Volume 18, Issue 2, June 2019, Pages 136 - 146
A New Nonparametric Test for Two Sample Multivariate Location Problem with Application to Astronomy
Authors
Soumita Modak, Uttam Bandyopadhyay*
Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata-700019, India
*Corresponding author. Email: ubandyopadhyay08@gmail.com
Corresponding Author
Uttam Bandyopadhyay
Received 12 February 2018, Accepted 25 January 2019, Available Online 18 June 2019.
- DOI
- 10.2991/jsta.d.190515.002How to use a DOI?
- Keywords
- Nonparametric multivariate test; combination of Wilcoxon rank-sum tests; outliers; large sample distribution; astronomical data; compatibility test
- Abstract
This paper provides a nonparametric test for the identity of two multivariate continuous distribution functions when they differ in locations. The test uses Wilcoxon rank-sum statistics on distances between observations for each of the components and is unaffected by outliers. It is numerically compared with two existing procedures in terms of power. The simulation study shows that its power is strictly increasing in the sample sizes and/or in the number of components. The applicability of this test is demonstrated by use of two astronomical data sets on early-type galaxies.
- Copyright
- © 2019 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Soumita Modak AU - Uttam Bandyopadhyay PY - 2019 DA - 2019/06/18 TI - A New Nonparametric Test for Two Sample Multivariate Location Problem with Application to Astronomy JO - Journal of Statistical Theory and Applications SP - 136 EP - 146 VL - 18 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.190515.002 DO - 10.2991/jsta.d.190515.002 ID - Modak2019 ER -