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Hierarchical Bayesian Crowdsourcing with Item Difficulty
[Submitted on 29 May 2024 (v1), last revised 3 Jul 2026 (this ve · 2024-05-30 · via cs.LG updates on arXiv.org

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Abstract:In applied statistics and machine learning, the gold standards used for training are often biased and almost always noisy. Dawid and Skene's justifiably popular crowdsourcing model adjusts for rater sensitivity and specificity, but fails to capture distributional properties of rating data gathered for training, which in turn biases training. In this study, we introduce a general purpose measurement-error model with which we can infer consensus categories by adding item-level effects for difficulty, discriminativeness, and guessability. We further show how to constrain the bimodal posterior of these models to avoid adversarial raters. We validate our model's goodness of fit with posterior predictive checks, the Bayesian analogue of $\chi^2$ tests, and assess its predictive accuracy using leave-one-out cross-validation. We illustrate our new model with two well-studied data sets, binary rating data for caries in dental X-rays and implication in natural language.

Submission history

From: Seong Woo Han [view email]
[v1] Wed, 29 May 2024 20:59:28 UTC (193 KB)
[v2] Mon, 21 Oct 2024 18:43:27 UTC (200 KB)
[v3] Fri, 3 Jul 2026 08:18:36 UTC (122 KB)