Star graphs induce tetrad correlations: for Gaussian as well as for binary variables

DOI10.1214/14-EJS884zbMath1293.62029arXiv1307.5396OpenAlexW2015262657MaRDI QIDQ2444221

Nanny Wermuth, Giovanni M. Marchetti

Publication date: 9 April 2014

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5396

zbMATH Keywords

factor analysislatent class modelsgraphical Markov modelsitem response modelsdirected star graphtraceable regression

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Characterization and structure theory of statistical distributions (62E10) Contingency tables (62H17)

Related Items

Testing order restrictions in contingency tables, Palindromic Bernoulli distributions, Binary distributions of concentric rings

Uses Software

• eRm
• poLCA
• mokken
• TETRAD

Cites Work

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• Conditional association and unidimensionality in monotone latent variable models
• Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen
• M-matrices as covariance matrices of multinormal distributions
• Partial inversion for linear systems and partial closure of independence graphs
• Covariance chains
• Regression with linear predictors. With 171 illustrations by Therese Graversen.
• Matrix representations and independencies in directed acyclic graphs
• EM algorithms for ML factor analysis
• Causation, prediction, and search
• A likelihood ratio test for \(\text{MTP}_ 2\) within binary variables.
• Sequences of regressions and their independences
• Triangular systems for symmetric binary variables
• Implicit inequality constraints in a binary tree model
• Tensors of nonnegative rank two
• Identification of discrete concentration graph models with one hidden binary variable
• Markov properties for mixed graphs
• Über die Determinanten mit überwiegender Hauptdiagonale
• A note on Lancaster's definition of higher-order interactions
• A note on the quadratic exponential binary distribution
• Miscellanea. Identification of a single-factor model using graphical Gaussian rules
• On some models for multivariate binary variables parallel in complexity with the multivariate Gaussian distribution
• On finite sequences of real numbers
• Association of Random Variables, with Applications
• An Inverse Matrix Adjustment Arising in Discriminant Analysis