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A Note on the Robust Modification of the Ordered-Heterogeneity Test

Author

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  • Markus Neuhäuser

    (Department of Mathematics, Informatics, and Technology, RheinAhrCampus, Koblenz University of Applied Sciences, Joseph-Rovan-Allee 2, 53424 Remagen, Germany)

  • Sabrina Schmitt

    (Institute for Clinical Epidemiology and Biometry, Medical Faculty, Julius-Maximilians-University Würzburg, Am Schwarzenberg 15, 97078 Würzburg, Germany)

Abstract

An ordered heterogeneity (OH) test is a test for a trend that combines a nondirectional heterogeneity test with the rank-order information specified under the alternative. A modified OH test introduced in 2006 can detect all possible patterns under the alternative with a relatively high power. Here, it is proposed to apply the modified OH test as a permutation test, which has the advantage that it requires only the exchangeability of the observations in the combined sample under the null hypothesis. No additional assumptions or simulations of critical values are necessary. A simulation study indicates that the permutation OH test controls the significance level even for small sample sizes and has a good power, comparable to competing tests. Moreover, the main advantage of the OH tests is their very broad applicability; they can always be applied when a heterogeneity test exists.

Suggested Citation

  • Markus Neuhäuser & Sabrina Schmitt, 2025. "A Note on the Robust Modification of the Ordered-Heterogeneity Test," Stats, MDPI, vol. 8(2), pages 1-8, June.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:2:p:47-:d:1672886
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    References listed on IDEAS

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    1. Joachim Hartung & Dogan Argaç & Kepher Makambi, 2002. "Small sample properties of tests on homogeneity in one—way Anova and Meta—analysis," Statistical Papers, Springer, vol. 43(2), pages 197-235, April.
    2. Markus Neuhauser & Ludwig Hothorn, 2006. "A robust modification of the ordered-heterogeneity test," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(7), pages 721-727.
    3. Stefano Bonnini & Getnet Melak Assegie & Kamila Trzcinska, 2024. "Review about the Permutation Approach in Hypothesis Testing," Mathematics, MDPI, vol. 12(17), pages 1-29, August.
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