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The covariate-adjusted frequency plot for the Rasch Poisson Counts model

The covariate-adjusted frequency plot for the Rasch Poisson Counts model
The covariate-adjusted frequency plot for the Rasch Poisson Counts model
The Rasch Poisson Counts model is an appropriate item response theory (IRT) model for analyzing many kinds of count data in educational and psychological testing. The evaluation of a fitted Rasch Poisson model by means of a graphical display or graphical device is difficult and, hence, very much an open problem, since the observations come from different distributions. Hence methods, potentially straightforward in the univariate case, cannot be applied for this model. However, it is possible to use a method, called the covariate–adjusted frequency plot, which incorporates covariate information into a marginal frequency plot. We utilize this idea here to construct a covariate-adjusted frequency plot for the Rasch Poisson Counts model. This graphical method is useful in illustrating goodness-of-fit of the model as well as identifying potential areas (items) with problematic fit. A case study using typical data from a frequently used intelligence test illustrates the method which is easy to use
1685-9057
67-78
Holling, Heinz
88d46f56-77ca-4d0e-b035-a51aff735435
Bohning, Walailuck
4d2abe7f-ae5e-4df1-903f-086366664de6
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Holling, Heinz
88d46f56-77ca-4d0e-b035-a51aff735435
Bohning, Walailuck
4d2abe7f-ae5e-4df1-903f-086366664de6
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1

Holling, Heinz, Bohning, Walailuck and Bohning, Dankmar (2015) The covariate-adjusted frequency plot for the Rasch Poisson Counts model. Thailand Statistician, 13 (1), 67-78.

Record type: Article

Abstract

The Rasch Poisson Counts model is an appropriate item response theory (IRT) model for analyzing many kinds of count data in educational and psychological testing. The evaluation of a fitted Rasch Poisson model by means of a graphical display or graphical device is difficult and, hence, very much an open problem, since the observations come from different distributions. Hence methods, potentially straightforward in the univariate case, cannot be applied for this model. However, it is possible to use a method, called the covariate–adjusted frequency plot, which incorporates covariate information into a marginal frequency plot. We utilize this idea here to construct a covariate-adjusted frequency plot for the Rasch Poisson Counts model. This graphical method is useful in illustrating goodness-of-fit of the model as well as identifying potential areas (items) with problematic fit. A case study using typical data from a frequently used intelligence test illustrates the method which is easy to use

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More information

Accepted/In Press date: 7 October 2014
Published date: 2015
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 379551
URI: https://eprints.soton.ac.uk/id/eprint/379551
ISSN: 1685-9057
PURE UUID: 30d7cfcb-3ca4-495d-826e-5f9c53b88c06
ORCID for Dankmar Bohning: ORCID iD orcid.org/0000-0003-0638-7106

Catalogue record

Date deposited: 23 Jul 2015 10:52
Last modified: 06 Oct 2018 00:32

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