Performance of Modality Tests on Existence of Bimodality

  • Abdul Ghafar Shah International Islamic University (IIUI), Islamabad, Pakistan
  • Shahid Akbar School of Economics, International Islamic University (IIUI), Islamabad, Pakistan.
  • Habib Nawaz University of science and Technology, Bannu, Pakistan.
Keywords: Bimodality, mixture of normals, power, size


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.


Download data is not yet available.
How to Cite
Shah, A., Akbar, S., & Nawaz, H. (2023). Performance of Modality Tests on Existence of Bimodality. Journal of Quantitative Methods, 7(1), 1-22.