llm-coding-inference asks how to get valid regression coefficients from LLM-coded text plus a small human audit. The previous step compared in-sample-tuned PPI++ with a cross-fitted version on 1,000 unpaired draws and saw no difference, but the noise (0.7 points) was as big as any plausible effect.
Pairing the estimators on the same audits and using 4,000 draws shrinks the error to about 0.15 points when pooled over coefficients. Result: cross-fitting changes coverage by under 0.3 points, but in-sample tuning does lose against hand-coding alone in a few cells (-0.88 points, 95% interval +-0.4, in two of 15). Both stay near 94% to 95%. Cross-fitting gives some of it back for a 1 to 3% wider interval.
Limits: one corpus, three simple stand-in coders, n = 400, no real LLM coder, no multiplicity correction. Log: research/llm-coding-inference/LOG.md.