When learning conditional discriminations, it is possible that faulty sources of control develop and interfere with acquisition. In 2021, Bergmann et al. reported the effects of different integrity levels (i.e., to what degree an intervention is implemented correctly) on undergraduate students' mastery of an arbitrary matching to sample task. They found that participants in the reduced integrity conditions at or below 80% were more likely to show stimulus biases (i.e., selecting a particular incorrect stimulus in the presence of a sample stimulus) than participants in integrity conditions at or above 85%. Bergmann et al. did not investigate whether participants were likely to show responding that was biased by position. A position bias is a type of faulty stimulus control that involves allocating more responses to one or a few positions (e.g., first, second, middle, left). We conducted a secondary analysis of data from Bergmann et al., and we used a chi-square goodness of fit test to identify which participants showed a position bias. We found 25 participants out of 168 with potential position biases. We used a chi-square test of independence to analyze the distribution of participants with biased responding by condition and did not find a statistically significant difference. We discussed potential explanations for these findings and describe connections to behavior-analytic practice.