Decomposition of symmetric multivariate density function
SUT Journal of Mathematics, 2012 For a T-variate density function, the present article denes the quasi-symmetry of order k (< T) and the marginal symmetry of order k, and gives the theorem that the density function is T-variate permutation symmetric if and only if it is quasi-symmetric ...
Kiyotaka Iki, Kouji Tahata, S. Tomizawa
semanticscholar +1 more source
Phi, Fei, Fo, Fum: Effect sizes for categorical data that use the chi‑squared statistic [PDF]
, 2023 In both theoretical and applied research, it is often of interest to assess the strength of an observed association. Existing guidelines also frequently recommend going beyond null-hypothesis significance testing and reporting effect sizes and their ...
Ben-Shachar, M. +4 more
core +1 more source
Subsymmetry and asymmetry models for multiway square contingency tables with ordered categories
Open Mathematics, 2016 This paper suggests several models that describe the symmetry and asymmetry structure of each subdimension for the multiway square contingency table with ordered categories.
Aktaş Serpil
doaj +1 more source
Exact sampling and counting for fixed-margin matrices [PDF]
, 2013 The uniform distribution on matrices with specified row and column sums is often a natural choice of null model when testing for structure in two-way tables (binary or nonnegative integer).
Harrison, Matthew T., Miller, Jeffrey W.
core +1 more source
Star graphs induce tetrad correlations: for Gaussian as well as for binary variables [PDF]
, 2014 Tetrad correlations were obtained historically for Gaussian distributions when tasks are designed to measure an ability or attitude so that a single unobserved variable may generate the observed, linearly increasing dependences among the tasks.
Marchetti, Giovanni M., Wermuth, Nanny
core +2 more sources
Nonparametric spectral-based estimation of latent structures [PDF]
, 2014 We present a constructive identification proof of p-linear decompositions of q-way arrays. The analysis is based on the joint spectral decomposition of a set of matrices.
Bonhomme, Stéphane +2 more
core +1 more source
Higher Lawrence configurations
, 2003 Any configuration of lattice vectors gives rise to a hierarchy of higher-dimensional configurations which generalize the Lawrence construction in geometric combinatorics.
Bernd Sturmfels +7 more
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A two-dimensional index for marginal homogeneity in ordinal square contingency tables [PDF]
, 2021 For square contingency tables with ordered categories, indexes that represent the degree of departure from the marginal homogeneity (MH) model have been proposed. There are two types of directionalities of departure from MH. The existing indexes, however,
Aki Ishii +3 more
core
The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios [PDF]
, 2005 We study the geometric structure of the statistical models for two-by-two contingency tables. One or two odds ratios are fixed and the corresponding models are shown to be a portion of a ruled quadratic surface or a segment.
Carlini, Enrico, Rapallo, Fabio
core +2 more sources
Additive kappa can be increased by combining adjacent categories [PDF]
, 2015 Weighted kappa is a measure that is commonly used for quantifying similarity between two ordinal variables with identical categories. Additive kappa is a special case of weighted kappa that allows the researcher to specify distances between adjacent ...
Warrens, Matthijs J
core +2 more sources