A simple permutation-type method for testing circular uniformity with correlated angular measurements

Biometrics

Volumn 55, Issue 3, 1999, Pages 782-791

  Follmann, Dean A ^a   Proschan, Michael A ^a  

^a NATIONAL HEART LUNG AND BLOOD INSTITUTE   (United States)

Author keywords

Ancillary; Conditionality principle; Directional data; Kuiper test; Rayleigh test

Indexed keywords

STATISTICAL TESTS;

ANCILLARY; CONDITIONALITY PRINCIPLE; DIRECTIONAL DATA; KUIPE TEST; NULL HYPOTHESIS; RAYLEIGH; RAYLEIGH TEST; SIMPLE METHOD; SIMPLE++; TYPE METHODS;

ANGLE MEASUREMENT;

ARTICLE; DATA ANALYSIS; MEASUREMENT; SIMULATION; STATISTICAL ANALYSIS;

EID: 0032887210     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.1999.00782.x     Document Type: Article

References (15)

1. Albert, P. (1991). A two-state markov model for a time series of epileptic seizure counts. Biometrics 47, 1371-1381.
2. Balish, M., Albert, P., and Theodore, W. (1991). Seizure frequency in intractable partial epilepsy: A statistical analysis. Epilepsia 32, 642-649.
3. Cox, D. R. and Hinkley, D. V. (1974). Theoretical Statistics. London: Chapman and Hall.
4. Fisher, N. I. (1993). Statistical Analysis of Circular Data. Cambridge, U.K.: Cambridge University Press.
5. Fisher, N. I. and Lewis, A. J. (1983). Estimating the common mean direction of several circular or spherical distributions with differing dispersions. Biometrika 70, 333-341.
6. Jones, R. H., Ford, P. M., and Hamman, R. F. (1988). Seasonality comparisons among groups using incidence data. Biometrics 44, 1131-1144.
7. Kuiper, N. H. (1960). Tests concerning random points on a circle. Koninkliike Nederlandse Akademie Van Wetenschappen, Proceedings Series A LXIII, 38-47.
8. Lehmann, E. L. (1986). Testing Statistical Hypotheses, 2nd edition. New York: Wiley.
9. Mardia, K. V. (1972). Statistics of Directional Data. New York: Academic Press.
10. Mardia, K. V. (1975). Statistics of directional data (with discussion). Journal of the Royal Statistical Society, Series B 37, 349-393.
11. Mulcahy, D., Dakak, N., Zalos, G., Andrews, N., Proschan, M., Waclawiw, M., Schenke, B., and Quyyumi, A. (1996). Patterns and behavior of transient myocardial ischemia in stable coronary disease are the same in both sexes: A comparitive study. Journal of the American College of Cardiology 27, 1629-1636.
12. Rayleigh, L. (1919). On the problem of random vibrations and of random flights in one, two, or three dimensions. Phil. Mag. 37, 321-347.
13. Schmidt-Koenig, K. (1963). On the role of the loft, the distance and site of release in pigeon homing (the "cross-loft experiment"). Biological Bulletin 125, 154-164.
14. Turner, E. H., Leibenluft, E., Albert, P. S., Wehr, T. A., and Rosenthal, N. E. (1995). Effect of season and light treatment upon hot flashes in a perimenopausal SAD patient. Chronobiology International 12, 290-298.
15. Upton, G. J. G. and Fingleton, B. (1989). Spatial Data Analysis by Example, Volume 2, Categorical and Directional Data. New York: Wiley.