arXiv Machine Learning By Shaohuai Feng, Mohd Wira Mohd Shafiei, Mohd Sukri Shafie, Siyang Tian

When Respondents Are Scarce: LLM-Derived Semantic Priors for Bayesian Confirmatory Factor Analysis

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The paper introduces the Semantic‑Empirical Updating Framework (SEUF), which uses large language model paraphrases and embeddings aligned with hypothesized item‑factor assignments to create prespecified priors for Bayesian confirmatory factor analysis. In experiments with a 38‑item survey and two public surveys (FEVS and RIASEC), SEUF maintained semantic structure after wording controls and achieved comparable loading precision with 50 respondents to conventional CFA with 70–82 respondents, reducing required sample size by 29–39%. The approach yielded lower loading errors and better credible‑interval coverage, especially when respondent data were scarce, demonstrating the benefit of incorporating semantic priors in small‑sample measurement.

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