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Correspondence analysis and association models constrained by a conditional independence graph.

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Correspondence analysis and association models constrained by a conditional independence graph. / de Falguerolles, Antoine; Jmel, Said; Whittaker, Joe C.
In: Psychometrika, Vol. 60, No. 2, 06.1995, p. 161-180.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

de Falguerolles, A, Jmel, S & Whittaker, JC 1995, 'Correspondence analysis and association models constrained by a conditional independence graph.', Psychometrika, vol. 60, no. 2, pp. 161-180. https://doi.org/10.1007/BF02301411

APA

de Falguerolles, A., Jmel, S., & Whittaker, J. C. (1995). Correspondence analysis and association models constrained by a conditional independence graph. Psychometrika, 60(2), 161-180. https://doi.org/10.1007/BF02301411

Vancouver

de Falguerolles A, Jmel S, Whittaker JC. Correspondence analysis and association models constrained by a conditional independence graph. Psychometrika. 1995 Jun;60(2):161-180. doi: 10.1007/BF02301411

Author

de Falguerolles, Antoine ; Jmel, Said ; Whittaker, Joe C. / Correspondence analysis and association models constrained by a conditional independence graph. In: Psychometrika. 1995 ; Vol. 60, No. 2. pp. 161-180.

Bibtex

@article{006c6c42e45d46acb39bb7cbb08428bd,
title = "Correspondence analysis and association models constrained by a conditional independence graph.",
abstract = "The manner in which the conditional independence graph of a multiway contingency table effects the fitting and interpretation of the Goodman association model (RC) and of correspondence analysis (CA) is considered. Estimation of the row and column scores is presented in this context by developing a unified framework that includes both models. Incorporation of the conditional independence constraints inherent in the graph may lead to equal or additive scores for the corresponding marginal tables, depending on the topology of the graph. An example of doubly additive scores in the analysis of a Burt subtable is given.",
keywords = "RC-association model - collapsibility - conditional independence - correspondence analysis - graphical model - independence graph - log-linear model - multiway contingency table - score additivity",
author = "{de Falguerolles}, Antoine and Said Jmel and Whittaker, {Joe C.}",
year = "1995",
month = jun,
doi = "10.1007/BF02301411",
language = "English",
volume = "60",
pages = "161--180",
journal = "Psychometrika",
issn = "0033-3123",
publisher = "Springer New York",
number = "2",

}

RIS

TY - JOUR

T1 - Correspondence analysis and association models constrained by a conditional independence graph.

AU - de Falguerolles, Antoine

AU - Jmel, Said

AU - Whittaker, Joe C.

PY - 1995/6

Y1 - 1995/6

N2 - The manner in which the conditional independence graph of a multiway contingency table effects the fitting and interpretation of the Goodman association model (RC) and of correspondence analysis (CA) is considered. Estimation of the row and column scores is presented in this context by developing a unified framework that includes both models. Incorporation of the conditional independence constraints inherent in the graph may lead to equal or additive scores for the corresponding marginal tables, depending on the topology of the graph. An example of doubly additive scores in the analysis of a Burt subtable is given.

AB - The manner in which the conditional independence graph of a multiway contingency table effects the fitting and interpretation of the Goodman association model (RC) and of correspondence analysis (CA) is considered. Estimation of the row and column scores is presented in this context by developing a unified framework that includes both models. Incorporation of the conditional independence constraints inherent in the graph may lead to equal or additive scores for the corresponding marginal tables, depending on the topology of the graph. An example of doubly additive scores in the analysis of a Burt subtable is given.

KW - RC-association model - collapsibility - conditional independence - correspondence analysis - graphical model - independence graph - log-linear model - multiway contingency table - score additivity

U2 - 10.1007/BF02301411

DO - 10.1007/BF02301411

M3 - Journal article

VL - 60

SP - 161

EP - 180

JO - Psychometrika

JF - Psychometrika

SN - 0033-3123

IS - 2

ER -