Latent structureScale / measurement
Item Response Theory (IRT)
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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Sources
- Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
- Embretson, S. E. & Reise, S. P. (2000). Item Response Theory for Psychologists. Lawrence Erlbaum Associates. ISBN: 978-0805828191
Related methods
Referenced by
Adaptive screening test evaluationBayesian Differential Item FunctioningBayesian EFABayesian Item AnalysisBayesian Scale DevelopmentBifactor ModelCAT Cronbach's AlphaCAT Generalizability TheoryCAT McDonald's OmegaCAT Scale DevelopmentCAT Test-Retest ReliabilityCAT-DIFComputerized Adaptive Test Content ValidityComputerized Adaptive Test Convergent ValidityComputerized adaptive test discriminant validityComputerized adaptive test item analysisComputerized adaptive test item response theoryComputerized adaptive test Rasch modelComputerized adaptive test reliability analysisDifferential Item FunctioningGeneralizability TheoryItem AnalysisLongitudinal DIFLongitudinal IRTLongitudinal Item AnalysisMulti-group Differential Item FunctioningMulti-group EFAMulti-group item analysisMulti-group item response theoryMulti-group Rasch modelMultilevel Differential Item FunctioningMultilevel Generalizability TheoryMultilevel Rasch ModelOrdinal CFAOrdinal Differential Item FunctioningOrdinal EFAOrdinal IRTOrdinal Item AnalysisOrdinal McDonald's omegaOrdinal Measurement InvarianceOrdinal Rasch ModelOrdinal Reliability AnalysisOrdinal Scale DevelopmentPCM / GPCMPoint-Biserial CorrelationPolytomous Confirmatory Factor AnalysisPolytomous DIFPolytomous EFAPolytomous Rasch ModelPolytomous Reliability AnalysisPolytomous scale developmentRobust Cronbach's AlphaRobust Differential Item FunctioningRobust Exploratory Factor AnalysisRobust Item AnalysisRobust McDonald's OmegaRobust Rasch ModelScale developmentShort form differential item functioningShort Form Measurement InvarianceShort form Rasch modelShort-Form CFAShort-form Cronbach's alphaShort-Form IRTShort-form item analysisShort-form McDonald's omegaShort-form reliability analysisShort-Form Scale DevelopmentShort-form test-retest reliabilityTest Equating