Optimal monotone conditional error functions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912059179925504 |
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| author | Brannath, Werner Dreher, Morten Scharpenberg, Martin |
| author_facet | Brannath, Werner Dreher, Morten Scharpenberg, Martin |
| contents | This note presents a method that provides optimal monotone conditional error functions for a large class of adaptive two stage designs. The presented method builds on a previously developed general theory for optimal adaptive two stage designs where sample sizes are reassessed for a specific conditional power and the goal is to minimize the expected sample size. The previous theory can easily lead to a non-monotonous conditional error function which is highly undesirable for logical reasons and can harm type I error rate control for composite null hypotheses. The here presented method extends the existing theory by introducing intermediate monotonising steps that can easily be implemented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00814 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal monotone conditional error functions Brannath, Werner Dreher, Morten Scharpenberg, Martin Methodology This note presents a method that provides optimal monotone conditional error functions for a large class of adaptive two stage designs. The presented method builds on a previously developed general theory for optimal adaptive two stage designs where sample sizes are reassessed for a specific conditional power and the goal is to minimize the expected sample size. The previous theory can easily lead to a non-monotonous conditional error function which is highly undesirable for logical reasons and can harm type I error rate control for composite null hypotheses. The here presented method extends the existing theory by introducing intermediate monotonising steps that can easily be implemented. |
| title | Optimal monotone conditional error functions |
| topic | Methodology |
| url | https://arxiv.org/abs/2402.00814 |