### Abstract

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

Place of Publication | Enschede |

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

Number of pages | 29 |

Publication status | Published - 1990 |

### Publication series

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

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

No. | 90-1 |

### Fingerprint

### Keywords

- Guessing (Tests)
- Higher Education
- Estimation (Mathematics)
- Probability
- Secondary Education
- Item Bias
- Item Response Theory
- Multiple Choice Tests
- Mathematical Models
- Foreign Countries
- Cognitive Processes
- IR-104145
- METIS-136743
- Test Items

### Cite this

*Differential item functioning in multiple choice items*. (OMD research report; No. 90-1). Enschede: University of Twente, Faculty Educational Science and Technology.

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*Differential item functioning in multiple choice items*. OMD research report, no. 90-1, University of Twente, Faculty Educational Science and Technology, Enschede.

**Differential item functioning in multiple choice items.** / Westers, Paul; Kelderman, Henk.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Differential item functioning in multiple choice items

AU - Westers, Paul

AU - Kelderman, Henk

N1 - Project Psychometric Aspects of Item Banking No. 47

PY - 1990

Y1 - 1990

N2 - In multiple-choice items the response probability on an item may be viewed as the result of two distinct latent processes--a cognitive process to solve the problem, and another random process that leads to the choice of a certain alternative (the process of giving the actual response). An incomplete latent class model is formulated that describes the first process by a Rasch model and the second process by a guessing model. Alternative models are specified that contain additional parameters describing differential item functioning (DIF) in the two processes. DIF with respect to either known or unknown subgroups can be tested by a likelihood ratio test that is asymptotically distributed as chi-square. As an example of the model, four five-choice items from the Second International Mathematics Study (1987) with a sample of 3,002 secondary students were considered.

AB - In multiple-choice items the response probability on an item may be viewed as the result of two distinct latent processes--a cognitive process to solve the problem, and another random process that leads to the choice of a certain alternative (the process of giving the actual response). An incomplete latent class model is formulated that describes the first process by a Rasch model and the second process by a guessing model. Alternative models are specified that contain additional parameters describing differential item functioning (DIF) in the two processes. DIF with respect to either known or unknown subgroups can be tested by a likelihood ratio test that is asymptotically distributed as chi-square. As an example of the model, four five-choice items from the Second International Mathematics Study (1987) with a sample of 3,002 secondary students were considered.

KW - Guessing (Tests)

KW - Higher Education

KW - Estimation (Mathematics)

KW - Probability

KW - Secondary Education

KW - Item Bias

KW - Item Response Theory

KW - Multiple Choice Tests

KW - Mathematical Models

KW - Foreign Countries

KW - Cognitive Processes

KW - IR-104145

KW - METIS-136743

KW - Test Items

M3 - Report

T3 - OMD research report

BT - Differential item functioning in multiple choice items

PB - University of Twente, Faculty Educational Science and Technology

CY - Enschede

ER -