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

Nanny Wermuth (Institutionen för matematiska vetenskaper, matematisk statistik) ; G. M. Marchetti
Electronic Journal of Statistics (1935-7524). Vol. 8 (2014), 1, p. 253-273.
[Artikel, refereegranskad vetenskaplig]

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. We connect such generating processes to a particular type of directed graph, the star graph, and to the notion of traceable regressions. Tetrad correlation conditions for the existence of a single latent variable are derived. These are needed for positive dependences not only in joint Gaussian but also in joint binary distributions. Three applications with binary items are given.

Nyckelord: Directed star graph, factor analysis, graphical Markov models, item response models, latent class models, traceablereg ression, ASSOCIATION, MODELS, IDENTIFICATION, REGRESSIONS, LIKELIHOOD, SEQUENCES, SYSTEMS, MPSTER AP, 1972, BIOMETRICS, V28, P157



Denna post skapades 2014-05-15. Senast ändrad 2015-02-13.
CPL Pubid: 198132

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Matematik
Matematisk statistik

Chalmers infrastruktur