Testing Equality of Medians for Multiple Samples

Fuente: arXiv
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Autore principale: Bhattacharyya, Swapnaneel
Natura: Preprint
Pubblicazione: 2025
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author Bhattacharyya, Swapnaneel
author_facet Bhattacharyya, Swapnaneel
contents In this paper, we construct a consistent non-parametric test for testing the equality of population medians for different samples when the observations in each sample are independent and identically distributed. This test can be further used to test the equality of unknown location parameters for different samples. The method discussed in this paper can be extended to any quantile level instead of the median. We present the theoretical results and also demonstrate the performance of this test through simulation studies.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05136
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Testing Equality of Medians for Multiple Samples
Bhattacharyya, Swapnaneel
Methodology
In this paper, we construct a consistent non-parametric test for testing the equality of population medians for different samples when the observations in each sample are independent and identically distributed. This test can be further used to test the equality of unknown location parameters for different samples. The method discussed in this paper can be extended to any quantile level instead of the median. We present the theoretical results and also demonstrate the performance of this test through simulation studies.
title Testing Equality of Medians for Multiple Samples
topic Methodology
url https://arxiv.org/abs/2501.05136