Advances in quasi-symmetry for square contingency tables

K Tahata - Symmetry, 2022 - mdpi.com
Contingency tables highlight relationships between categorical variables. Typically, the
symmetry or marginal homogeneity of a square contingency table is evaluated. The original …

On the Nuisance Parameter Elimination Principle in Hypothesis Testing

AF Flórez Rivera, LG Esteves, V Fossaluza… - Entropy, 2024 - mdpi.com
The Non-Informative Nuisance Parameter Principle concerns the problem of how inferences
about a parameter of interest should be made in the presence of nuisance parameters. The …

Measure of departure from partial symmetry for square contingency tables

Y Saigusa, K Tahata… - Journal of Mathematics and …, 2016 - tus.elsevierpure.com
For square contingency tables, the present paper newly considers the partial symmetry
model which indicates that there is a symmetric structure of probabilities for at least one of …

Measure of deviancy from marginal mean equality based on cumulative marginal probabilities in square contingency tables

S Ando - Metrika, 2024 - Springer
This study proposes a measure that can concurrently evaluate the degree and direction of
deviancy from the marginal mean equality (ME) model in square contingency tables with …

Families of Generalized Quasisymmetry Models: A ϕ-Divergence Approach

M Kateri - Symmetry, 2021 - mdpi.com
The quasisymmetry (QS) model for square contingency tables is revisited, highlighting
properties and features on the basis of its alternative definitions. More parsimonious QS-type …

An index for the degree and directionality of asymmetry for square contingency tables with ordered categories

T Momozaki, T Nakagawa, K Iki, S Tomizawa - Austrian Journal of Statistics, 2023 - ajs.or.at
For square contingency tables with ordered categories, an index based on Cressie and
Read's power divergence (or Patil and Taillie's diversity index) has been proposed in order …

An index for measuring degree of departure from symmetry for ordinal square contingency tables

S Ando, T Momozaki, Y Masusaki… - Journal of the Korean …, 2024 - Springer
For the analysis of square contingency tables with the same row and column ordinal
classifications, this study proposes an index for measuring the degree of departure from the …

Asymmetry model based on quasi local odds symmetry for square contingency tables

S Ando - Symmetry, 2022 - mdpi.com
For the analysis of square contingency tables, the primary objective is to estimate an
unknown distribution from presented data. To achieve this objective, we generally use a …

[PDF][PDF] Extended marginal homogeneity model based on complementary log-log transform for square tables

Y Saigusa, T Maruyama, K Tahata… - International Journal of …, 2018 - epe.lac-bac.gc.ca
For square contingency tables with the same ordinal row and column classifications,
McCullagh (1977) gave the marginal cumulative logistic model, which is an extension of the …

Measure of departure from marginal point-symmetry for multi-way contingency tables

K Saito, A Ishii, K Iki, S Tomizawa - SUT Journal of Mathematics, 2022 - projecteuclid.org
To analyze two-way contingency tables with ordered categories, Iki and Tomizawa (2018)
proposed a measure to distinguish two kinds of marginal asymmetry for the midpoint …