A Parametric Cumulative Sum Statistic for Person Fit  

Oleh:

Armstrong, Ronald D. ; Min, Shi

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Applied Psychological Measurement vol. 33 no. 5 (Jul. 2009), page 391-410.
Topik: aberrancy detection; cheating; test familiarization; guessing near time limit; item response theory model; 3PL model; likelihood ratio; cumulative sum statistic
Fulltext: 391.pdf (884.67KB)

Isi artikel

This article develops a new cumulative sum (CUSUM) statistic to detect aberrant item response behavior. Shifts in behavior are modeled with quadratic functions and a series of likelihood ratio tests are used to detect aberrancy. The new CUSUM statistic is compared against another CUSUM approach as well as traditional person-fit statistics. A simulation study demonstrates the advantage of the proposed method. Also, the person-fit methods are applied to real response data from the administration of a high-stakes exam. The use of CUSUM charts to help visually identify types of aberrant behavior is demonstrated.

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