Tetrachoric correlation: A permutation alternative

Educational and Psychological Measurement

Volumn 69, Issue 3, 2009, Pages 429-437

  Long, Michael A ^a   Berry, Kenneth J ^a   Mielke Jr , Paul W ^a  

^a Veterinary Dentistry and Oral Surgery   (United States)

Author keywords

Dichotomous variables; Permutation; Small sample; Tetrachoric correlation coefficient

Indexed keywords

EID: 65649115504     PISSN: 00131644     EISSN: 15523888     Source Type: Journal    
DOI: 10.1177/0013164408324463     Document Type: Article

References (21)

1. Berry, K.J., & Mielke, P.W. (2000). A Monte Carlo investigation of the Fisher z transformation for normal and nonnormal distributions. Psychological Reports, 87, 1101-1114.
2. Bonett, D.G., & Price, R.M. (2005). Inferential methods for the tetrachoric correlation coefficient. Journal of Educational and Behavioral Statistics, 30, 213-225. (Pubitemid 40882651)
3. Brown, M.B. (1977). Algorithm AS 116: The tetrachoric correlation and its asymptotic standard error. Applied Statistics, 26, 343-351.
4. Castellan, N.J., Jr. (1966). On the estimation of the tetrachoric correlation coefficient. Psychometrika, 31, 67-73.
5. Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20, 37-46.
6. Eden, T., & Yates, F. (1933). On the validity of Fisher's z test when applied to an actual example of non-normal data. Journal of Agricultural Statistics, 33, 6-17.
7. Everitt, P.F. (1910). Tables of the tetrachoric functions for fourfold correlation tables. Biometrika, 7, 437-451.
8. Fisher, R.A. (1925). Statistical methods for research workers. Edinburgh: Oliver and Boyd.
9. Fleiss, J.L. (1981). Statistical methods for rates and proportions (2 nd ed.). New York: John Wiley.
10. Geary, R.C. (1927). Some properties of correlation and regression in a limited universe. Metron Rivista Internazionale de Statistica, 7, 83-119.
11. Greer, T., Dunlap, W.P., & Beatty, G.O. (2003). A Monte Carlo evaluation of the tetrachoric correlation coefficient. Educational and Psychological Measurement, 63, 931-950. (Pubitemid 37514157)
12. Guilford, J.P., & Lyons, T.C. (1942). On determining the reliability and significance of a tetrachoric coefficient of correlation. Psychometrika, 7, 243-249.
13. Hutchinson, T.P. (1993). Kappa muddles together two sources of disagreement: Tetrachoric correlation is preferable. Research in Nursing & Health, 16, 313-315.
14. Kendall, M.G., & Stuart, A. (1961). The advanced theory of statistics (Vol. 2). New York: Hafner.
15. Micceri, T. (1989). The unicorn, the normal curve, and other improbable creatures. Psychological Bulletin, 105, 156-166.
16. Pearson, K. (1900). Mathematical contributions to the theory of evolution. VII. On the correlation of characters not quantitatively measurable. Philosophical Transactions of the Royal Society of London, 195A, 1-47.
17. Pearson, K. (1913). On the probable error of a coefficient of correlation as found from a fourfold table. Biometrika, 9, 22-27.
18. Pitman, E.J.G. (1937 a). Significance tests which may be applied to samples from any populations. Supplement to the Journal of the Royal Statistical Society, 4, 119-130.
19. Pitman, E.J.G. (1937 b). Significance tests which may be applied to samples from any populations, II: The correlation coefficient test. Supplement to the Journal of the Royal Statistical Society, 4, 225-232.
20. Pitman, E.J.G. (1938). Significance tests which may be applied to samples from any populations, III: The analysis of variance test. Biometrika, 29, 322-335.
21. Uebersax, J.S. (2006). The tetrachoric and polychoric correlation coefficients. Retrieved December 20, 2007, from http://ourworld.compuserve.com/ homepages/jsuebersax/tetra.htm