Linganisha mbinu

	Mfumo wa Polytomous Rasch	Uchanganuzi wa Kimfumo wa Uhakiki (CFA)
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	1978–1982	1969
Mwanzilishi	Gerhard N. Masters (Partial Credit Model); David Andrich (Rating Scale Model)	Karl Gustav Jöreskog
Aina	Item response model	Hypothesis-testing latent variable model
Chanzo asilia	Masters, G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47(2), 149–174.	Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202.
Majina mbadala	PRM, Rating Scale Model, Partial Credit Model, Polytomous IRT Rasch	CFA, confirmatory FA, measurement model, restricted factor analysis
Zinazohusiana	6	4
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.	Confirmatory factor analysis tests a researcher-specified factor structure against observed data. Unlike exploratory approaches, the researcher decides in advance which indicators load on which latent factor, and the model is evaluated by how closely the implied covariance matrix reproduces the sample covariance matrix. CFA is central to scale validation, construct validity assessment, and measurement invariance testing.