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A minimax procedure in the context of sequential testing problems in psychodiagnostics
1Faculty of Educational Science and Technology, Department of Educational Measurement and Data Analysis, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands. vos@edte.utwente.nl
Summary
This study introduces minimax sequential decision theory for psychodiagnostic testing, optimizing treatment effectiveness evaluation by minimizing expected losses and incorporating testing costs. The approach is demonstrated for cognitive-analytic therapy in anorexia nervosa patients.
Area of Science:
- Psychodiagnostics
- Decision Theory
- Clinical Psychology
Background:
- Sequential testing in psychodiagnostics involves deciding treatment effectiveness based on patient responses.
- Existing methods may not fully account for the costs associated with patient testing.
- Optimizing decision-making under uncertainty is crucial for efficient clinical trials.
Purpose of the Study:
- To derive optimal rules for sequential testing problems in psychodiagnostics.
- To propose and apply the minimax sequential decision theory framework.
- To explicitly incorporate testing costs into sequential decision-making.
Main Methods:
- Utilized the minimax sequential decision theory framework.
- Derived optimal rules by minimizing maximum expected losses at each testing stage.
- Applied the sequential testing procedure to an empirical example.
Main Results:
- The minimax approach provides optimal rules for sequential psychodiagnostic testing.
- Demonstrated application to cognitive-analytic therapy for anorexia nervosa.
- Indicated appropriate actions based on positive reactions and a maximum number of patients.
Conclusions:
- Minimax sequential decision theory offers an effective method for optimizing psychodiagnostic testing.
- The approach allows for explicit consideration of testing costs.
- Simulation studies confirm the strategy's efficiency compared to existing methods.