Power Comparison of Modality Tests

Rana Muhammad Imran Arshad; Sadaf Khan; Farrukh Jamal; Shahina Aslam

doi:10.64060/JASR.v1.i2.2

Authors

Rana Muhammad Imran Arshad Department of Statistics Govt. S. E. College Bahawalpur Author
Sadaf Khan The Islamia University Bahawalpur Author https://orcid.org/0000-0002-0258-5124
Farrukh Jamal Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur Author https://orcid.org/0000-0001-6192-9890
Shahina Aslam Department of Economics Govt. S. E. College Bahawalpur Author

DOI:

https://doi.org/10.64060/JASR.v1.i2.2

Keywords:

Modality Tests, Size of the test, Silverman Bandwidth Test, Monte Carlo Simulation Technique

Abstract

In this paper, the power of each test of unimodality/multimodality is estimated. The power of each test is estimated on the basis of the alternative hypothesis that there is bimodality. The Power Curve and Power Envelope of each test of unimodality /multimodality are also shown by using a graphical representation. The most stringent test of all the four tests of unimodality/multimodality is also recognised and finally finds the Conclusion about the most powerful, best test, worst test and most stringent test among these four stated tests.

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