Dimensions of higher order factor analysis models

DOI10.2140/astat.2023.14.91arXiv2209.14833OpenAlexW4389109547MaRDI QIDQ6192404

M. Ardiyansyah, Luca Sodomaco

Publication date: 12 February 2024

Published in: Algebraic Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.14833

zbMATH Keywords

symmetric tensorsfactor analysis modelhigher-order cumulants

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Probabilistic graphical models (62H22) Algebraic statistics (62R01) Statistics on algebraic and topological structures (62Rxx)

Cites Work

• Algebraic factor analysis: tetrads, pentads and beyond
• Estimating the dimension of a model
• The rank of reduced dispersion matrices
• Further analysis of the data by Akaike's information criterion and the finite corrections
• Algebraic Combinatorics
• Multi-Trek Separation in Linear Structural Equation Models
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