Please use this identifier to cite or link to this item:
https://doi.org/10.21256/zhaw-20487Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Müller, Marianne | - |
| dc.date.accessioned | 2020-09-17T09:50:10Z | - |
| dc.date.available | 2020-09-17T09:50:10Z | - |
| dc.date.issued | 2020-08-28 | - |
| dc.identifier.issn | 2195-5832 | de_CH |
| dc.identifier.uri | https://digitalcollection.zhaw.ch/handle/11475/20487 | - |
| dc.description.abstract | Aim: To compare fit statistics for the Rasch model based on estimates of unconditional or conditional response probabilities. Background: Using person estimates to calculate fit statistics can lead to problems because the person estimates are biased. Conditional response probabilities given the total person score could be used instead. Methods: Data sets are simulated which fit the Rasch model. Type I error rates are calculated and the distributions of the fit statistics are compared with the assumed normal or chi-square distribution. Parametric bootstrap is used to further study the distributions of the fit statistics. Results: Type I error rates for unconditional chi-square statistics are larger than expected even for moderate sample sizes. The conditional chi-square statistics maintain the significance level. Unconditional outfit and infit statistics have asymmetric distributions with means slighly below 1. Conditional outfit and infit statistics have reduced Type I error rates. Conclusions: Conditional residuals should be used. If only unconditional residuals are available parametric bootstrapping is recommended to calculate valid p-values. Bootstrapping is also necessary for conditional outfit statistics. For conditional infit statistics the adjusted rule-of-thumb critical values look useful. | de_CH |
| dc.language.iso | en | de_CH |
| dc.publisher | Springer | de_CH |
| dc.relation.ispartof | Journal of Statistical Distributions and Applications | de_CH |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | de_CH |
| dc.subject | Rasch model | de_CH |
| dc.subject | Chi-square test statistics | de_CH |
| dc.subject | Outfit and infit statistics | de_CH |
| dc.subject | Conditional probability | de_CH |
| dc.subject.ddc | 510: Mathematik | de_CH |
| dc.title | Item fit statistics for Rasch analysis : can we trust them? | de_CH |
| dc.type | Beitrag in wissenschaftlicher Zeitschrift | de_CH |
| dcterms.type | Text | de_CH |
| zhaw.departement | School of Engineering | de_CH |
| zhaw.organisationalunit | Institut für Datenanalyse und Prozessdesign (IDP) | de_CH |
| dc.identifier.doi | 10.1186/s40488-020-00108-7 | de_CH |
| dc.identifier.doi | 10.21256/zhaw-20487 | - |
| zhaw.funding.eu | No | de_CH |
| zhaw.issue | 5 | de_CH |
| zhaw.originated.zhaw | Yes | de_CH |
| zhaw.publication.status | publishedVersion | de_CH |
| zhaw.volume | 7 | de_CH |
| zhaw.publication.review | Peer review (Publikation) | de_CH |
| zhaw.webfeed | Statistik und Quantitative Finance | de_CH |
| zhaw.author.additional | No | de_CH |
| zhaw.display.portrait | Yes | de_CH |
| Appears in collections: | Publikationen School of Engineering | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2020_Mueller_Item-fit-statistics-for-Rasch-analysis.pdf | 713.55 kB | Adobe PDF |  View/Open |
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Müller, M. (2020). Item fit statistics for Rasch analysis : can we trust them? Journal of Statistical Distributions and Applications, 7(5). https://doi.org/10.1186/s40488-020-00108-7
Müller, M. (2020) ‘Item fit statistics for Rasch analysis : can we trust them?’, Journal of Statistical Distributions and Applications, 7(5). Available at: https://doi.org/10.1186/s40488-020-00108-7.
M. Müller, “Item fit statistics for Rasch analysis : can we trust them?,” Journal of Statistical Distributions and Applications, vol. 7, no. 5, Aug. 2020, doi: 10.1186/s40488-020-00108-7.
MÜLLER, Marianne, 2020. Item fit statistics for Rasch analysis : can we trust them? Journal of Statistical Distributions and Applications. 28 August 2020. Bd. 7, Nr. 5. DOI 10.1186/s40488-020-00108-7
Müller, Marianne. 2020. “Item Fit Statistics for Rasch Analysis : Can We Trust Them?” Journal of Statistical Distributions and Applications 7 (5). https://doi.org/10.1186/s40488-020-00108-7.
Müller, Marianne. “Item Fit Statistics for Rasch Analysis : Can We Trust Them?” Journal of Statistical Distributions and Applications, vol. 7, no. 5, Aug. 2020, https://doi.org/10.1186/s40488-020-00108-7.
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