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Bootstrap Pearson test for difference in discrete distributions

Citation

Nikolova, N and Crees-Morris, M and Tsonev, Y and Tenekedjiev, K, Bootstrap Pearson test for difference in discrete distributions, Proceedings of the IEEE International Conference on Automatics and Informatics (ICAI), 1-3 October 2020, Virtual Conference, Online (Varna, Bulgaria) ISBN 978-1-7281-9308-3 (2020) [Refereed Conference Paper]

Copyright Statement

Copyright 2020 IEEE

Official URL: http://dx.doi.org/10.1109/ICAI50593.2020.9311378

Abstract

one-dimensional discrete random variable X describes two populations. A random sample is drawn from each. We formalize a generic statistical test to determine whether the samples provide enough evidence that the distributions of X in the two populations are different. After showing the drawbacks of the existing analytical tests, we develop a Bootstrap procedure with Pearson test statistic calculated from a contingency table. The p-value is estimated using the simulated conditional distribution of the test statistics under null hypothesis for equality of population distributions. Compared to analytical tests, our procedure gives higher precision and decreases uncertainty in both small and big samples. We apply our procedure to survey data on leadership capabilities in academia among two samples of respondents. We take one question from the survey and analyse significance of differences in the responses depending on three criteria.

Item Details

Item Type:Refereed Conference Paper
Keywords:simulations, contingency table, leadership skills
Research Division:Information and Computing Sciences
Research Group:Information systems
Research Field:Decision support and group support systems
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in engineering
UTAS Author:Nikolova, N (Professor Nataliya Nikolova)
UTAS Author:Crees-Morris, M (Mr Martin Crees-Morris)
UTAS Author:Tenekedjiev, K (Professor Kiril Tenekedjiev)
ID Code:141976
Year Published:2020
Deposited By:NC Maritime Engineering and Hydrodynamics
Deposited On:2020-12-06
Last Modified:2021-01-18
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