Table 5.

Summary of Item Response Theory data (Rasch test).

Variables	Index	Value
Dichotomic	EAP reliability.	0.52	●The reliability score test to characterize the latent factor structure of the set of binary and ordered-category variables
	WLE reliability.	−0.49
	Andersen LR test	22.32	● Andersen likelihood ratio test for the goodness of fit of the Rasch model.
	p	0.81
	D1-Infit-t	−1.07	●The measurement of infit and outfit in Rasch analysis refers to the ability of the data to fit a measurement model. The infit refers to the fits of the data to the expected distribution. Infit values are often used to detect anomalous patterns in the data, such as erroneous responses or over-responses. Outfit values, on the other hand, are used to assess the predictive ability of the data. It refers to the fits of the data to the structured, default distribution.
	D2-Infit-t	−2.84
	D3-Infit-t	−2.03
	D1-Outfit-t	−1.12
	D2-Outfit-t	−2.75
	D3-Outfit-t	−3.09	●Standardised infit and outfit (-t or Z) acceptable values range −1.9 to +1.9. Over 2 data are unpredictable. Data under −2 are too predictable.
	Beta-D1 (0.95CI)	−1.39
	Beta-D2 (0.95CI)	−0.91
	Beta-D3 (0.95CI)	2.29
	D1-Dffclt	−1.40	●Dffclt and Dscrm are both measures of difficulty in Rasch analyses. Both measures can be used to assess the difficulty level of a particular item, as well as the ability of individuals to respond to different difficulty levels. Dffclt is the difficulty level of a particular item on a measure, and Dscrm is the ability of an individual to discriminate between items of different difficulty levels.
	D1-Dscrmn	4.56
	D1-P(x = 1|z = 0)	1.00
	D2-Dffclt	−1.31
	D2-Dscrmn	4.56	●P(x = 1|z = 0) is the probability that a person with a z-score of 0 will have an x-score of 1. This probability is determined by the person's ability level and the difficulty of the item. In this case the probabilities are around 1 in the three cases.
	D2-P(x = 1|z = 0)	1.00
	D3-Dffclt	−0.53
	D3-Dscrmn	4.56
	D3-P(x = 1|z = 0)	0.92
Polytomous	EAP reliability.	0.95
	WLE reliability.	0.94