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The Dip Test of Unimodality
The Annals of Statistics · 1985 · Vol. 13(1)
Abstract
The dip test measures multimodality in a sample by the maximum difference, over all sample points, between the empirical distribution function, and the unimodal distribution function that minimizes that maximum difference. The uniform distribution is the asymptotically least favorable unimodal distribution, and the distribution of the test statistic is determined asymptotically and empirically when sampling from the uniform.
Advanced Statistical Methods and ModelsStatistical Distribution Estimation and ApplicationsStatistical Methods and InferenceMathematicsUnimodalityStatisticsEmpirical distribution functionKolmogorov–Smirnov testDistribution (mathematics)Sample (material)Test statisticStatisticUniform distribution (continuous)
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References
Using Kernel Density Estimates to Investigate Multimodality
Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1981 · 998 citations
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