The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
A Goodness of Fit Test for the Rasch Model
Abstract
The Rasch model is an item analysis model with logistic item characteristic curves of equal slope, i.e. with constant item discriminating powers. The proposed goodness of fit test is based on a comparison between difficulties estimated from different scoregroups and over-all estimates. Based on the within scoregroup estimates and the over-all estimates of item difficulties a conditional likelihood ratio is formed. It is shown that—2 times the logarithm of this ratio is x2-distributed when the Rasch model is true. The power of the proposed goodness of fit test is discussed for alternative models with logistic item characteristic curves, but unequal discriminating items from a scholastic aptitude test.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Linear Statistical Inference and its Applications: Second Editon
Rao, C. R. (1973) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316436 · Cited by 10,489
Statistical Theories of Mental Test Scores
Rozeboom, W. W., Lord, F. M., Novick, M. R., & Birnbaum, A. (1969) · American Educational Research Journal · doi:10.2307/1162101 · Cited by 8,022
Probabilistic Models for Some Intelligence and Attainment Tests
(1961) · Information and Control · doi:10.1016/s0019-9958(61)80061-2 · Cited by 6,939
Journal of the Royal Statistical Society.
(1921) · The Economic Journal · doi:10.1093/ej/31.121.133 · Cited by 1,465
Asymptotic Properties of Conditional Maximum-Likelihood Estimators
Andersen, E. B. (1970) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1970.tb00842.x · Cited by 832
Self-citationLinear Statistical Inference and Its Applications
Johnson, N. L. (1966) · Technometrics · doi:10.1080/00401706.1966.10490390 · Cited by 803
On General Laws and the Meaning of Measurement in Psychology
Rasch, G. (1961) · Project Euclid (Cornell University) · Cited by 766
Whittle, P., & Wilks, S. S. (1963) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2982451 · Cited by 444
AN ITEM ANALYSIS WHICH TAKES INDIVIDUAL DIFFERENCES INTO ACCOUNT
Rasch, G. (1966) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/j.2044-8317.1966.tb00354.x · Cited by 377
Wilks, S. S.: Mathematical Statistics. J. Wiley and Sons, New York–London 1962; 644 S., 98 s
Enderlein, G. (1964) · Biometrische Zeitschrift · doi:10.1002/bimj.19640060317 · Cited by 209
An Analysis of the Verbal Scholastic Aptitude Test Using Birnbaum's Three-Parameter Logistic Model
Lord, F. M. (1968) · Educational and Psychological Measurement · doi:10.1177/001316446802800401 · Cited by 178
The Numerical Solution of a Set of Conditional Estimation Equations
Andersen, E. B. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00887.x · Cited by 167
Self-citationLord, F. M. (1953) · Psychometrika · doi:10.1007/bf02289028 · Cited by 99
Readings in Mathematical Social Sciences.
Baker, F. B., Lazerfeld, P. F., & Henry, N. W. (1969) · Journal of the American Statistical Association · doi:10.2307/2283664 · Cited by 34
Cited by
The Development of a Rasch-Type Loneliness Scale
de Jong-Gierveld, J., & Kamphuls, F. (1985) · Applied Psychological Measurement · doi:10.1177/014662168500900307 · Cited by 1,291
SOLVING MEASUREMENT PROBLEMS WITH THE RASCH MODEL
WRIGHT, B. D. (1977) · Journal of Educational Measurement · doi:10.1111/j.1745-3984.1977.tb00031.x · Cited by 591
Rasch Models in Latent Classes: An Integration of Two Approaches to Item Analysis
Rost, J. (1990) · Applied Psychological Measurement · doi:10.1177/014662169001400305 · Cited by 552
Extended Rasch Modeling: The eRm Package for the Application of IRT Models in R
Mair, P., & Hatzinger, R. (2007) · Journal of Statistical Software · doi:10.18637/jss.v020.i09 · Cited by 517
Teicher, M. H., & Parigger, A. (2015) · PLOS ONE · doi:10.1371/journal.pone.0117423 · Cited by 421
Metadata
- Authors
- Andersen, E. B.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1973-03
- Volume
- 38
- Issue
- 1
- Pages
- 123-140
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2017410258
- Cited by
- 664
- References
- 14
- FWCI
- 2.40
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.