### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede, the Netherlands |

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

Publication status | Published - Dec 1987 |

### Publication series

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

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

No. | 87-10 |

### Keywords

- Latent Trait Theory
- Testing Problems
- Test Construction
- Test Items
- IR-103748
- Mathematical Models
- Algorithms
- Foreign Countries
- Linear Programming
- Item Banks

### Cite this

*A maximin model for test design with practical constraints*. (OMD research report; No. 87-10). Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology.

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*A maximin model for test design with practical constraints*. OMD research report, no. 87-10, University of Twente, Faculty Educational Science and Technology, Enschede, the Netherlands.

**A maximin model for test design with practical constraints.** / van der Linden, Willem J.; Boekkooi-Timminga, Ellen.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - A maximin model for test design with practical constraints

AU - van der Linden, Willem J.

AU - Boekkooi-Timminga, Ellen

N1 - Project Psychometric Aspects of Item Banking No. 25

PY - 1987/12

Y1 - 1987/12

N2 - A "maximin" model for item response theory based test design is proposed. In this model only the relative shape of the target test information function is specified. It serves as a constraint subject to which a linear programming algorithm maximizes the information in the test. In the practice of test construction there may be several demands with respect to the properties of the test. The way in which these can be formulated as linear constraints in the model is demonstrated. The constraints discussed include: (1) test composition; (2) administration time; (3) selection of item features; (4) group-dependent item parameters; (5) inclusion or exclusion of individual items; and (6) inter-item dependencies. An example of a test construction problem with practical constraints is presented. Using the three-parameter logistic model, an item bank of 1,000 items was drawn for the application of the test construction model, which was solved using the computer program LINPROG. Some alternative models of test construction are discussed. Three tables provide information about four solutions and list alternative objective functions in test construction.

AB - A "maximin" model for item response theory based test design is proposed. In this model only the relative shape of the target test information function is specified. It serves as a constraint subject to which a linear programming algorithm maximizes the information in the test. In the practice of test construction there may be several demands with respect to the properties of the test. The way in which these can be formulated as linear constraints in the model is demonstrated. The constraints discussed include: (1) test composition; (2) administration time; (3) selection of item features; (4) group-dependent item parameters; (5) inclusion or exclusion of individual items; and (6) inter-item dependencies. An example of a test construction problem with practical constraints is presented. Using the three-parameter logistic model, an item bank of 1,000 items was drawn for the application of the test construction model, which was solved using the computer program LINPROG. Some alternative models of test construction are discussed. Three tables provide information about four solutions and list alternative objective functions in test construction.

KW - Latent Trait Theory

KW - Testing Problems

KW - Test Construction

KW - Test Items

KW - IR-103748

KW - Mathematical Models

KW - Algorithms

KW - Foreign Countries

KW - Linear Programming

KW - Item Banks

M3 - Report

T3 - OMD research report

BT - A maximin model for test design with practical constraints

PB - University of Twente, Faculty Educational Science and Technology

CY - Enschede, the Netherlands

ER -