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

  • Eckert M Institute of Medical Biometry and Statistics, Section of Health Care Research and Rehabilitation Research, Faculty of Medicine and Medical Center, University of Freiburg, Freiburg, Germany.
  • Vach W Department of Orthopaedics and Traumatology, University Hospital Basel, Basel, Switzerland.
  • 2019-10-30
Published in:
  • Biometrical journal. Biometrische Zeitschrift. - 2020
Wald test
comparison region
confidence region
likelihood ratio test
two-parameter problem
English 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.
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  • English
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https://sonar.ch/global/documents/231748
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