Yen.OPI {subscore}

Estimating true subscores using Yen's OPI

Description

This function estimates subscores using Yen's Objective Performance Index (OPI; Yen, 1987) <https://www.ets.org/research/policy_research_reports/publications/paper/1987/hrap>. Yen's OPI (Yen, 1987) is a procedure combining Bayesian method and item response theory (IRT; Embretson & Reise, 2000 <https://psycnet.apa.org/record/2000-03918-000>; Reckase, 1997 <doi: 10.1177/0146621697211002>). This method pulls an examinee's performance on a certain objective (i.e., subscale) towards his/her total test performance in order to get a more stable and precise objective subscore estimate.

Usage

Yen.OPI(test.data)

Arguments

test.data

A list that contains item responses of all subtests and the entire test, which can be obtained using function 'data.prep'.

Value

summary

It contains statistical summary of OPI (mean & sd).

OPI

Estimated OPI values

References

Embretson, S. E., & Reise, S. P. (2013). "Item response theory". Mahwah, NJ: Lawrence Erlbaum Associates, Inc. https://psycnet.apa.org/record/2000-03918-000.

Reckase, M. D. (1997). "The past and future of multidimensional item response theory". Applied Psychological Measurement, 21(1), 25-36. doi: 10.1177/0146621697211002.

Yen, W. M. (1987, June). "A Bayesian/IRT index of objective performance". Paper presented at annual meeting of the Psychometric Society, Montreal, Quebec, Canada. https://www.ets.org/research/policy_research_reports/publications/paper/1987/hrap.

Examples

 
        test.data<-data.prep(scored.data,c(3,15,15,20),
                             c("Algebra","Geometry","Measurement", "Math"))
        
        Yen.OPI(test.data)