The moment-corrected phi-divergence test statistics for symmetry
| dc.contributor.author | Menéndez Calleja, María Luisa | |
| dc.contributor.author | Pardo Llorente, Julio Ángel | |
| dc.contributor.author | Pardo Llorente, Leandro | |
| dc.date.accessioned | 2023-06-20T09:42:30Z | |
| dc.date.available | 2023-06-20T09:42:30Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | In this paper we consider the family of phi-divergence test statistics, T-n(phi,S), for the problem of symmetry in I x I contingency tables whose asymptotic distribution is chi-square with I (I - 1)/2 degrees of freedom and we propose a moment-corrected phi-divergence test statistic in order to improve the accuracy of the chi-square approximation of the distribution of T,T-n(phi,S) under the hypothesis of symmetry. | |
| 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/17344 | |
| dc.identifier.doi | 10.1016/j.cam.2006.02.034 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0377042706001427 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50222 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Computational and Applied Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 327 | |
| dc.page.initial | 315 | |
| dc.publisher | Elsevier Science | |
| dc.relation.projectID | DGES PB2003-892 | |
| dc.relation.projectID | UCM 2005-910707 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.237 | |
| dc.subject.keyword | Symmetry | |
| dc.subject.keyword | Contingency table | |
| dc.subject.keyword | Phi-divergence test statistic | |
| dc.subject.keyword | Corrected phi-divergence test statistic | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | The moment-corrected phi-divergence test statistics for symmetry | |
| dc.type | journal article | |
| dc.volume.number | 202 | |
| dcterms.references | A. Agresti, Categorical Data Analysis,Wiley, NewYork, 1990. S.M. Ali, S.D. Silvey, A general class of coefficients of divergence of one distribution from another, J. Roy. Statist. Soc. Ser. B 28 (1966) 131–142. E.B. Andersen, Introduction to the Statistical Analysis of Categorical Data, Springer, Berlin, 1998. H.E. Barmi, S.C. Kochar, Likelihood ratio tests for symmetry against ordered alternatives in a square contingency table, Statist. Probab. Lett. 2 (1995) 167–173. M.M. Bishop, S.E. Fienberg, P.W. Holland, Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge, MA, 1975. A. Bowker, A test for symmetry in contingency tables, J. Amer. Statist. Assoc. 43 (1948) 572–574. N. Cressie, T.R.C. Read, Multinomial goodness-of-fit tests, J. Roy. Statist. Soc. Ser. B 46 (1984) 440–464. I. Csiszàr, Eine Informationstheorestiche Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten, Math. Inst. Hungarian Acad. Sci. Ser. A 8 (1963) 84–108. M.L. Menéndez, J.A. Pardo, L. Pardo, Tests based on -divergences for bivariate symmetry, Metrika 53 (2001) 15–29. M.L. Menéndez, J.A. Pardo, L. Pardo, M.C. Pardo, Asymptotic approximations for the distributions of the (h,)-divergence goodness of fit statistics: applications to Renyi’s statistics, Kybernetes 26 (4) (1997) 442–452. M.L. Menéndez, J.A. Pardo, L. Pardo, K. Zografos, On tests of symmetry, marginal homogeneity and quasi-symmetry in two-way contingency tables based on minimum -divergence estimators with constraints, J. Statist. Comput. Simulation 75 (7) (2005) 555–580. L. Pardo, Statistical Inference Based on Divergence Measures, Statistics: Textbooks and Monographs, Chapman & Hall/CRC, NewYork, 2006. P.J. Smith, D.S. Rae, R.W. Manderscheid, S. Silberger, Approximating the moments and distribution of the Likelihood ratio statistic for multinomial goodness of fit, J. Amer. Statist. Assoc. 76 (1981) 737–740. S. Tomizawa, Two kinds of measures of departure from symmetry in square contingency tables having nominal categories, Statist. Sinica 4 (1994) 325–334. S. Tomizawa, T. Seo, H. Yamamoto, Power-divergence -type measure of departure from symmetry for square contingency tables that have nominal categories, J. Appl. Statist. 25 (3) (1998) 387–398. | |
| 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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