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On the use of comparison regions in visualizing stochastic uncertainty in some two-parameter estimation problems

Eckert, Maren and Vach, Werner. (2020) On the use of comparison regions in visualizing stochastic uncertainty in some two-parameter estimation problems. BIOMETRICAL JOURNAL, 62 (3). pp. 598-609.

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Official URL: https://edoc.unibas.ch/84136/

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Abstract

When considering simultaneous inference for two parameters, it is very common to visualize stochastic uncertainty by plotting two-dimensional confidence regions. This allows us to test post hoc null hypotheses about a single point in a simple manner. However, in some applications the interest is not in rejecting hypotheses on single points, but in demonstrating evidence for the two parameters to be in a convex subset of the parameter space. The specific convex subset to be considered may vary from one post hoc analysis to another. Then it is of interest to have a visualization allowing to perform corresponding analyses. We suggest comparison regions as a simple tool for this task.
Faculties and Departments:05 Faculty of Science > Departement Umweltwissenschaften > Integrative Biologie > Integrative Prähistorische und Naturwissenschaftliche Archäologie (IPNA)
UniBasel Contributors:Vach, Werner
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:WILEY
ISSN:0323-3847
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:25 Jan 2022 09:57
Deposited On:25 Jan 2022 09:57

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