A comparison of a new family of goodness-of-fit statistics
| dc.contributor.author | Pardo Llorente, María del Carmen | |
| dc.contributor.author | Pardo Llorente, Julio Ángel | |
| dc.date.accessioned | 2023-06-20T17:09:28Z | |
| dc.date.available | 2023-06-20T17:09:28Z | |
| dc.date.issued | 1996-11 | |
| dc.description | This research was supported in part by DGICYT Grant PB93-0022 and PB94-0308. Their financial support is acknowledged. | |
| dc.description.abstract | We carry out a study of the family of Q(Ps) statistics introduced by Lorenzen [1] for testing goodness-of-fit. The exact powers based on exact critical regions are calculated for each statistic against different alternatives. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/18045 | |
| dc.identifier.doi | 10.1016/S0020-0255(96)00138-7 | |
| dc.identifier.issn | 0020-0255 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0020025596001387 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57861 | |
| dc.issue.number | 1-2 | |
| dc.journal.title | Information Sciences | |
| dc.language.iso | eng | |
| dc.page.final | 70 | |
| dc.page.initial | 59 | |
| dc.publisher | Elsevier Science Inc | |
| dc.relation.projectID | PB93-0022 | |
| dc.relation.projectID | PB94-0308 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.22 | |
| dc.subject.keyword | Testing goodness-of-fit | |
| dc.subject.keyword | Critical regions | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | A comparison of a new family of goodness-of-fit statistics | |
| dc.type | journal article | |
| dc.volume.number | 95 | |
| dcterms.references | G. Lorenzen, A new family of goodness-of-fit statistics for discrete multivariate data. Statistics and Probability Lett., 25 (1995), pp. 301–307 K. Pearson, On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be to have arisen from random sampling. Philos. Mag. Ser. 5, 50 (1900), pp. 157–172 J. Neyman, E. S. Pearson, On the use and interpretation of certain test criteria of statistical inference,Part II. Biometrika, 20A (1928), pp. 263–294 N.Cressie,T.R.C. Read,Multinomial goodness of fit tests, J. Roy. Statist. Soc. B, 46 (1984), pp. 440–464 T. R. C. Read, Small sample comparisons for the power divergences goodness-of-fit statistics. J. Amer. Statist. Assoc., 79 (1984), pp. 929–935 B. Hosmane, An empirical investigation of chi-square tests for the hypothesis of no three-factor interaction in I × J ×K contingency tables.J.Statist.Computation and Simulation, 28 (1987), pp. 167–178 T.R.C. Read, N.A.C. Cressie, Goodness-of-Fit Statistics for Discrete Multivariate Data (1988) New York M.C. Pardo, An empirical investigation of Cressie and Read tests for the hypothesis of independence in three-way contingency tables. Kybernetika, 32 (2) (1996), pp. 175–183 G. Lorenzen, A reformulation of Pearson's chi-square statistic and some extensions. Statistics and Probability Lett., 14 (1992), pp. 327–331 K. B. Stolarsky, Generalizations of the logarithmic mean. Mathematics Mag., 48 (1975), pp. 87–92 K.B. Stolarsky, The power and generalized logarithmic means. Amer. Math. Monthly, 87 (1980), pp. 545–548 H.B. Mann, A. Wald, On the choice of the number of class intervals in the application of the chi-square test. Ann. Math. Statist., 13 (1942), pp. 306–317 B. Schorr, On the choice of class intervals for the chi-squared test of goodness of fit. Zeitschrift fuer Angewandte Mathematik und Mechanik Ingenieurwissenschaftliche Forschunggarbeiten, 54 (1974), pp. 249–251 B. K. Sinha, On unbiasedness of Mann - Wald - Gumbel c test. Sankhya, Ser. A, 38 (1976), pp. 124–130 C. Spruill, Equally likely intervals in the chi-squared test. Sankhya, Ser. A, 39 (1977), pp. 299–302 L.G. Gvanceladze, D.M. Chivisov, On tests of fit based on grouped data. J. Jureckov (Ed.), Contributions to Statistics, J. Hjek Memorial Volume, Academy, Prague (1979), pp. 79–89 E.N. West, O. Kempthorne, A comparison of the c and likelihood ratio tests for composite alternatives. J. Statist. Computation and Simulation, 1 (1972), pp. 1–33 M.C. Pardo, M.D. Esteban, D. Morales, J.A. Pardo, An analitic study of the asymptotic difference between different hypoentropy statistics. Statistica, LIV (1) (1994), pp. 61–75 C. Ferreri, Hypoentropy and related heterogeneity, divergence and information measures. Statistica, XL (2) (1980), pp. 155–167 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5e051d08-2974-4236-9c25-5e14369a7b61 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5e051d08-2974-4236-9c25-5e14369a7b61 |
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