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مدل چندسطحی راش×تحلیل عاملی تأییدی چندسطحی (MCFA)×
حوزهروان‌سنجیروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش19971994
پدیدآورAdams, Wilson & WuBengt O. Muthen
نوعHierarchical item response modelLatent variable model / measurement model
منبع بنیادینAdams, R. J., Wilson, M. & Wu, M. (1997). Multilevel item response models: An approach to errors in variables regression. Journal of Educational and Behavioral Statistics, 22(1), 47–76. DOI ↗Muthen, B. O. (1994). Multilevel covariance structure analysis. Sociological Methods & Research, 22(3), 376–398. DOI ↗
نام‌های دیگرhierarchical Rasch model, random-effects Rasch model, multilevel IRT Rasch, MRCML modelMCFA, multilevel measurement model, two-level CFA, hierarchical CFA
مرتبط56
خلاصهThe multilevel Rasch model extends the standard Rasch model to data with a nested structure — for example, students within classrooms within schools — by embedding person ability parameters inside a hierarchical linear model. It yields item difficulty estimates on a logit scale while simultaneously partitioning person-ability variance across cluster levels and correcting standard errors for non-independence.Multilevel confirmatory factor analysis tests a pre-specified factor structure while simultaneously accounting for the non-independence of observations caused by clustered data. It decomposes item variance into within-group and between-group components, fitting a separate measurement model at each level, making it the standard tool for validating psychometric scales administered within natural groups such as classrooms, clinics, or organisations.
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ScholarGateمقایسهٔ روش‌ها: Multilevel Rasch Model · Multilevel CFA. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare