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A Tactile Automated Passive-Finger Stimulator (TAPS)

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An approach to the conditional error rate principle with nuisance parameters.

Georg Gutjahr¹, Werner Brannath, Peter Bauer

¹Center of Medical Statistics, Medical University of Vienna, Austria Department of Mathematics, University of Bremen, Germany. georg.gutjahr@math.uni-bremen.de

|December 1, 2010

Summary

We developed a new method to apply the conditional error rate principle even with nuisance parameters. This approach finds optimal tests by maximizing weighted conditional error rates, ensuring overall error control.

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Area of Science:

Statistical methodology
Hypothesis testing

Background:

The conditional error rate principle is challenging to apply with nuisance parameters.
Nuisance parameters complicate the dependency of conditional error functions in preplanned tests.

Purpose of the Study:

To extend the conditional error rate principle for use with nuisance parameters.
To develop a method for selecting tests that maintain overall error control.

Main Methods:

Propose searching for tests that maximize a weighted combination of conditional error rates.
Optimize over possible values of nuisance parameters.

Main Results:

The proposed method guarantees overall error control.
The defining optimization problem is efficiently solvable using existing algorithms.

Conclusions:

The developed approach effectively integrates nuisance parameters into the conditional error rate principle.
Efficient algorithms exist to solve the optimization problem for test selection.