The person response function as a tool in person-fit research

Sijtsma, Klaas; Meijer, Rob R.

doi:10.1007/bf02294835

Cited by 48 publications

(48 citation statements)

References 37 publications

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“…This function was suggested by Mosier (1942), Helmstader (1957) and Weiss (1973), and was subsequently called 'Subject Characteristic Curve' (Vale & Weiss, 1975), 'Person Characteristic Curve' (Lumsden, 1977(Lumsden, , 1978, 'Person Response Curve' (Trabin & Weiss, 1983), and 'Person Response Function' (Sijtsma & Meijer, 2001). Person Response Curve (PRC) is the name used here.…”

Section: Person Response Curvesmentioning

confidence: 97%

“…In this way, the empirical PRC is used not only as a check of the appropriateness of the model, but also as a tool that can provide information about the causes of misfit for some particular respondents. This second diagnostic use is the one usually proposed for the PRC in the context of person-fit research (Emons, Sijtsma, & Meijer, 2004;Sijtsma & Meijer, 2001;Trabin & Weiss, 1983).…”

Section: Estimation Of the Prcs And Assessment Of Fitmentioning

confidence: 99%

“…The notation P (S i = 1 | b j ) (Sijtsma & Meijer, 2001) is used here to describe the probability that person i with θ i and σ i endorses an item with location parameter b j . Note that in this case the probability is a function of the item location, and the person parameters θ i and σ i are fixed.…”

Section: Person Response Curvesmentioning

confidence: 99%

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A Pearson-Type-VII item response model for assessing person fluctuation

Ferrando

2007

Psychometrika

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Section: Person Response Curvesmentioning

confidence: 97%

Section: Estimation Of the Prcs And Assessment Of Fitmentioning

confidence: 99%

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A Pearson-Type-VII item response model for assessing person fluctuation

Ferrando

2007

Psychometrika

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“…For example, Ferrando (2004Ferrando ( , 2007) developed a PRF model based on Lumsden's Thurstonian model (1977), and Strandmark and Linn (1987) formulated the PRF as a generalized logistic response model. In the context of nonparametric IRT, Sijtsma and Meijer (2001) and Emons et al (2004Emons et al ( , 2005 estimated PRFs using nonparametric regression methods such as binning and kernel smoothing, and for parametric IRT, Trabin and Weiss (1983) and Nering and Meijer (1998) used binning to estimate the PRF.…”

Section: Person Response Functionmentioning

confidence: 99%

On the Usefulness of a Multilevel Logistic Regression Approach to Person-Fit Analysis

Conijn

Emons

Assen

et al. 2011

Multivariate Behavioral Research

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The logistic person response function (PRF) models the probability of a correct response as a function of the item locations. Reise (2000) proposed to use the slope parameter of the logistic PRF as a person-fit measure. He reformulated the logistic PRF model as a multilevel logistic regression model and estimated the PRF parameters from this multilevel framework. An advantage of the multilevel framework is that it allows relating person fit to explanatory variables for person misfit/fit. We critically discuss Reise's approach. First, we argue that often the interpretation of the PRF slope as an indicator of person misfit is incorrect. Second, we show that the multilevel logistic regression model and the logistic PRF model are incompatible, resulting in a multilevel person-fit framework, which grossly violates the bivariate normality assumption for residuals in the multilevel model. Third, we use a Monte Carlo study to show that in the multilevel logistic regression framework estimates of distribution parameters of PRF intercepts and slopes are biased. Finally, we discuss the implications of these results and suggest an alternative multilevel regression approach to explanatory person-fit analysis. We illustrate the alternative approach using empirical data on repeated anxiety measurements of cardiac arrhythmia patients who had a cardioverter-defibrillator implanted.

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“…PerFit allows computing PRF plots; we will discuss this function at more length in Section 3.2. As an example, Figure 1 shows nonparametric PRFs (Emons, Sijtsma, and Meijer 2004;Sijtsma and Meijer 2001) for four different test takers that were estimated based on the answers of 1000 test takers on 26 dichotomous items (dataset IntelligenceData in PerFit). The x-axes display the item difficulty in terms of the values (1 − π i ), thus values close to zero concern easier items and values close to one concern more difficult items.…”

Section: Rationale Behind Person-fitmentioning

confidence: 99%

PerFit: An R Package for Person-Fit Analysis in IRT

Tendeiro¹,

Meijer²,

Niessen³

2016

J. Stat. Soft.

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Checking the validity of test scores is important in both educational and psychological measurement. Person-fit analysis provides several statistics that help practitioners assessing whether individual item score vectors conform to a prespecified item response theory model or, alternatively, to a group of test takers. Software enabling easy access to most person-fit statistics was lacking up to now. The PerFit R package was written in order to fill in this void. A theoretical overview of relatively simple person-fit statistics is provided. A practical guide showing how the main functions of PerFit can be used is also given. Both numerical and graphical tools are described and illustrated using examples. The goal is to show how person-fit statistics can be easily applied to testing of questionnaire data.

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The person response function as a tool in person-fit research

Abstract: appropriateness measurement, invariant item ordering, nonparametric item response theory, person-fit method, person response function,

Cited by 48 publications

References 37 publications

A Pearson-Type-VII item response model for assessing person fluctuation

A Pearson-Type-VII item response model for assessing person fluctuation

On the Usefulness of a Multilevel Logistic Regression Approach to Person-Fit Analysis

PerFit: An R Package for Person-Fit Analysis in IRT

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