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Model‐Free CUSUM Methods for Person Fit
Author(s) -
Armstrong Ronald D.,
Shi Min
Publication year - 2009
Publication title -
journal of educational measurement
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.917
H-Index - 47
eISSN - 1745-3984
pISSN - 0022-0655
DOI - 10.1111/j.1745-3984.2009.00090.x
Subject(s) - cusum , statistic , statistics , item response theory , computer science , goodness of fit , log linear model , econometrics , linear model , mathematics , psychometrics
This article demonstrates the use of a new class of model‐free cumulative sum (CUSUM) statistics to detect person fit given the responses to a linear test. The fundamental statistic being accumulated is the likelihood ratio of two probabilities. The detection performance of this CUSUM scheme is compared to other model‐free person‐fit statistics found in the literature as well as an adaptation of another CUSUM approach. The study used both simulated responses and real response data from a large‐scale standardized admission test.