Frequency data obtained classifying a sample of 'units' by the same categorical variable repeatedly over 'components', can be arranged in a hypercubic concordance table (h.c.t.). This kind of data naturally arises in a number of different areas such as longitudinal studies, studies using matched and clustered data, item-response analysis, agreement analysis. In spite of the substantial diversity of the mechanisms that can generate them, data arranged in a h.c.t. can ail be analyzed via models of symmetry and quasi-symmetry, which exploit the special structure of the h.c.t. The paper extends the definition of such models to any dimension, introducing the class of generalized symmetry models, which provides a unified framework for inference on categorical data that can be represented in a h.c.t.. Within this framework it is possible to derive the common structure which underlies these models and clarify their meaning;their usefulness in applied work is illustrated by a re-analysis of two real examples

Lovison G (2000). Generalized symmetry models for hypercubic concordance tables. INTERNATIONAL STATISTICAL REVIEW, 68(3), 323-338 [10.1111/j.1751-5823.2000.tb00334.x].

Generalized symmetry models for hypercubic concordance tables.

LOVISON, Gianfranco
2000

Abstract

Frequency data obtained classifying a sample of 'units' by the same categorical variable repeatedly over 'components', can be arranged in a hypercubic concordance table (h.c.t.). This kind of data naturally arises in a number of different areas such as longitudinal studies, studies using matched and clustered data, item-response analysis, agreement analysis. In spite of the substantial diversity of the mechanisms that can generate them, data arranged in a h.c.t. can ail be analyzed via models of symmetry and quasi-symmetry, which exploit the special structure of the h.c.t. The paper extends the definition of such models to any dimension, introducing the class of generalized symmetry models, which provides a unified framework for inference on categorical data that can be represented in a h.c.t.. Within this framework it is possible to derive the common structure which underlies these models and clarify their meaning;their usefulness in applied work is illustrated by a re-analysis of two real examples
Settore SECS-S/01 - Statistica
Lovison G (2000). Generalized symmetry models for hypercubic concordance tables. INTERNATIONAL STATISTICAL REVIEW, 68(3), 323-338 [10.1111/j.1751-5823.2000.tb00334.x].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/36311
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 4
social impact