Testing noisy numerical data for monotonic association

Information Sciences

Volumn 245, Issue , 2013, Pages 21-37

  Bodenhofer, Ulrich ^a   Krone, Martin ^b   Klawonn, Frank ^b,c  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b OSTFALIA UNIVERSITY OF APPLIED SCIENCES   (Germany)

^c HELMHOLTZ CENTRE FOR INFECTION RESEARCH   (Germany)

Author keywords

Fuzzy ordering; Gamma correlation coefficient; R package rococo; Rank correlation; Rank correlation test; Robust statistics

Indexed keywords

CORRELATION COEFFICIENT; FUZZY ORDERING; R PACKAGE ROCOCO; RANK CORRELATION; ROBUST STATISTICS;

FUZZY LOGIC;

TESTING;

EID: 84880265979     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2012.11.026     Document Type: Article

References (37)

1. H. Abdi Coefficients of correlation, alienation and determination N.J. Salkind, Encyclopedia of Measurement and Statistics 2007 Sage Thousand Oaks, CA
2. H. Abdi The Kendall rank correlation coefficient N.J. Salkind, Encyclopedia of Measurement and Statistics 2007 Sage Thousand Oaks, CA
3. U. Bodenhofer A similarity-based generalization of fuzzy orderings preserving the classical axioms International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 8 2000 593 610
4. U. Bodenhofer, and M. Demirci Strict fuzzy orderings with a given context of similarity International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16 2008 147 178
5. U. Bodenhofer, F. Klawonn, Towards robust rank correlation measures for numerical observations on the basis of fuzzy orderings, in: M. Štěpnička, V. Novák, U. Bodenhofer (Eds.), Proc. 5th Conference of the European Society for Fuzzy Logic and Technology, vol. I, Ostrava, 2007, pp. 321-327.
6. U. Bodenhofer, and F. Klawonn Robust rank correlation coefficients on the basis of fuzzy orderings: initial steps Mathware & Soft Computing 15 2008 5 20
7. U. Bodenhofer, M. Krone, RoCoCo: An R Package Implementing a Robust Rank Correlation Coefficient and a Corresponding Test, 2011. < http://www.bioinf.jku.at/software/rococo/ >.
8. K. Boudt, J. Cornelissen, and C. Croux The Gaussian rank correlation estimator: robustness properties Statistics and Computing 22 2012 471 483
9. A.W. Bowman, M.C. Jones, and I. Gijbels Testing monotonocity of regression Journal of Computational and Graphical Statistics 7 1998 489 500
10. J.J. Buckley Fuzzy statistics: hypothesis testing Soft Computing 9 2005 512 518
11. R. Coppi, M.A. Gil, and H.A.L. Kiers The fuzzy approach to statistical analysis Computational Statistics & Data Analysis 51 2006 1 14
12. P. Davies, and U. Gather Breakdown and groups (with discussion) The Annals of Statistics 33 2005 977 1035
13. N. de Klerk Commentary: Spearman's 'The proof and measurement of association between two things' International Journal of Epidemiology 39 2010 1159 1161
14. C. Elzinga, H. Wang, Z. Lin, and Y. Kumar Concordance and consensus Information Sciences 181 2011 2529 2549
15. T. Fawcett An introduction to ROC analysis Pattern Recognition Letters 27 2006 861 874
16. P. Filzmoser, and R. Viertl Testing hypotheses with fuzzy data: the fuzzy p-value Metrika 59 2004 21 29
17. C.J. Geyer, and G.D. Meeden Fuzzy and randomized confidence intervals and p-values Statistical Science 20 2005 358 366
18. S. Ghosal, A. Sen, and A.W. van der Vaart Testing monotonocity of regression Annals of Statistics 28 2000 1054 1082
19. L.A. Goodman, and W.H. Kruskal Measures of association for cross classifications Journal of the American Statistical AssocIation 49 1954 732 764
20. P. Hall, and N.E. Heckman Testing for monotonocity of a regression mean by calibrating linear functions Annals of Statistics 28 2000 20 39
21. D.C. Hoaglin, F. Mosteller, and J.W. Tukey Understanding Robust and Exploratory Data Analysis 2000 John Wiley & Sons New York
22. M.Z. Huang, H.B. Li, X.M. Nie, C.M. Jiang, H. Ming, D.Q. Li, and X.Y. Wu Analysis of the dose-response relationship between high-risk human papillomavirus viral load and cervical lesions ransactions of the Royal Society of Tropical Medicine and Hygiene 103 2009 779 784
23. P.J. Huber, and E.M. Ronchetti Robust Statistics, Wiley Series in Probability and Statistics second ed. 2009 John Wiley & Sons New York
24. G. Imre, D.S. Fokkema, J.A. Den Boer, and G.J. Ter Horst Dose-response characteristics of ketamine effect on locomotion, cognitive function and central neuronal activity Brain Research Bulletin 69 2006 338 345
25. M.G. Kendall A new measure of rank correlation Biometrika 30 1938 81 93
26. M.G. Kendall Rank Correlation Methods third ed. 1962 Charles Griffin &Co London
27. E.P. Klement, R. Mesiar, and E. Pap Triangular Norms, Trends in Logic vol. 8 2000 Kluwer Academic Publishers Dordrecht
28. H.W. Koh, and E. Hüllermeier Mining gradual dependencies based on fuzzy rank correlation C. Borgelt, W. Trutschnig, G. Gonzalez-Rodriguez, M.A. Lubiano, M.A. Gil, P. Grzegorzewski, O. Hryniewicz, Combining Soft Computing and Statistical Methods in Data Analysis, Advances in Intelligent and Soft Computing, vol. 77 2010 Springer Dordrecht 379 386
29. W.H. Kruskal Ordinal measures of association Journal of the American Statistical Association 53 1958 814 861
30. R.A. Maronna, D.R. Martin, and V.J. Yohai Robust Statistics: Theory and Methods, Wiley Series in Probability and Statistics 2006 John Wiley & Sons Toronto, ON
31. M. Montenegro, M.R. Casals, M.A. Lubiano, and M.A. Gil Two-sample hypothesis tests of means of a fuzzy random variable Information Sciences 133 2001 89 100
32. K. Pearson Notes on the history of correlation Biometrika 13 1920 25 45
33. M.D. Ruiz, and E. Hüllermeier A formal and empirical analysis of the fuzzy gamma rank correlation coefficient Information Sciences 206 2012 1 17
34. C. Spearman The proof and measurement of association between two things The American Journal of Psychology 15 1904 72 101
35. C. Spearman Demonstration of formulae for true measurement of correlation The American Journal of Psychology 18 1907 161 169
36. D. Steinhauser, B.H. Junker, A. Luedemann, J. Selbig, and J. Kopka Hypothesis-driven approach to predict transcriptional units from gene expression data Bioinformatics 20 2004 1928 1939
37. E.A. Thompson, and C.J. Geyer Fuzzy p-values in latent variable problems Biometrika 94 2007 49 60