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Generalized fiducial methods for testing the homogeneity of a three-sample problem with a mixture structure.
- Source :
-
Journal of Applied Statistics . Apr2023, Vol. 50 Issue 5, p1094-1114. 21p. 4 Charts, 7 Graphs. - Publication Year :
- 2023
-
Abstract
- Recently, the likelihood ratio (LR) test was proposed to test the homogeneity of a three-sample model with a mixture structure. Because of the presence of the mixture structure, the null limiting distribution of the LR test has a complicated supremum form, which leads to challenges in determining p-values. In addition, the LR test cannot control type-I errors well under small to moderate sample size. In this paper, we propose seven generalized fiducial methods to test the homogeneity of the three-sample model. Via simulation studies, we find that our methods perform significantly better than the LR test method in controlling the type-I errors under small to moderate sample size, while they have comparable powers in most cases. A halibut data example is used to illustrate the proposed methods. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TEST methods
*HOMOGENEITY
*MIXTURES
*SAMPLE size (Statistics)
Subjects
Details
- Language :
- English
- ISSN :
- 02664763
- Volume :
- 50
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Statistics
- Publication Type :
- Academic Journal
- Accession number :
- 162844384
- Full Text :
- https://doi.org/10.1080/02664763.2021.2017414