Optimizing incomplete sample designs for item response model parameters

Research output: Book/ReportReportOther research output

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Abstract

Several models for optimizing incomplete sample designs with respect to information on the item parameters are presented. The following cases are considered: (1) known ability parameters; (2) unknown ability parameters; (3) item sets with multiple ability scales; and (4) response models with multiple item parameters. The models are able to cope with hierarchical structures in the population of examinees as well as the domain of content, and allow for practical constraints with respect to such items as test content, curricular differences between groups, or time available for item administration. An example with test data from a national assessment study illustrates the use of the models. This methodology was applied to an imagined third study of the Dutch part of the Second Mathematics Study of the International Association for the Evaluation of Educational Achievement for the three subject areas of Geometry, Algebra, and Arithmetic for a sample of 400 seventh graders. The LANDO computer program was used to solve the models, illustrating their utility.
Original languageUndefined
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente, Faculty Educational Science and Technology
Publication statusPublished - Apr 1988

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.88-5

Keywords

  • Elementary Education
  • Elementary School Students
  • IR-103611
  • Grade 7
  • Sampling
  • Equations (Mathematics)
  • Computer Assisted Testing
  • Latent Trait Theory
  • Ability Identification
  • Mathematical Models
  • Mathematics Achievement
  • Maximum Likelihood Statistics
  • Foreign Countries
  • Statistical Analysis

Cite this

van der Linden, W. J. (1988). Optimizing incomplete sample designs for item response model parameters. (OMD research report; No. 88-5). Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology.
van der Linden, Willem J. / Optimizing incomplete sample designs for item response model parameters. Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1988. (OMD research report; 88-5).
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abstract = "Several models for optimizing incomplete sample designs with respect to information on the item parameters are presented. The following cases are considered: (1) known ability parameters; (2) unknown ability parameters; (3) item sets with multiple ability scales; and (4) response models with multiple item parameters. The models are able to cope with hierarchical structures in the population of examinees as well as the domain of content, and allow for practical constraints with respect to such items as test content, curricular differences between groups, or time available for item administration. An example with test data from a national assessment study illustrates the use of the models. This methodology was applied to an imagined third study of the Dutch part of the Second Mathematics Study of the International Association for the Evaluation of Educational Achievement for the three subject areas of Geometry, Algebra, and Arithmetic for a sample of 400 seventh graders. The LANDO computer program was used to solve the models, illustrating their utility.",
keywords = "Elementary Education, Elementary School Students, IR-103611, Grade 7, Sampling, Equations (Mathematics), Computer Assisted Testing, Latent Trait Theory, Ability Identification, Mathematical Models, Mathematics Achievement, Maximum Likelihood Statistics, Foreign Countries, Statistical Analysis",
author = "{van der Linden}, {Willem J.}",
year = "1988",
month = "4",
language = "Undefined",
series = "OMD research report",
publisher = "University of Twente, Faculty Educational Science and Technology",
number = "88-5",

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van der Linden, WJ 1988, Optimizing incomplete sample designs for item response model parameters. OMD research report, no. 88-5, University of Twente, Faculty Educational Science and Technology, Enschede, the Netherlands.

Optimizing incomplete sample designs for item response model parameters. / van der Linden, Willem J.

Enschede, the Netherlands : University of Twente, Faculty Educational Science and Technology, 1988. (OMD research report; No. 88-5).

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - Optimizing incomplete sample designs for item response model parameters

AU - van der Linden, Willem J.

PY - 1988/4

Y1 - 1988/4

N2 - Several models for optimizing incomplete sample designs with respect to information on the item parameters are presented. The following cases are considered: (1) known ability parameters; (2) unknown ability parameters; (3) item sets with multiple ability scales; and (4) response models with multiple item parameters. The models are able to cope with hierarchical structures in the population of examinees as well as the domain of content, and allow for practical constraints with respect to such items as test content, curricular differences between groups, or time available for item administration. An example with test data from a national assessment study illustrates the use of the models. This methodology was applied to an imagined third study of the Dutch part of the Second Mathematics Study of the International Association for the Evaluation of Educational Achievement for the three subject areas of Geometry, Algebra, and Arithmetic for a sample of 400 seventh graders. The LANDO computer program was used to solve the models, illustrating their utility.

AB - Several models for optimizing incomplete sample designs with respect to information on the item parameters are presented. The following cases are considered: (1) known ability parameters; (2) unknown ability parameters; (3) item sets with multiple ability scales; and (4) response models with multiple item parameters. The models are able to cope with hierarchical structures in the population of examinees as well as the domain of content, and allow for practical constraints with respect to such items as test content, curricular differences between groups, or time available for item administration. An example with test data from a national assessment study illustrates the use of the models. This methodology was applied to an imagined third study of the Dutch part of the Second Mathematics Study of the International Association for the Evaluation of Educational Achievement for the three subject areas of Geometry, Algebra, and Arithmetic for a sample of 400 seventh graders. The LANDO computer program was used to solve the models, illustrating their utility.

KW - Elementary Education

KW - Elementary School Students

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KW - Grade 7

KW - Sampling

KW - Equations (Mathematics)

KW - Computer Assisted Testing

KW - Latent Trait Theory

KW - Ability Identification

KW - Mathematical Models

KW - Mathematics Achievement

KW - Maximum Likelihood Statistics

KW - Foreign Countries

KW - Statistical Analysis

M3 - Report

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PB - University of Twente, Faculty Educational Science and Technology

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van der Linden WJ. Optimizing incomplete sample designs for item response model parameters. Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology, 1988. (OMD research report; 88-5).