Adaptive confidence intervals of desired length and power for normal means
| dc.contributor.author | Hartung, Joachim | |
| dc.contributor.author | Knapp, Guido | |
| dc.date.accessioned | 2009-02-02T10:45:39Z | |
| dc.date.available | 2009-02-02T10:45:39Z | |
| dc.date.issued | 2009-02-02T10:45:39Z | |
| dc.description.abstract | In all empirical or experimental sciences, it is a standard approach to present results, additionally to point estimates, in form of confidence intervals on the parameters of interest. The length of a confidence interval characterizes the accuracy of the whole findings. Consequently, confidence intervals should be constructed to hold a desired length. Basic ideas go back to Stein (1945) and Seelbinder (1953) who proposed a two-stage procedure for hypothesis testing about a normal mean. Tukey (1953) additionally considered the probability or power a confidence interval should possess to hold its length within a desired boundary. In this paper, an adaptive multi-stage approach is presented that can be considered as an extension of Stein's concept. Concrete rules for sample size updating are provided. Following an adaptive two-stage design of O'Brien and Fleming (1979) type, a real data example is worked out in detail. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/26015 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-518 | |
| dc.language.iso | en | |
| dc.subject | adaptive sample size planning | en |
| dc.subject | group sequential trial | en |
| dc.subject | length of a confidence interval | en |
| dc.subject | multi-stage confidence interval | en |
| dc.subject | power of a confidence interval | en |
| dc.subject.ddc | 310 | |
| dc.title | Adaptive confidence intervals of desired length and power for normal means | en |
| dc.type | Text | |
| dc.type.publicationtype | preprint | |
| dcterms.accessRights | open access |