A Mixture Fluency model using responses and response times with cognitive diagnosis model framework

Random guessing behaviors are frequently observed in low-stakes assessments, often attributed to factors such as test-takers lacking motivation or experiencing time constraints and fatigue. Existing research suggests that responses stemming from random guessing behaviors introduce biases into the constructs and relationships of interest. This is particularly problematic when estimating the relationship between speed and ability. This study introduces a Mixture Fluency model designed to account for random guessing behaviors while utilizing valid response accuracy and response time to uncover students' latent attribute profiles. The model directly addresses a limitation present in the Fluency cognitive diagnostic model (Wang & Chen, Psychometrika, 85, 600-629, (2020), which assumes that test-takers consistently employ solution behaviors when answering questions. To investigate the effectiveness of the proposed Mixture Fluency model, we conducted a simulation study encompassing various simulation conditions. Results from this study not only confirm the model's ability to detect potential random guessing behaviors but also demonstrate its capacity to enhance the inference of targeted latent constructs within the assessment. Additionally, we showcase the practical utility of the proposed model through an application to real data.