A permutation alternative for Hotelling's multivariate matched-pair T2 test is introduced. The permutation test allows for analyses when the number of subjects is less than or equal to the number of measurements, which is not possible with Hotelling's multivariate matched-pair T2 test. For the data analyzed the permutation test is shown to provide improved discrimination over Hotelling's multivariate matched-pair T2 test.
Get full access to this article
View all access options for this article.
References
1.
AndersonT. W. (1958) An introduction to multivariate statistical analysis.New York: Wiley.
2.
BerryK. J., & MielkeP. W. (1992) A family of multivariate measures of association for nominal independent variables. Educational and Psychological Measurement, 52, 41–55.
3.
HotellingH. (1931) The generalization of Student's ratio. Annals of Mathematical Statistics, 2, 360–378.
4.
MielkeP. W. (1984) Meteorological applications of permutation techniques based on distance functions. In KrishnaiahP. R. & SenP. K. (Eds.), Handbook of statistics.Vol. 4: Nonparametric methods. Amsterdam: Elsevier North-Holland. Pp. 813–830.
5.
MielkeP. W. (1991) The application of multivariate permutation methods based on distance functions in the earth sciences. Earth-Science Reviews, 31, 55–71.
6.
MielkeP. W., & BerryK. J. (1982) An extended class of permutation techniques for matched pairs. Communications in Statistics-Theory and Methods, 11, 1197–1207.
