Wenchao Ma, Miguel A. Sorrel, Xiaoming Zhai, Yuan Ge

A Dual‐Purpose Model for Binary Data: Estimating Ability and Misconceptions

  • Psychology (miscellaneous)
  • Applied Psychology
  • Developmental and Educational Psychology
  • Education
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AbstractMost existing diagnostic models are developed to detect whether students have mastered a set of skills of interest, but few have focused on identifying what scientific misconceptions students possess. This article developed a general dual‐purpose model for simultaneously estimating students' overall ability and the presence and absence of misconceptions. The expectation‐maximization algorithm was developed to estimate the model parameters. A simulation study was conducted to evaluate to what extent the parameters can be accurately recovered under varied conditions. A set of real data in science education was also analyzed to examine the viability of the proposed model in practice.

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