Yen.Q3 {subscore}

Computing Yen's Q3 statistic for unidimensional Rasch, 1-, 2-, and 3-PL logistic IRT models

Description

This function calculates Yen's Q3 statistics as introduced in Yen (1984) <doi: 10.1177/014662168400800201> and Yen (1993) <doi: 10.1111/j.1745-3984.1993.tb00423.x> for unidimensional Rasch, 1-, 2-, and 3-PL logistic IRT models to assess the local independence assumption.

Usage

Yen.Q3(scored.data, IRT.model = "2pl")

Arguments

scored.data

Item response data with rows as individuals and columns as items.

IRT.model

IRT model ('Rasch', '1pl', '2pl', or '3pl') to be used.The default option is 2pl.

Value

Q3

A matrix of Q3 statistics

Q3.weighted

A matrix of Q3 statistics as obtained by weighting the residual values to reflect the number of examinees with each response pattern.

References

Yen, W. M. (1984). "Effects of local item dependence on the fit and equating performance of the three-parameter logistic model." Applied Psychological Measurement, 8(2), 125-145. doi: 10.1177/014662168400800201.

Yen, W. M. (1993). "Scaling performance assessments: Strategies for managing local item dependence. " ournal of educational measurement, 30(3), 187-213. doi: 10.1111/j.1745-3984.1993.tb00423.x.

Examples

 
        Yen.Q3(scored.data,IRT.model="2pl")
        
        Yen.Q3(scored.data)$Q3
        Yen.Q3(scored.data)$Q3.weighted