152
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Consistent Small-Sample Variances for Six Gamma-Family Measures of Ordinal Association

Pages 525-551 | Published online: 03 Sep 2009

REFERENCES

  • Agresti , A. 1984 . Analysis of ordinal categorical data New York : Wiley .
  • Agresti , A. 2002 . Categorical data analysis, , 2nd ed. Hoboken, NJ : Wiley .
  • Clark , L. 1996 . SNAP manual for administration, scoring, and interpretation Minneapolis : University of Minnesota Press .
  • Cliff , N. 1996 . Ordinal methods for behavioral data analysis. Mahwah, NJ : Erlbaum .
  • Cliff , N. and Charlin , V. 1991 . Variances and covariances of Kendall's tau and their estimation. . Multivariate Behavioral Research , 26 : 693 – 707 .
  • Costner , H. L. 1965 . Criteria for measures of association. . American Sociological Review , 30 : 341 – 353 .
  • Costner , H. L. 1968 . Reply to Somers. . American Sociological Review , 33 : 292
  • Daniels , H. E. 1944 . The relation between measures of correlation in the universe of sample permutations. . Biometrika , 33 : 129 – 135 .
  • Foa , E. B. , Huppert , J. D. , Leiberg , S. , Langner , R. , Kichic , R. Hajcak , G. 2002 . The Obsessive-Compulsive Inventory: Development and validation of a short version. . Psychological Assessment , 14 : 485 – 496 .
  • Freeman , L. C. 1986 . Order-based statistics and monotonicity: A family of ordinal measures of association. . Journal of Mathematical Sociology , 12 : 49 – 69 .
  • Gonzalez , R. and Nelson , T. O. 1996 . Measuring ordinal association in situations that contain tied scores. . Psychological Bulletin , 119 : 159 – 165 .
  • Goodman , L. A. and Kruskal , W. H. 1954 . Measures of association for cross classifications. . Journal of the American Statistical Association , 49 : 732 – 764 .
  • Goodman , L. A. and Kruskal , W. H. 1972 . Measures of association for cross classifications IV: Simplification of asymptotic variances. . Journal of the American Statistical Association , 67 : 131 – 146 .
  • Haidt , J. , McCauley , C. and Rozin , P. 1994 . Individual differences in sensitivity to disgust: A scale sampling seven domains of disgust elicitors. . Personality and Individual Differences , 16 : 701 – 713 .
  • Kendall , M. G. 1938 . A new measure of rank correlation. . Biometrika , 30 : 81 – 93 .
  • Kendall , M. G. 1945 . The treatment of ties in ranking problems. . Biometrika , 33 : 239 – 251 .
  • Kendall , M. G. and Stuart , A. 1958 . The advanced theory of statistics: Vol. 1. Distribution theory. New York : Hafner .
  • Kim , J. 1971 . Predictive measures of ordinal association. . American Journal of Sociology , 76 : 891 – 907 .
  • Liebetrau , A. M. 1983 . Measures of association (Sage University Paper Series on Quantitative Applications in the Social Sciences, Series No. 07-032) Newbury Park, CA : Sage .
  • Leik , R. K. and Gove , W. R. 1969 . The conception and measurement of asymmetric monotonic relationships in sociology. . American Journal of Sociology , 74 : 696 – 709 .
  • Leik , R. K. and Gove , W. R. 1971 . Integrated approach to measuring association. . Sociological Methodology , 3 : 279 – 301 .
  • Long , J. D. and Cliff , N. 1997 . Confidence intervals for Kendall's tau. . British Journal of Mathematical and Statistical Psychology , 50 : 31 – 41 .
  • Obsessive Compulsive Cognitions Working Group. 2001 . Development and initial validation of the obsessive beliefs questionnaire and the interpretation of intrusions inventory. . Behaviour Research and Therapy , 39 : 987 – 1006 .
  • Oltmanns , T. F. and Turkheimer , E. 2006 . “ Perceptions of self and others regarding pathological personality traits. ” . In Personality and psychopathology: Building bridges Edited by: Krueger , R. F. and Tackett , J. 71 – 111 . New York : Guilford .
  • Quade , D. 1974 . “ Nonparametric partial correlation. ” . In Measurement in the social sciences: Theories and strategies Edited by: Blalock , H. M. 369 – 398 . Chicago : Aldine .
  • Ruscio , J. Constructing confidence intervals for Spearman's rank correlation with ordinal data: A simulation study comparing analytic and bootstrap methods. . Journal of Modern and Applied Statistical Methods , (in press).
  • Somers , R. H. 1962a . A new asymmetric measure of association for ordinal variables. . American Sociological Review , 27 : 799 – 811 .
  • Somers , R. H. 1962b . A similarity between Goodman and Kruskal's tau and Kendall's tau with a partial interpretation of the latter. . Journal of the American Statistical Association , 57 : 804 – 812 .
  • Somers , R. H. 1968 . On the measurement of association. . American Sociological Review , 33 : 291 – 292 .
  • Stuart , A. 1953 . The estimation and comparison of strengths of association in contingency tables. . Biometrika , 40 : 105 – 110 .
  • Takane , Y. , Young , F. W. and de Leeuw , J. 1977 . Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features. . Psychometrika , 42 : 7 – 67 .
  • Tolin , D. F. , Woods , C. M. and Abramowitz , J. S. 2003 . Relationship between obsessional beliefs and obsessive-compulsive symptoms. . Cognitive Therapy and Research , 27 : 657 – 669 .
  • Tolin , D. F. , Woods , C. M. and Abramowitz , J. S. 2006 . Disgust sensitivity and obsessive-compulsive symptoms in a non-clinical sample. . Journal of Behavior Therapy and Experimental Psychiatry , 37 : 30 – 40 .
  • Wilson , T. P. 1969 . A proportional-reduction-in-error interpretation for Kendall's tau-b. . Social Forces , 47 : 340 – 342 .
  • Wilson , T. P. 1971 . A critique of ordinal variables. . Social Forces , 49 : 432 – 444 .
  • Wilson , T. P. 1974 . “ Measures of association for bivariate ordinal hypotheses. ” . In Measurement in the social sciences: Theories and strategies Edited by: Blalock , H. M. 327 – 342 . Chicago : Aldine .
  • Wolter , K. 2007 . Introduction to variance estimation, , 2nd ed. New York : Springer .
  • Woods , C. M. 2007 . Confidence intervals for gamma-family measures of ordinal association. . Psychological Methods , 12 : 185 – 204 .
  • Yule , G. U. 1900 . On the association of attributes in statistics: With illustrations from the material of the childhood society. . Philosophical Transactions of the Royal Society of London, Series A , 194 : 257 – 319 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.