Online-Ressource | |
Verfasst von: | Kunzmann, Kevin [VerfasserIn] |
Kieser, Meinhard [VerfasserIn] | |
Titel: | Test-compatible confidence intervals for adaptive two-stage single-arm designs with binary endpoint |
Verf.angabe: | Kevin Kunzmann, Meinhard Kieser |
Jahr: | 2018 |
Umfang: | 11 S. |
Fussnoten: | First published: 27 October 2017 ; Gesehen am 05.11.2018 |
Titel Quelle: | Enthalten in: Biometrical journal |
Ort Quelle: | Berlin : Wiley-VCH, 1977 |
Jahr Quelle: | 2018 |
Band/Heft Quelle: | 60(2018), 1, Seite 196-206 |
ISSN Quelle: | 1521-4036 |
Abstract: | Inference after two-stage single-arm designs with binary endpoint is challenging due to the nonunique ordering of the sampling space in multistage designs. We illustrate the problem of specifying test-compatible confidence intervals for designs with nonconstant second-stage sample size and present two approaches that guarantee confidence intervals consistent with the test decision. Firstly, we extend the well-known Clopper-Pearson approach of inverting a family of two-sided hypothesis tests from the group-sequential case to designs with fully adaptive sample size. Test compatibility is achieved by using a sample space ordering that is derived from a test-compatible estimator. The resulting confidence intervals tend to be conservative but assure the nominal coverage probability. In order to assess the possibility of further improving these confidence intervals, we pursue a direct optimization approach minimizing the mean width of the confidence intervals. While the latter approach produces more stable coverage probabilities, it is also slightly anti-conservative and yields only negligible improvements in mean width. We conclude that the Clopper-Pearson-type confidence intervals based on a test-compatible estimator are the best choice if the nominal coverage probability is not to be undershot and compatibility of test decision and confidence interval is to be preserved. |
DOI: | doi:10.1002/bimj.201700018 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt. Volltext: http://dx.doi.org/10.1002/bimj.201700018 |
Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/bimj.201700018 | |
DOI: https://doi.org/10.1002/bimj.201700018 | |
Datenträger: | Online-Ressource |
Sprache: | eng |
Sach-SW: | adaptive designs |
binary endpoint | |
confidence interval | |
two-stage designs | |
K10plus-PPN: | 1582568456 |
Verknüpfungen: | → Zeitschrift |