Abstract
The [Formula: see text] statistic (Drasgow etal. in Br J Math Stat Psychol 38:67-86, 1985) is one of the most popular person-fit statistics (Armstrong etal. in Pract Assess Res Eval 12(16):1-10, 2007). Snijders (Psychometrika 66:331-342, 2001) derived the asymptotic null distribution of [Formula: see text] when the examinee ability parameter is estimated. He also suggested the [Formula: see text] statistic, which is the asymptotically correct standardized version of [Formula: see text]. However, Snijders (Psychometrika 66:331-342, 2001) only considered tests with dichotomous items. In this paper, the asymptotic null distribution of [Formula: see text] is derived for mixed-format tests (those that include both dichotomous and polytomous items). The asymptotically correct standardized version of [Formula: see text], which can be considered as the extension of [Formula: see text] to such tests, is suggested. The TypeI error rate and power of the suggested statistic are examined from several simulated datasets. The suggested statistic is computed using a real dataset. The suggested statistic appears to be a satisfactory tool for assessing person fit for mixed-format tests.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
