Social sciences 10 topics
Social sciences
Psychometrics
10 topics 8 math concepts connects to 2 fields
Psychometrics develops mathematical models to measure psychological attributes. Item response theory and factor analysis sit at its core; the same mathematics appears in econometrics, biostatistics, and ML.
Topics in this field
Classical Test Theory
The foundational framework decomposing an observed score into a true score and random measurement error.
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Confirmatory Factor Analysis
A theory-driven factor model in which loadings and factor correlations are constrained a priori and tested against data.
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Differential Item Functioning
Detection of items that favor one group over another after matching on the latent trait being measured.
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Factor Analysis
Dimensionality-reduction technique decomposing observed variables into latent common factors and unique error terms.
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Item Response Theory
Probabilistic models linking latent trait levels to item response probabilities via item characteristic curves.
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Latent Class Analysis
A model-based clustering technique that identifies unobserved subgroups from patterns of categorical observed indicators.
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Rasch Model
A one-parameter IRT model placing persons and items on a common logit scale via the log-odds of success.
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Reliability and Validity
Core psychometric properties evaluating the consistency and accuracy of a measurement instrument.
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Structural Equation Modeling
A framework combining a measurement model and a structural model to test hypothesized relationships among latent variables.
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Test Equating
Statistical procedures that place scores from different test forms onto a common scale so they can be used interchangeably.
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