Constructing confidence intervals for Spearman's rank correlation with ordinal data: A simulation study comparing analytic and bootstrap methods

Journal of Modern Applied Statistical Methods

Volumn 7, Issue 2, 2008, Pages 416-434

  Ruscio, John ^a  

^a Department of Health and Exercise Science   (United States)

Author keywords

Bootstrap; Confidence intervals; Spearman's rank correlation

Indexed keywords

EID: 82055201279     PISSN: 15389472     EISSN: None     Source Type: Journal    
DOI: 10.22237/jmasm/1225512360     Document Type: Article

References (23)

1. th ed.). Washington, DC: Author.
2. Bonnett, D. G., & Wright, T. A. (2000). Sample size requirements for estimating Pearson, Kendall, and Spearman correlations. Psychometrika, 65, 23-28.
3. Caruso, J. C., & Cliff, N. (1997). Empirical size, coverage, and power of confidence intervals for Spearman's rho. Educational and Psychological Measurement, 57, 637-654.
4. Chan, W., & Chan, D. W. L. (2004). Bootstrap standard error and confidence intervals for the correlation corrected for range restriction: A simulation study. Psychological Methods, 9, 369-385.
5. Cliff, N. (1996). Ordinal methods for behavioral data analysis. Mahwah, NJ: Lawrence Erlbaum Associates.
6. DiCiccio, T. J., & Efron, B. (1996). Bootstrap confidence intervals. Statistical Science, 11, 189-228.
7. Edgington, E. S. (1987). Randomization tests. New York: Marcel Dekker.
8. Efron, B., & Tibshirani, R. J. (1993). An introduction to the bootstrap. Boca Raton, FL: CRC Press.
9. Fieller, E. C., Hartley, H. O., & Pearson, E. S. (1957). Tests for rank correlation coefficients: I. Biometrika, 44, 470-481.
10. Gonzalez, R., & Nelson, T. O. (1996). Measuring ordinal association in situations that contain tied scores. Psychological Bulletin, 119, 159-165.
11. Higgins, J. J. (2004). An introduction to modern nonparametric statistics. Pacific Grove, CA: Brooks/Cole.
12. Kline, R. B. (2005). Beyond significance testing: Reforming data analysis methods in behavioral research. Washington, DC: American Psychological Association.
13. Kraemer, H. C., Kazdin, A. E., Offord, D. R., Kessler, R. C., Jensen, P. S., & Kupfer, D. J. (1999). Measuring the potency of risk factors for clinical or policy significance. Psychological Methods, 4, 257-271.
14. Lee, W.-C., & Rodgers, J. L. (1998). Bootstrapping correlation coefficients using univariate and bivariate sampling. Psychological Methods, 3, 91-103.
15. Ruscio, J., & Kaczetow, W. (2008). Simulating multivariate nonnormal data using an iterative approach. Multivariate Behavioral Research, 43, 355-381.
16. Spearman, C. S. (1904). The proof and measurement of association between two things. American Journal of Psychology, 15, 72-101.
17. Ruscio, J., Ruscio, A. M., & Meron, M. (2007). Applying the bootstrap to taxometric analysis: Generating empirical sampling distributions to help interpret results. Multivariate Behavioral Research, 44, 349-386.
18. Stevens, S. S. (1946, June 7). On the theory of scales of measurement. Science, 103, 677-680.
19. Wilcox, R. R. (2003). Applying contemporary statistical techniques. San Diego, CA: Academic Press.
20. Wilkinson, L., and the APA Task Force on Statistical Inference (1999). Statistical methods in psychology journals: Guidelines and explanations. American Psychologist, 54, 594-604.
21. Woods, C. M. (2007). Confidence intervals for gamma-family measures of ordinal association. Psychological Methods, 12, 185-204.
22. Woods, C. M. (2008). Correction to Woods (2007). Psychological Methods, 13, 72-73.
23. Zar, J. H. (1972). Significance testing of the Spearman rank correlation coefficient. Journal of the American Statistical Association, 67, 578.