Simulation study of the tests of uniform association based on the power-divergence

Information Sciences

Volumn 177, Issue 22, 2007, Pages 5024-5032

  Mayoral, M M ^a   Pardo, J A ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Contingency table; Local odd ratio; Power divergence; Uniform association

Indexed keywords

COMPUTER SIMULATION; PROBABILITY; STATISTICAL TESTS;

CONTINGENCY TABLES; LOCAL ODD RATIOS; POWER DIVERGENCE; UNIFORM ASSOCIATION;

ASSOCIATION RULES;

EID: 34548294149     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.04.009     Document Type: Article

References (21)

1. Bartolucci F., and Forcina A. Extended RC association models allowing for order restrictions and marginal modeling. Journal of the American Statistical Association 97 (2002) 1192-1199
2. Bartolucci F., and Scaccia L. Testing for positive association in contingency tables with fixed margins. Computational Statistics and Data Analysis 47 (2004) 195-210
3. Conde J., and Salicrú M. Uniform association in contingency tables associated to Csiszár divergence. Statistics and Probability Letters 37 (1998) 149-154
4. Cressie N., and Read T.R.C. Multinomial goodness-of-fit tests. Journal of the Royal Statistic Society, Series B 46 (1984) 440-464
5. Cressie N., Pardo L., and Pardo M.C. Size and power considerations for testing loglinear models using f-divergence test statistics. Statistica Sinica 13 (2003) 550-570
6. Dale J.R. Asymptotic normality of goodness-of-fit statistics for sparse product multinomial. Journal of the Royal Statistics Society, Series B 41 (1986) 48-59
7. Goodman L.A. Association models and canonical correlation in the analysis of cross-classifications having ordered categories. Journal of the American Statistical Association 76 (1981) 320-334
8. Jensen D.R., and Solomon H. A Gaussian approximation to the distribution of a definite quadratic form. Journal of the American Statistical Association 67 340 (1972) 898-902
9. Johnson N.L., and Kotz S. Tables of distributions of positive definite quadratic forms in central normal variables. Sankhya, Series B 30 (1968) 303-314
10. Kuonen D. Saddpoint approximations for distributions of quadratic forms in normal variables. Biometrika 86 (1999) 929-935
11. Menéndez M.L., Pardo J.A., and Pardo L. Rao's statistic for the analysis of uniform association in cross-classifications. Communications in Statistics: Theory and Methods 30 12 (2001) 2655-2681
12. Modarres R., and Jernigan R.W. Testing the equality of correlation matrices. Communications in Statistics (Theory and Methods) 21 8 (1992) 2107-2125
13. Pardo L. Statistical Inference Based on Divergence Measures (2006), Chapman & Hall
14. Rao J.N.K., and Scott A.J. 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
15. Read T.C.R., and Cressie N. Goodness of Fit Statistics for Discrete Multivariate Data (1988), Springer, New York
16. Salicrú M., Vives S., and Ocaña J. Testing the homogeneity of diversity measures: a general framework. Journal of Statistical Planning and Inference 132 (2005) 117-129
17. Tomizawa S. Shannon entropy type measure of departure from uniform association in cross-classifications having ordered categories. Statistics and Probability Letters 11 (1991) 547-550
18. Tomizawa S., and Hashimoto T. Power-divergence type measure of departure from uniform association for cross-classifications having ordered categories. Advances and Applications in Statistics 2 3 (2002) 233-248
19. Tomizawa S., Miyamoto N., and Funato R. Conditional difference asymmetry model for square contingency tables with nominal categories. Journal of Applied Statistics 31 3 (2004) 271-277
20. Tomizawa S., Miyamoto N., and Hatanaka Y. Measure of asymmetry for square contingency tables having ordered categories. Australian and New Zealand Journal of Statistics 43 (2001) 335-349
21. Tomizawa S., Miyamoto N., and Yamane S. Power-divergence type measure of departure from diagonals-parameter symmetry for square contingency tables with ordered categories. Statistics 39 2 (2005) 107-115