Goodman-Kruskal γ measure of dependence for fuzzy ordered categorical data

Computational Statistics and Data Analysis

Volumn 51, Issue 1, 2006, Pages 323-334

  Hryniewicz, Olgierd ^a  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

Fuzzy data; Goodman Kruskal ; Statistical dependence

Indexed keywords

DATA REDUCTION; FUZZY SETS; PROBABILITY DISTRIBUTIONS;

CATEGORICAL VARIABLES; FUZZY VERSION; GOODMAN-KRUSKAL;

STATISTICAL METHODS;

EID: 33750310790     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.04.014     Document Type: Article

References (10)

1. Dubois D., and Prade H. Ranking fuzzy numbers in the setting of possibility theory. Inform. Sci. 30 (1983) 184-244
2. Goodman L.A., and Kruskal W.H. Measures of association for cross classifications. J. Amer. Statist. Assoc. 49 (1954) 732-764
3. Goodman L.A., and Kruskal W.H. Measures of association for cross classifications, III: approximate sampling theory. J. Amer. Statist. Assoc. 58 (1963) 310-364
4. Goodman L.A., and Kruskal W.H. Measures of association for cross classifications, IV: simplification of asymptotic variances. J. Amer. Statist. Assoc. 67 (1972) 414-421
5. Grzegorzewski P. Testing statistical hypotheses with vague data. Fuzzy Sets and Systems 112 (2000) 501-510
6. Hryniewicz, O., 2004a. Selection of variables for systems analysis-application of a fuzzy statistical test for independence. Proceedings of IPMU'2004, Perugia, vol. 3, pp. 2197-2204.
7. Hryniewicz, O. 2004b. Goodman-Kruskal gamma measure of dependence for fuzzy ordered categorical data. Research Report of the Systems Research Institute, RB/10/2004. Available from the author's web page: 〈www.ibspan.waw.pl/∼hryniewi〉.
8. Kruse R., and Meyer K.D. Statistics with Vague Data (1987), Riedel, Dodrecht
9. Loughin T.M., and Scherer P.N. Testing for association in contingency tables with multiple column responses. Biometrics 54 (1998) 630-637
10. Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28