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| ショートフォーム・ラッシュモデル× | 項目応答理論 (IRT)× | |
|---|---|---|
| 分野 | 心理測定学 | 心理測定学 |
| 系統 | Latent structure | Latent structure |
| 提唱年≠ | 1960 (Rasch model); short-form application from 1980s onward | 1952–1968 |
| 提唱者≠ | Georg Rasch | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| 種類≠ | Probabilistic item response model | Probabilistic measurement model |
| 原典≠ | Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Danmarks Paedagogiske Institut. link ↗ | Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗ |
| 別名≠ | Rasch analysis for abbreviated scales, short scale Rasch calibration, brief instrument Rasch model | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| 関連≠ | 6 | 5 |
| 概要≠ | The short form Rasch model applies Rasch measurement theory to abbreviated instrument versions. Rather than using all items from a full scale, researchers select a reduced item set and calibrate it under the Rasch model to verify that the shortened instrument preserves interval-level measurement, adequate person separation, and item fit, enabling efficient yet rigorous measurement with fewer items. | Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons. |
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