Algebraic factor analysis: tetrads, pentads and beyond

Algebraic Factor Analysis: Tetrads, Pentads and Beyond

Factor analysis refers to a statistical model in which observed variables are conditionally independent given fewer hidden variables, known as factors, and all the random variables follow a multivariate normal distribution. The parameter space of a factor analysis model is a subset of the cone of positive definite matrices. This parameter space is studied from the perspective of computational a...

0 v 1 [ m at h . ST ] 1 7 Se p 20 05 Algebraic Factor Analysis : Tetrads , Pentads and Beyond

Factor analysis refers to a statistical model in which observed variables are conditionally independent given fewer hidden variables, known as factors, and all the random variables follow a multivariate normal distribution. The parameter space of a factor analysis model is a subset of the cone of positive definite matrices. This parameter space is studied from the perspective of computational a...

Statistical analysis of ordered tetrads.

Ordered tetrad data yield information on chromatid interference, chiasma interference, and centromere locations. In this article, we show that the assumption of no chromatid interference imposes certain constraints on multilocus ordered tetrad probabilities. Assuming no chromatid interference, these constraints can be used to order markers under general chiasma processes. We also derive multilo...

4. The g Beyond Factor Analysis

Algebraic modal correspondence: Sahlqvist and beyond

This paper provides a bridge in the gap between the model-theoretic and the algebraic side of modal correspondence theory. We give a new, algebraic proof of the classical Sahlqvist correspondence theorem, as well as a new, algebraic proof of the analogous result for the atomic inductive formulas, which form a proper extension of the Sahlqvist class.