- Title
- Tests for aggregated dispersion: Van Valen’s test and a new competitor
- Creator
- Livingston Jr, Glen; Allingham, David; Rayner, J. C. W.
- Relation
- Environmental and Ecological Statistics Vol. 29, Issue 2, p. 223-239
- Publisher Link
- http://dx.doi.org/10.1007/s10651-021-00517-0
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2021
- Description
- Van Valen’s test is usually applied as a two sample test for equality of dispersion for multivariate data. Motivated by a comment of Manly (Van Valen’s test. Encyclopedia of Statistical Sciences, 2006) that “Little is known about the properties of Van Valen’s test” we develop an alternative test and compare the Van Valen test with our alternative robust test in an extensive simulation study. We find that Van Valen’s test does not actually test for equality of variance sums; however, for that null hypothesis it still performs well in terms of closeness to the nominal significance level. Due to testing the correct null hypothesis and the excellent adherence to the nominal significance level, we recommend the use of the robust test as a permutation test.
- Subject
- bumpus data; covariance matrix trace; natural selection; permutation test; robust test; Van Valen test
- Identifier
- http://hdl.handle.net/1959.13/1459948
- Identifier
- uon:45825
- Identifier
- ISSN:1352-8505
- Rights
- This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10651-021-00517-0.
- Language
- eng
- Full Text
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