Simulation study of the tests of uniform association based on the power-divergence
| dc.contributor.author | Mayoral Peñas, María Milagros | |
| dc.contributor.author | Pardo Llorente, Julio Ángel | |
| dc.date.accessioned | 2023-06-20T09:42:28Z | |
| dc.date.available | 2023-06-20T09:42:28Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | In this paper, a simulation study is presented to analyze the behavior of the family of test statistics proposed by Conde and Salicru [J. Conde, M. Salicru, Uniform association in contingency tables associated to Csiszar divergence, Statistics and Probability Letters, 37 (1998) 149-154] using the phi-divergence measures, that include as special case the power-divergence [N. Cressie, T.R.C. Read, Multinomial goodness-of-fit tests, Journal of the Royal Statistic Society, Series B, 46 (1984) 440-464] for the analysis of uniform association between two classification processes, based on the local odd ratios. For the above test statistics the significance level and its power are evaluated for different sample sizes when we consider a 3 x 2 contingency table. | |
| 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/17341 | |
| dc.identifier.doi | 10.1016/j.ins.2007.04.009 | |
| dc.identifier.issn | 0020-0255 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0020025507002058 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50221 | |
| dc.issue.number | 22 | |
| dc.journal.title | Information Sciences | |
| dc.language.iso | eng | |
| dc.page.final | 5032 | |
| dc.page.initial | 5024 | |
| dc.publisher | Elsevier Science Inc | |
| dc.relation.projectID | MTM2006-06872 | |
| dc.relation.projectID | UCM2006-910707 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.237 | |
| dc.subject.keyword | Power-divergence | |
| dc.subject.keyword | Uniform association | |
| dc.subject.keyword | Local odd ratio | |
| dc.subject.keyword | Contingency table | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | Simulation study of the tests of uniform association based on the power-divergence | |
| dc.type | journal article | |
| dc.volume.number | 177 | |
| dcterms.references | F. Bartolucci, A. Forcina, Extended RC association models allowing for order restrictions and marginal modeling, Journal of the American Statistical Association 97 (2002) 1192–1199. F. Bartolucci, L. Scaccia, Testing for positive association in contingency tables with fixed margins, Computational Statistics and Data Analysis 47 (2004) 195–210. J. Conde, M. Salicrú , Uniform association in contingency tables associated to Csisza´r divergence, Statistics and Probability Letters 37 (1998) 149–154. N. Cressie, T.R.C. Read, Multinomial goodness-of-fit tests, Journal of the Royal Statistic Society, Series B 46 (1984) 440–464. N. Cressie, L. Pardo, M.C. Pardo, Size and power considerations for testing loglinear models using f-divergence test statistics, Statistica Sinica 13 (2003) 550–570. J.R. Dale, Asymptotic normality of goodness-of-fit statistics for sparse product multinomial, Journal of the Royal Statistics Society, Series B 41 (1986) 48–59. L.A. Goodman, Association models and canonical correlation in the analysis of cross-classifications having ordered categories, Journal of the American Statistical Association 76 (1981) 320–334. D.R. Jensen, H. Solomon, A Gaussian approximation to the distribution of a definite quadratic form, Journal of the American Statistical Association 67 (340) (1972) 898–902. N.L. Johnson, S. Kotz, Tables of distributions of positive definite quadratic forms in central normal variables, Sankhya, Series B 30 (1968) 303–314. D. Kuonen, Saddpoint approximations for distributions of quadratic forms in normal variables, Biometrika 86 (1999 929–935. M.L. Menéndez, J.A. Pardo, L. Pardo, Rao’s statistic for the analysis of uniform association in cross-classifications, Communications in Statistics: Theory and Methods 30 (12) (2001) 2655–2681. R. Modarres, R.W. Jernigan, Testing the equality of correlation matrices, Communications in Statistics (Theory and Methods) 21 (8)(1992) 2107–2125. L. Pardo, Statistical Inference Based on Divergence Measures, Chapman & Hall, 2006. J.N.K. Rao, A.J. Scott, The analysis of categorical data from complex data surveys: chi-squared tests for goodness-of-fit and independence in two-way table, Journal of the American Statistical Association 76 (1981) 221–230. T.C.R. Read, N. Cressie, Goodness of Fit Statistics for Discrete Multivariate Data, Springer, New York, 1988. M. Salicrú , S. Vives, J. Ocaña, Testing the homogeneity of diversity measures: a general framework, Journal of Statistical Planning and Inference 132 (2005) 117–129. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 4ab0fa03-14ad-4828-a784-f0b83e22e3d4 | |
| relation.isAuthorOfPublication | 5e051d08-2974-4236-9c25-5e14369a7b61 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5e051d08-2974-4236-9c25-5e14369a7b61 |
Download
Original bundle
1 - 1 of 1