利用新型可扩展性系数高效检测不良基准测试项 / Efficient Detection of Bad Benchmark Items with Novel Scalability Coefficients
1️⃣ 一句话总结
这篇论文提出了一种名为‘带符号等渗R²’的新方法,它能像一把快速扫描的尺子,从成千上万的测试题中高效、准确地揪出那些有问题的题目(比如答案错误、表述模糊或偏离考察目标),而无需事先假设数据的具体数学形式,特别适合处理人工智能评估中常见的数据量少但题目多的复杂情况。
The validity of assessments, from large-scale AI benchmarks to human classrooms, depends on the quality of individual items, yet modern evaluation instruments often contain thousands of items with minimal psychometric vetting. We introduce a new family of nonparametric scalability coefficients based on interitem isotonic regression for efficiently detecting globally bad items (e.g., miskeyed, ambiguously worded, or construct-misaligned). The central contribution is the signed isotonic $R^2$, which measures the maximal proportion of variance in one item explainable by a monotone function of another while preserving the direction of association via Kendall's $\tau$. Aggregating these pairwise coefficients yields item-level scores that sharply separate problematic items from acceptable ones without assuming linearity or committing to a parametric item response model. We show that the signed isotonic $R^2$ is extremal among monotone predictors (it extracts the strongest possible monotone signal between any two items) and show that this optimality property translates directly into practical screening power. Across three AI benchmark datasets (HS Math, GSM8K, MMLU) and two human assessment datasets, the signed isotonic $R^2$ consistently achieves top-tier AUC for ranking bad items above good ones, outperforming or matching a comprehensive battery of classical test theory, item response theory, and dimensionality-based diagnostics. Crucially, the method remains robust under the small-n/large-p conditions typical of AI evaluation, requires only bivariate monotone fits computable in seconds, and handles mixed item types (binary, ordinal, continuous) without modification. It is a lightweight, model-agnostic filter that can materially reduce the reviewer effort needed to find flawed items in modern large-scale evaluation regimes.
利用新型可扩展性系数高效检测不良基准测试项 / Efficient Detection of Bad Benchmark Items with Novel Scalability Coefficients
这篇论文提出了一种名为‘带符号等渗R²’的新方法,它能像一把快速扫描的尺子,从成千上万的测试题中高效、准确地揪出那些有问题的题目(比如答案错误、表述模糊或偏离考察目标),而无需事先假设数据的具体数学形式,特别适合处理人工智能评估中常见的数据量少但题目多的复杂情况。
源自 arXiv: 2603.24999