One Bias Score, Two Factors: How Mitigations Affect Option Bias in Multiple-Choice Evaluation

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Summary

这篇论文将多选题评测中的选择偏差和顺序敏感性分解为翻转率(flip rate)和位置偏斜(positional skew)两个因素,并发现先验校正主要降低位置偏斜,而顺序聚合主要降低翻转率,建议同时报告这两个因素以区分缓解效果。

Reordering multiple-choice options can change a model's answer, an effect studied as selection bias (a preference for certain option letters) and as order sensitivity (changes in answers across option orderings). We connect these perspectives through the pooled selection-rate standard deviation (pooled SD), which measures how unevenly option letters are selected across questions and orderings. When every option of each question appears equally often at each position, the pooled SD is exactly the product of two label-free factors: the flip rate and the positional skew. The flip rate is the fraction of questions whose chosen option changes across orderings; the positional skew is the standard deviation of option-letter selection rates among those questions. Across 41 checkpoints and 12 benchmarks, the flip rate tracks accuracy and output uncertainty, while the positional skew tracks the estimated option-symbol prior. Prior correction for selection bias mainly reduces the positional skew. Aggregating each ordering with its reversal, a mitigation for order sensitivity, mainly reduces the flip rate. Both reduce the range of accuracy across correct-answer letters by similar amounts, but aggregation leaves fewer model-rank reversals. Applying prior correction before aggregation reduces both factors and further narrows this accuracy range. However, aggregation lowers the flip rate partly by settling questions on the same wrong option. We therefore recommend reporting both factors to distinguish mitigation effects, alongside accuracy to distinguish stability from correctness.
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Source: https://huggingface.co/papers/2610.20993

Abstract

Selection bias and order sensitivity in multiple-choice models are decomposed into flip rate and positional skew via pooled standard deviation, showing that prior correction and aggregation target different factors and should be reported together with accuracy.

Reordering multiple-choice options can change a model’s answer, an effect studied asselection bias(a preference for certain option letters) and asorder sensitivity(changes in answers across option orderings). We connect these perspectives through thepooled selection-rate standard deviation(pooled SD), which measures how unevenly option letters are selected across questions and orderings. When every option of each question appears equally often at each position, the pooled SD is exactly the product of two label-free factors: theflip rateand thepositional skew. Theflip rateis the fraction of questions whose chosen option changes across orderings; thepositional skewis the standard deviation of option-letter selection rates among those questions. Across 41 checkpoints and 12 benchmarks, theflip ratetracks accuracy and output uncertainty, while thepositional skewtracks the estimated option-symbol prior.Prior correctionforselection biasmainly reduces thepositional skew. Aggregating each ordering with its reversal, a mitigation fororder sensitivity, mainly reduces theflip rate. Both reduce the range of accuracy across correct-answer letters by similar amounts, butaggregationleaves fewer model-rank reversals. Applyingprior correctionbeforeaggregationreduces both factors and further narrows this accuracy range. However,aggregationlowers theflip ratepartly by settling questions on the same wrong option. We therefore recommend reporting both factors to distinguish mitigation effects, alongside accuracy to distinguish stability from correctness.

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