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सामान्यीकरण सिद्धांत (जी-सिद्धांत)×दो-पैरामीटर लॉजिस्टिक आईआरटी मॉडल (2PL)×पुष्टिकारीय कारक विश्लेषण×
क्षेत्रमनोमितिमनोमितिमनोमिति
परिवारLatent structureLatent structureLatent structure
उद्भव वर्ष196319801969
प्रवर्तकLee J. Cronbach and colleaguesFrederic M. LordKarl Jöreskog
प्रकारANOVA-based variance-component frameworkItem response model / latent trait modelMeasurement model / latent variable analysis
मौलिक स्रोतBrennan, R. L. (2001). Generalizability Theory. Springer. link ↗Lord, F. M. (1980). Applications of Item Response Theory to Practical Testing Problems. Erlbaum. link ↗Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). Guilford Press. ISBN: 978-1462515363
उपनामGeneralizability Theory, G-Study / D-Study framework, Genellenebilirlik Kuramı (G-Kuramı)two-parameter logistic model, 2PL model, 2PL IRT — İki Parametreli Madde Tepki ModeliDoğrulayıcı Faktör Analizi — Ölçek Doğrulama (CFA), confirmatory factor analysis, measurement model testing
संबंधित666
सारांशGeneralizability Theory, developed by Lee J. Cronbach and colleagues in the 1960s and formalised by Brennan (2001), is an ANOVA-based framework that extends Classical Test Theory by decomposing observed score variance into multiple, separately identified sources of measurement error — such as raters, tasks, occasions, or items — rather than bundling all error into a single undifferentiated term.The two-parameter logistic item response model, formalised by Frederic Lord (1980), describes the probability that a respondent answers a binary test item correctly as a smooth S-shaped function of the respondent's latent ability. By estimating a separate discrimination parameter for each item alongside a difficulty parameter, 2PL allows items to differ in how sharply they distinguish high- from low-ability respondents — making it the standard model for large-scale educational and psychological assessments.Confirmatory factor analysis is a measurement modelling technique that tests whether a hypothesised factor structure — typically derived from theory or an earlier exploratory analysis — fits observed data from a new sample. Developed by Karl Jöreskog in 1969, it became the dominant tool for validating psychological scales because it requires the researcher to specify in advance which items belong to which latent factor and then assesses the adequacy of that specification against explicit statistical fit criteria.
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