Performance of Modality Tests on Existence of Bimodality
Abstract
In this paper, the Robertson’s and Fryer’s (1969) conditions are applied for the existence of bimodality in the mixture of normals. Best modality test is the pre-requisite to evaluate whether the existing data is a unimodal or bimodal. On the same data the researchers also assessed the bimodality through modality tests. For this purpose the modality tests are compared on size and power properties designed by Monte Carlo simulation. After using the simulated critical values, the results showed that the entire modality tests have stable sizes. In power assesment, mostly the Silverman Bandwidth test was found the best test.
Downloads
Copyright (c) 2023 Abdul Ghafar Shah, Shahid Akbar, Habib Nawaz
This work is licensed under a Creative Commons Attribution 4.0 International License.
JQM follows an open-access publishing policy and full text of all published articles is available free, immediately upon publication of an issue. The journal’s contents are published and distributed under the terms of the Creative Commons Attribution 4.0 International (CC-BY 4.0) license. Thus, the work submitted to the journal implies that it is original, unpublished work of the authors (neither published previously nor accepted/under consideration for publication elsewhere). On acceptance of a manuscript for publication, a corresponding author on the behalf of all co-authors of the manuscript will sign and submit a completed Copyright and Author Consent Form.