The distribution of person fit using true and estimated person parameters

Loading...
Thumbnail Image

View/Download File

Persistent link to this item

Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

The distribution of person fit using true and estimated person parameters

Published Date

1995

Publisher

Type

Article

Abstract

A variety of methods have been developed to determine the extent to which a person’s response vector fits an item response theory model. These person-fit methods are statistical methods that allow researchers to identify nonfitting response vectors. The most promising method has been the lz statistic, which is a standardized person-fit index. Reise & Due (1991) concluded that under the null condition (i.e., when data were simulated to fit the model) lz performed reasonably well. The present study extended the findings of past researchers (e.g., Drasgow, Levine, & McLaughlin, 1987; Molenaar & Hoijtink, 1990; Reise and Due). Results show that lz may not perform as expected when estimated person parameters (θˆ) are used rather than true θ. This study also examined the influence of the pseudo-guessing parameter, the method used to identify nonfitting response vectors, and the method used to estimate θ. When θ was better estimated, lz, was more normally distributed, and the false positive rate for a single cut score did not characterize the distribution of lz. Changing the c parameter from .20 to 0.0 did not improve the normality of the lz. distribution. Index terms: appropriateness measurement, Bayesian estimation, item response theory, maximum likelihood estimation, person fit.

Keywords

Description

Related to

Replaces

License

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Nering, Michael L. (1995). The distribution of person fit using true and estimated person parameters. Applied Psychological Measurement, 19, 121-129. doi:10.1177/014662169501900201

Other identifiers

doi:10.1177/014662169501900201

Suggested citation

Nering, Michael L.. (1995). The distribution of person fit using true and estimated person parameters. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/120011.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.