McCullagh (1978) considered the palindromic symmetry (PS) model, which has a multiplicative form for cumulative probabilities that an observation will fall in row (column) category i or below and column (row) category j (> i) or above. The present paper proposes a modified PS model which indicate...
متن کاملAnalysis of data in square contingency tables with ordered categories using the conditional symmetry model and its decomposed models.
For the analysis of square contingency tables with ordered categories, three kinds of decompositions for the conditional symmetry model derived by Tomizawa are simply described. Using the conditional symmetry model and its decomposed models, this paper analyzes the data of unaided distance vision of women in Britain first analyzed by Stuart, the data of unaided distance vision of students in a ...
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: Open Journal of Statistics
سال: 2015
ISSN: 2161-718X,2161-7198
DOI: 10.4236/ojs.2015.54028