Algebraic descriptions of nominal multivariate discrete data

JOURNAL OF MULTIVARIATE ANALYSIS

卷:67

Article

Teugels, JL ; Van Horebeek, J

关键词: multivariate discrete distributions;    categorical data;    log-linear models;    marginal homogeneity;   

DOI  :  10.1006/jmva.1998.1764

来源: Elsevier

【 摘 要 】

Traditionally, multivariate discrete data are analyzed by means of log-linear models. In this paper we show how an algebraic approach leads naturally to alternative models, parametrized in terms of the moments of the distribution. Moreover we derive a complete characterization of all meaningful transformations of the components and show how transformations affect the moments of a distribution. rt turns out that our models provide the necessary formal description of longitudinal data; moreover in the classical case, they can be considered as an analysis tool, complementary to log-linear models. (C) 1998 Academic Press.

【 授权许可】

Free