### Abstract

Original language | English |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Faculty Educational Science and Technology |

Number of pages | 29 |

Publication status | Published - 1999 |

### Publication series

Name | OMD research report |
---|---|

Publisher | University of Twente, Faculty of Educational Science and Technology |

No. | 99-04 |

### Fingerprint

### Keywords

- Classification
- Mastery Tests
- Models
- METIS-136391
- Sampling
- IR-104140
- Foreign Countries

### Cite this

*A minimax procedure in the context of sequential mastery testing*. (OMD research report; No. 99-04). Enschede: University of Twente, Faculty Educational Science and Technology.

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*A minimax procedure in the context of sequential mastery testing*. OMD research report, no. 99-04, University of Twente, Faculty Educational Science and Technology, Enschede.

**A minimax procedure in the context of sequential mastery testing.** / Vos, Hendrik J.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - A minimax procedure in the context of sequential mastery testing

AU - Vos, Hendrik J.

PY - 1999

Y1 - 1999

N2 - The purpose of this paper is to derive optimal rules for sequential mastery tests. In a sequential mastery test, the decision is to classify a subject as a master or a nonmaster, or to continue sampling and administering another random test item. The framework of minimax sequential decision theory (minimum information approach) is used; that is, optimal rules are obtained by minimizing the maximum expected losses associated with all possible decision rules at each stage of sampling. The binomial model is assumed for the probability of a correct response given the true level of functioning, whereas threshold loss is adopted for the loss function involved. Monotonicity conditions are derived, that is, conditions sufficient for optimal rules to be in the form of sequential cutting scores. The paper concludes with a simulation study in which the minimax sequential strategy is compared with other procedures that exist for similar classification decisions in the literature.

AB - The purpose of this paper is to derive optimal rules for sequential mastery tests. In a sequential mastery test, the decision is to classify a subject as a master or a nonmaster, or to continue sampling and administering another random test item. The framework of minimax sequential decision theory (minimum information approach) is used; that is, optimal rules are obtained by minimizing the maximum expected losses associated with all possible decision rules at each stage of sampling. The binomial model is assumed for the probability of a correct response given the true level of functioning, whereas threshold loss is adopted for the loss function involved. Monotonicity conditions are derived, that is, conditions sufficient for optimal rules to be in the form of sequential cutting scores. The paper concludes with a simulation study in which the minimax sequential strategy is compared with other procedures that exist for similar classification decisions in the literature.

KW - Classification

KW - Mastery Tests

KW - Models

KW - METIS-136391

KW - Sampling

KW - IR-104140

KW - Foreign Countries

M3 - Report

T3 - OMD research report

BT - A minimax procedure in the context of sequential mastery testing

PB - University of Twente, Faculty Educational Science and Technology

CY - Enschede

ER -