The Distributional Properties of Rasch Item Fit Statistics
Bibliographic Data
| ID | 20283000 |
|---|---|
| Authors | Richard M Smith (0000-0003-1098-3613, American Dental Association, corresponding author) |
| Year | 1991 |
| Volume | 51 |
| Issue | 3 |
| Pages | 541-565 |
| Publication date | 1991-09-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/0013164491513003 |
| OpenAlex | W2017469866 |
| Language | EN |
| Citations received | 10 |
| References cited | 11 |
This study reports the results of an empirical investigation of the distributional properties of the item fit statistics that are commonly used in Rasch model calibration programs as indices of the fit of the responses to individual items to the measurement model. There are two aspects of this study: an investigation of the distributional properties of the item fit statistics when the data fit the model, and the power of the item fit statistics to detect measurement disturbances. This study is based on simulated data to control for the presence of confounding factors, such as multidimensionality, differences in the slopes of item characteristic curves, and guessing. The results indicate that, when that data fit the model, the distributional properties of the item fit statistics, corrected for use of estimated person parameters, are close to hypothesized mean and standard deviation and that it is possible to construct reasonable Type I error rates that can be used as a frame of reference when investigating the fit of actual data to the Rasch model. The item fit statistics also have the power to detect measurement disturbances of reasonable magnitude
Differential item functioning · Econometrics · Equating · Goodness of fit · Item response theory · Polytomous Rasch model · Psychometrics · Rasch model · Standard deviation · Statistics · Advanced Causal Inference Techniques · Advanced Statistical Modeling Techniques · Mathematics · Psychometric Methodologies and Testing
A Comparison of the Power of Rasch Total and Between-Item Fit Statistics to Detect Measurement Disturbances
Reweighting Data in the Spirit of Tukey
Investigation of Rater Effects Using Social Network Analysis and Exponential Random Graph Models
Analyzing the Results of Monte Carlo Studies in Item Response Theory
Item Parameter Recovery, Standard Error Estimates, and Fit Statistics of the Winsteps Program for the Family of Rasch Models
Operationalizing Levels of Academic Mastery Based on Vygotsky’s Theory
Using Household Fit Indices to Examine the Psychometric Quality of Food Insecurity Measures
The longitudinal stability of rating characteristics in an EFL examination
An application of Multifaceted Rasch measurement in the Yes/No Angoff standard setting procedure
Exploring the perceived competence of airport ground staff in dealing with unruly passenger behaviors
| Citations per year | 0.31 |
|---|---|
| Citation span | 1994 - 2021 (28) |
| Highly cited | No |