This article extends the work by Armstrong and Shi on CUmulative SUM (CUSUM) person-fit methodology. The authors present new theoretical considerations concerning the use of CUSUM person-fit statistics based on likelihood ratios for the purpose of detecting cheating and random guessing by individual test takers. According to the Neyman-Pearson…

Four testing schemes are outlined: post-test only, pretest/post-test, the Individually Prescribed Instruction (IPI) Model, and the EIPI Model which takes into account the learning style and the psychosocial background of the learner. The EIPI model has three phases: placement, counseling, and intervention. (RAO)