A study investigated the effectiveness of the Rasch procedure in measuring response appropriateness, especially for the detection of cheating on multiple-choice language tests. The report gives background information on appropriateness measurement and its potential uses, reviews recent research on cheating and its detection, and describes three contrived studies, one involving English as a second language (ESL), to determine the Rasch model's usefulness. While the Rasch one-parameter model can detect some aberrations on test response due to cheating, the study of ESL cheating highlights its limitations in pinpointing cheating as contrasted with other causes of inappropriate responses. Further research into both evaluation inequities and cheating is recommended. (MSE)