A review of different estimation procedures in the Rasch model

R.J.H. Engelen

Research output: Book/ReportReportOther research output

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Abstract

A short review of the different estimation procedures that have been used in association with the Rasch model is provided. These procedures include joint, conditional, and marginal maximum likelihood methods; Bayesian methods; minimum chi-square methods; and paired comparison estimation. A comparison of the marginal maximum likelihood estimation with all other estimation procedures is then provided. Marginal maximum likelihood estimation is defended as the best procedure, but serious numerical problems exist even when applying this method. These problems are especially evident for distribution-free marginal maximum likelihood estimation.
Original languageUndefined
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente, Faculty Educational Science and Technology
Number of pages39
Publication statusPublished - 1987

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.87-6

Keywords

  • Latent Trait Theory
  • Literature Reviews
  • Maximum Likelihood Statistics
  • Estimation (Mathematics)
  • Comparative Analysis
  • Chi Square
  • Mathematical Models
  • Bayesian Statistics
  • IR-104194

Cite this

Engelen, R. J. H. (1987). A review of different estimation procedures in the Rasch model. (OMD research report; No. 87-6). Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology.
Engelen, R.J.H. / A review of different estimation procedures in the Rasch model. Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1987. 39 p. (OMD research report; 87-6).
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abstract = "A short review of the different estimation procedures that have been used in association with the Rasch model is provided. These procedures include joint, conditional, and marginal maximum likelihood methods; Bayesian methods; minimum chi-square methods; and paired comparison estimation. A comparison of the marginal maximum likelihood estimation with all other estimation procedures is then provided. Marginal maximum likelihood estimation is defended as the best procedure, but serious numerical problems exist even when applying this method. These problems are especially evident for distribution-free marginal maximum likelihood estimation.",
keywords = "Latent Trait Theory, Literature Reviews, Maximum Likelihood Statistics, Estimation (Mathematics), Comparative Analysis, Chi Square, Mathematical Models, Bayesian Statistics, IR-104194",
author = "R.J.H. Engelen",
note = "Project Psychometric Aspects of Item Banking No. 21",
year = "1987",
language = "Undefined",
series = "OMD research report",
publisher = "University of Twente, Faculty Educational Science and Technology",
number = "87-6",

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Engelen, RJH 1987, A review of different estimation procedures in the Rasch model. OMD research report, no. 87-6, University of Twente, Faculty Educational Science and Technology, Enschede, the Netherlands.

A review of different estimation procedures in the Rasch model. / Engelen, R.J.H.

Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1987. 39 p. (OMD research report; No. 87-6).

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - A review of different estimation procedures in the Rasch model

AU - Engelen, R.J.H.

N1 - Project Psychometric Aspects of Item Banking No. 21

PY - 1987

Y1 - 1987

N2 - A short review of the different estimation procedures that have been used in association with the Rasch model is provided. These procedures include joint, conditional, and marginal maximum likelihood methods; Bayesian methods; minimum chi-square methods; and paired comparison estimation. A comparison of the marginal maximum likelihood estimation with all other estimation procedures is then provided. Marginal maximum likelihood estimation is defended as the best procedure, but serious numerical problems exist even when applying this method. These problems are especially evident for distribution-free marginal maximum likelihood estimation.

AB - A short review of the different estimation procedures that have been used in association with the Rasch model is provided. These procedures include joint, conditional, and marginal maximum likelihood methods; Bayesian methods; minimum chi-square methods; and paired comparison estimation. A comparison of the marginal maximum likelihood estimation with all other estimation procedures is then provided. Marginal maximum likelihood estimation is defended as the best procedure, but serious numerical problems exist even when applying this method. These problems are especially evident for distribution-free marginal maximum likelihood estimation.

KW - Latent Trait Theory

KW - Literature Reviews

KW - Maximum Likelihood Statistics

KW - Estimation (Mathematics)

KW - Comparative Analysis

KW - Chi Square

KW - Mathematical Models

KW - Bayesian Statistics

KW - IR-104194

M3 - Report

T3 - OMD research report

BT - A review of different estimation procedures in the Rasch model

PB - University of Twente, Faculty Educational Science and Technology

CY - Enschede, the Netherlands

ER -

Engelen RJH. A review of different estimation procedures in the Rasch model. Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology, 1987. 39 p. (OMD research report; 87-6).