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In many assessment situations that use a constructed-response (CR) item, an examinee’s response is evaluated by one rater, and only some of the responses are reviewed by second raters: namely back-readings. The present study explores a Bayesian approach for the issues that arise in sparse rater designs within the context of a latent class version of signal detection theory (LC-SDT). This approach provides a model for rater cognition in CR scoring and offers measures of rater reliability and various rater effects. Simulation results showed that the Bayesian approach gave useful results; estimation of the parameters was moderate, except for small sample sizes. The paper also showed the utility of LC-SDT models in the PIRLS USA reliability data to review rater performance.