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An Association Model for Trivariate Contingency Tables and The Underlying Trivariate Normal Distribution

An Association Model for Trivariate Contingency Tables and The Underlying Trivariate Normal... This paper compares an association model for trivariate contingency tables with the trivariate normal distribution. First, similarity between the two models is discussed. Second, it is proved that the association model approximates the discretized trivariate normal distribution. An aritificial illustration shows the degrees of the approximations in small tables. Third, estimation of the correlation coefficients of the underlying trivariate normal distribution is discussed. The present approach is illustrated by use of numerical examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Behaviormetrika Springer Journals

An Association Model for Trivariate Contingency Tables and The Underlying Trivariate Normal Distribution

Eshima, Nobuoki
Behaviormetrika , Volume 23 (2) – Sep 15, 1996
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12 pages

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Publisher
Springer Journals
Copyright
Copyright
Subject
Statistics; Statistical Theory and Methods; Statistics for Business, Management, Economics, Finance, Insurance; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
ISSN
0385-7417
eISSN
1349-6964
DOI
10.2333/bhmk.23.141
Publisher site
See Article on Publisher Site

Abstract

This paper compares an association model for trivariate contingency tables with the trivariate normal distribution. First, similarity between the two models is discussed. Second, it is proved that the association model approximates the discretized trivariate normal distribution. An aritificial illustration shows the degrees of the approximations in small tables. Third, estimation of the correlation coefficients of the underlying trivariate normal distribution is discussed. The present approach is illustrated by use of numerical examples.

Journal

Behaviormetrika – Springer Journals

Published: Sep 15, 1996

References

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    Agresti, A; Chuang, C; Kezouh, A
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    Becker, MP
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    Becker, MP
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    Becker, MP; Clogg, CC
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    Clogg, CC
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    Falguerolles, A; Jmel, S; Whittaker, J
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    Gilula, Z; Haberman, SJ
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    Gilula, Z; Kreger, AM; Ritov, Y
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    Goodman, LA
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    Goodman, LA
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    Goodman, LA
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    Goodman, LA
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    Lancaster, HO; Hamdan, MA
  • A comparison of latent trait and latent class analyses of Likert-type data
    Masters, GN
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    Tsujitani, M