Nonparametric Tests Applicable to High Dimensional Data

  • Frantisek Rublik Institute of Measurement Science, Slovak Academy of Sciences

Abstract

Constructions of data driven ordering of set of multivariate observations are presented. The methods employ also dissimilarity measures.
The ranks are used in the construction of test statistics for location problem and in the construction of the corresponding multiple comparisons rule. An important aspect of the resulting procedures is that they can be used also in the multisample setting and in situations where the sample size is smaller than the dimension of the observations. The performance of the proposed procedures is illustrated by simulations.

Author Biography

Frantisek Rublik, Institute of Measurement Science, Slovak Academy of Sciences
Department of Theoretical Methods, scientific reserarch worker
Published
2019-07-01
How to Cite
Rublik, F. (2019). Nonparametric Tests Applicable to High Dimensional Data. Austrian Journal of Statistics, 48(4), 14-42. https://doi.org/10.17713/ajs.v48i4.654