File(s) under permanent embargo
Bootstrap Pearson test for difference in discrete distributions
conference contribution
posted on 2023-05-23, 14:51 authored by Nataliya NikolovaNataliya Nikolova, Martin Crees-MorrisMartin Crees-Morris, Tsonev, Y, Kiril TenekedjievKiril Tenekedjievone-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.
History
Publication title
Proceedings of the IEEE International Conference on Automatics and Informatics (ICAI)Pagination
1-6ISBN
978-1-7281-9308-3Department/School
Australian Maritime CollegePublisher
Institute of Electrical and Electronics EngineersPlace of publication
New Jersey, United StatesEvent title
IEEE International Conference on Automatics and Informatics (ICAI)Event Venue
Virtual Conference, Online (Varna, Bulgaria)Date of Event (Start Date)
2020-10-01Date of Event (End Date)
2020-10-03Rights statement
Copyright 2020 IEEERepository Status
- Restricted