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On the use of comparison regions in visualizing stochastic uncertainty in some two-parameter estimation problems
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 4610527
Author(s) Eckert, Maren; Vach, Werner
Author(s) at UniBasel Vach, Werner
Year 2020
Title On the use of comparison regions in visualizing stochastic uncertainty in some two-parameter estimation problems
Journal BIOMETRICAL JOURNAL
Volume 62
Number 3
Pages / Article-Number 598-609
Keywords comparison region; confidence region; likelihood ratio test; two-parameter problem; Wald test
Mesh terms Science & TechnologyLife Sciences & BiomedicinePhysical SciencesMathematical & Computational BiologyStatistics & ProbabilityMathematical & Computational BiologyMathematics
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.
Publisher WILEY
ISSN/ISBN 0323-3847
edoc-URL https://edoc.unibas.ch/84136/
Full Text on edoc No
Digital Object Identifier DOI 10.1002/bimj.201800232
PubMed ID http://www.ncbi.nlm.nih.gov/pubmed/31661558
ISI-Number 000493029300001
Document type (ISI) Journal Article
 
   

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02/05/2024