Volume 17, Issue 2, June 2018, Pages 271 - 282
A New Test for Simple Tree Alternative in a 2 x k Table
Authors
Parthasarathi Chakrabartipartho.stat@gmail.com
Department of Statistics, R.K.M. Residential College, Narendrapur, Kolkata 700 103, India
Uttam Bandyopadhyay*, ubandyopadhyay08@gmail.com
Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata 700 019, India
*corresponding author.
Corresponding Author
Uttam Bandyopadhyayubandyopadhyay08@gmail.com
Received 20 October 2016, Accepted 31 May 2017, Available Online 30 June 2018.
- DOI
- 10.2991/jsta.2018.17.2.7How to use a DOI?
- Keywords
- order restriction; simple tree; empirical size; empirical power; bootstrap
- Abstract
This paper considers simple tree order restriction in 2×k cohort study and provides a consistent test in which the usual multiple comparison test statistics are modified by using the characteristic roots of a consistent estimator of the associated correlation matrix. The relevant performance measures of the proposed test are obtained and are compared numerically with existing competitors via simulation. It is shown that the proposed test is comparable to or better than the competitors in terms of type I error rate and power. Finally, data study illustrates the use of such a test.
- Copyright
- Copyright © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
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TY - JOUR AU - Parthasarathi Chakrabarti AU - Uttam Bandyopadhyay PY - 2018 DA - 2018/06/30 TI - A New Test for Simple Tree Alternative in a 2 x k Table JO - Journal of Statistical Theory and Applications SP - 271 EP - 282 VL - 17 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.2.7 DO - 10.2991/jsta.2018.17.2.7 ID - Chakrabarti2018 ER -