A simultaneous approach to optimizing treatment assignments with mastery scores

Hendrik J. Vos

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Abstract

An approach to simultaneous optimization of assignments of subjects to treatments followed by an end-of-mastery test is presented using the framework of Bayesian decision theory. Focus is on demonstrating how rules for the simultaneous optimization of sequences of decisions can be found. The main advantages of the simultaneous approach, compared to the separate approach, are the more efficient use of data and the fact that more realistic utility structures can be used. The utility structure dealt with in this combined decision problem is a linear utility function. Decision rules are derived for quota-free as well as quota-restricted assignment situations when several culturally biased subpopulations of subjects are to be distinguished. The procedures are demonstrated with an empirical example of instructional decision making in an individualized study system that involves combining two elementary decisions.
Original languageEnglish
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente, Faculty Educational Science and Technology
Publication statusPublished - 1989
Event6th European Meeting of the Psychometric Society 1989 - Leuven, Belgium
Duration: 17 Jul 198919 Jul 1989
Conference number: 6

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.89-5

Keywords

  • Test bias
  • Equations (Mathematics)
  • Psychometrics
  • Decision making
  • Mathematical models
  • Individualized instruction
  • Experimental groups
  • Mastery tests
  • Bayesian statistics
  • Cultural differences

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