Analysis reveals power comparisons of unimodality and multimodality tests, indicating the most effective methods.
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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Arshad et al. (2025) studied this question.
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