A Bayesian Hierarchical Model of Trial-to-Trial Fluctuations in Decision Criterion

Robin Vloeberghs, Anne E. Urai, Kobe Desender, Scott W. Linderman
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Abstract

Classical decision models assume that the parameters giving rise to choice behavior are stable, yet emerging research suggests these parameters may fluctuate over time. Such fluctuations, observed in neural activity and behavioral strategies, have significant implications for understanding decision-making processes. However, empirical studies on fluctuating human decision-making strategies have been limited due to the extensive data requirements for estimating these fluctuations. Here, we introduce hMFC (Hierarchical Model for Fluctuations in Criterion), a Bayesian framework designed to estimate slow fluctuations in the decision criterion from limited data. We first showcase the importance of considering fluctuations in decision criterion: incorrectly assuming a stable criterion gives rise to apparent history effects and underestimates perceptual sensitivity. We then present a hierarchical estimation procedure capable of reliably recovering the underlying state of the fluctuating decision criterion with as few as 500 trials per participant, offering a robust tool for researchers with typical human datasets. Critically, hMFC does not only accurately recover the state of the underlying decision criterion, it also effectively deals with the confounds caused by criterion fluctuations. Lastly, we provide code and a comprehensive demo to enable widespread application of hMFC in decision-making research.
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决策标准逐次试验波动的贝叶斯层次模型
经典决策模型假定导致选择行为的参数是稳定的,然而新的研究表明,这些参数可能会随着时间的推移而波动。从神经活动和行为策略中观察到的这种波动对理解决策过程具有重要意义。然而,由于估算这些波动需要大量数据,对波动的人类决策策略的实证研究一直很有限。在此,我们介绍 hMFC(标准波动层次模型),这是一个贝叶斯框架,旨在从有限的数据中估计决策标准的缓慢波动。我们首先展示了考虑决策标准波动的重要性:错误地假设一个稳定的标准会产生明显的历史效应,并低估感知灵敏度。然后,我们介绍了一种分层估算程序,该程序能够可靠地恢复波动决策标准的基本状态,每个参与者只需进行 500 次试验,为研究人员提供了一种使用典型人类数据集的可靠工具。重要的是,hMFC 不仅能准确恢复决策标准的基本状态,还能有效处理标准波动造成的混淆。最后,我们还提供了代码和综合演示,以便在决策研究中广泛应用 hMFC。
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