Linganisha mbinu

	Mfumo wa Polytomous Rasch	Upimaji wa Uthabiti wa Kipimo
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	1978–1982	2000
Mwanzilishi	Gerhard N. Masters (Partial Credit Model); David Andrich (Rating Scale Model)	Vandenberg & Lance
Aina	Item response model	Multi-group confirmatory factor analysis procedure
Chanzo asilia	Masters, G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47(2), 149–174.	Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature. Organizational Research Methods, 3(1), 4–70.
Majina mbadala	PRM, Rating Scale Model, Partial Credit Model, Polytomous IRT Rasch	Factorial Invariance, Measurement Equivalence, Configural-Metric-Scalar Testing, Ölçüm Değişmezliği
Zinazohusiana	6	3
Muhtasari	The Polytomous Rasch Model extends the dichotomous Rasch framework to ordered response scales with three or more categories, such as Likert items or partial-credit tasks. It estimates person ability and item difficulty on the same interval-level logit scale, and it tests whether the response categories function as intended — prerequisites for rigorous ordinal measurement.	Measurement invariance testing is a sequence of nested confirmatory factor analysis (CFA) models that examines whether a psychological scale measures the same latent construct in the same way across distinct groups or time points. Systematized and popularized by Vandenberg and Lance (2000), the procedure tests a hierarchy of constraints — from identical factor patterns to identical item intercepts — so that researchers can justify meaningful group comparisons on latent means.