A distribution-free multivariate sign test based on interdirections

Journal of the American Statistical Association

Volumn 84, Issue 408, 1989, Pages 1045-1050

  Randles, Ronald H ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

Location test; One sample multivariate location

Indexed keywords

EID: 53549112637     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1989.10478870     Document Type: Article

References (21)

1. Bennett, B. M. (1962), “On Multivariate Sign Tests,” Journal of the Royal Statistical Society, Ser. B, 24, 159–161.
2. 2,” The Annals of Mathematical Statistics, 36, 160–173.
3. Blumen, I. (1958), “A New Bivariate Sign Test,” Journal of the American Statistical Association, 53, 448–456.
4. Brown B. M., and Hettmansperger, T. P. (in press), “An Affine Invariant Bivariate Version of the Sign Test,” Journal of the Royal Statistical Society, 51.
5. Chatterjee, S. K. (1966), “A Bivariate Sign Test for Location,” The Annals of Mathematical Statistics, 37, 1771–1782.
6. Dietz, E. J. (1982), “Bivariate Nonparametric Tests for the One-Sample Location Problem,” Journal of the American Statistical Association, 77, 163–169.
7. —— (1984), “Linear Signed Rank Tests for Multivariate Location,” Communications in Statistics, 13, 1435–1451.
8. Hájek, J., and Šidák, Z. (1967), Theory of Rank Tests, New York: Academic Press.
9. Hettmansperger, T. P. (1984), Statistical Inference Based on Ranks, New York: John Wiley.
10. Hodges, J. L., Jr. (1955), “A Bivariate Sign Test,” The Annals of Mathematical Statistics, 26, 523–527.
11. Joffe, A., and Klotz, J. (1962), “Null Distribution and Bahadur Efficiency of the Hodges Bivariate Sign Test,” The Annals of Mathematical Statistics, 33, 803–807.
12. Killeen, T. J., and Hettmansperger, T. P. (1972), “Bivariate Tests for Location and Their Bahadur Efficiencies,” The Annals of Mathematical Statistics, 43, 1507–1516.
13. Klotz, J. (1964), “Small Sample Power of the Bivariate Sign Tests of Blumen and Hodges,” The Annals of Mathematical Statistics, 35,1576–1582.
14. Liu R. Y. (in press), “On a Notion of Data Depth Based on Random Simplices,” The Annals of Mathematical Statistics, 17.
15. Merchant, J. A., Halprin, G. M., Hudson, A. R., Kilburn, K. H., McKenzie, W. N., Jr., Hurst, D. J., and Bermazohn, P. (1975), “Responses to Cotton Dust,” Archives of Environmental Health, 30, 222–229.
16. Oja, H. (1983), “Descriptive Statistics for Multivariate Distributions,” Statistics and Probability Letters, 1, 327–333.
17. Oja, H., and Nyblom, J. (1989), “Bivariate Sign Tests,” Journal of the American Statistical Association, 84, 249–259.
18. Peters, D. (1988), “Rank Tests for the One- and Two-Sample Bivariate Location Problems,” unpublished Ph.D. dissertation, University of Florida, Dept. of Statistics.
19. Puri, M. L., and Sen, P. K. (1971), Nonparametric Methods in Multivariate Analysis, New York: John Wiley.
20. Sen, P. K., and Puri, M. L. (1967), “On the Theory of Rank Order Tests for Location in the Multivariate One Sample Problem,” The Annals of Mathematical Statistics, 38, 1216–1228.
21. Watson, G. S. (1983), Statistics of Spheres, New York: Wiley-Interscience.