Tests for bivariate symmetry against ordered alternatives in square contingency tables
| dc.contributor.author | Menéndez Calleja, María Luisa | |
| dc.contributor.author | Pardo Llorente, Julio Ángel | |
| dc.contributor.author | Pardo Llorente, Leandro | |
| dc.date.accessioned | 2023-06-20T09:43:27Z | |
| dc.date.available | 2023-06-20T09:43:27Z | |
| dc.date.issued | 2003-03 | |
| dc.description.abstract | Let X and Y denote two ordinal response variables, each having I levels. When subjects are classified on both variables, there are I-2 possible combinations of classifications. Let p(ij) = Pr(X = i, Y = j). This paper introduces a family of tests based on phi-divergence measures for testing H-0: p(ij) = p(ji) against H-1: p(ij) greater than or equal to p(ji) (i greater than or equal to j); and for testing H-1 against H-2: p(ij) unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17528 | |
| dc.identifier.doi | 10.1111/1467-842X.00265 | |
| dc.identifier.issn | 1369-1473 | |
| dc.identifier.officialurl | http://onlinelibrary.wiley.com/doi/10.1111/1467-842X.00265/pdf | |
| dc.identifier.relatedurl | http://onlinelibrary.wiley.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50250 | |
| dc.issue.number | 1 | |
| dc.journal.title | Australian & New Zealand Journal of Statistics | |
| dc.language.iso | eng | |
| dc.page.final | 123 | |
| dc.page.initial | 115 | |
| dc.publisher | Blackwell | |
| dc.relation.projectID | DGI BFM2000-0800 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.237 | |
| dc.subject.keyword | chi-bar squared distribution | |
| dc.subject.keyword | contingency table | |
| dc.subject.keyword | φ-divergence measure | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | Tests for bivariate symmetry against ordered alternatives in square contingency tables | |
| dc.type | journal article | |
| dc.volume.number | 45 | |
| dcterms.references | Agresti, A. (1990). Categorical Data Analysis. NewYork:Wiley. Ali, S.M. & Silvey, S.D. (1966).A general class of coefficient of divergence of one distribution from another. J. Roy. Statist. Soc. 286, 131–142. Andersen, E.B. (1998). Introduction to the Statistical Analysis of Categorical Data. Berlin: Springer. Barmi, H.E.&Kochar, S.C. (1995). Likelihood ratio tests for bivariate symmetry against ordered alternatives in a squared contingency table. Statist. Probab. Lett. 22, 167–173. Bishop, M.M., Fienberg, S.E & Holland, P.W. (1975). Discrete Multivariate Analysis:Theory and Practice. Cambridge, Mass: MIT Press. Bowker, A. (1948). A test for symmetry in contingency tables. J. Amer. Statist. Assoc. 43, 572–574. Cressie, N. & Read, T.R.C. (1984). Multinomial goodness-of-fit tests. J. Roy. Statist. Soc. Ser. B 46, 440–464. Csiszár, I. (1963). Eine Informationstheoretische Ungleichung und ihre Anwendung auf den bewis der Ergodizität on Markhoffschen Ketten. Publ. Math. Inst. Hungar. Acad. Sci. 8, 84–108. Robertson, T., Wright, F.T. & Dykstra, R.L. (1988). Order Restricted Statistical Inference. New York: Wiley. Sprent, P. (1993). Applied Nonparametric Statistical Methods. London: Chapman & Hall. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5e051d08-2974-4236-9c25-5e14369a7b61 | |
| relation.isAuthorOfPublication | a6409cba-03ce-4c3b-af08-e673b7b2bf58 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5e051d08-2974-4236-9c25-5e14369a7b61 |
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