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Levine and Drasgow (1988) suggested an approach based on the Neyman-Pearson lemma to detect examinees whose response patterns are "aberrant" due to cheating, language issues, and so on. Belov (2016) used the approach of Levine and Drasgow (1988) to suggest a statistic based on the Neyman-Pearson Lemma (SBNPL) to detect item preknowledge when the investigator knows which items are compromised. This brief report proves that the SBNPL of Belov (2016) is equivalent to a statistic suggested for the same purpose by Drasgow, Levine, and Zickar 20 years ago.

On the Equivalence of a Likelihood Ratio of Drasgow, Levine, and Zickar (1996) and the Statistic Based on the Neyman–Pearson Lemma of Belov (2016)