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The counterintuitive impact of responses and response times on parameter estimates in the drift diffusion model.
British Journal of Mathematical and Statistical Psychology ( IF 1.5 ) Pub Date : 2019-07-21 , DOI: 10.1111/bmsp.12183
Pascal Jordan 1
Affiliation  

Given a drift diffusion model with unknown drift and boundary parameters, we analyse the behaviour of maximum likelihood estimates with respect to changes of responses and response times. It is shown analytically that a single fast response time can dominate the estimation in that no matter how many correct answers a test taker provides, the estimate of the drift (ability) parameter decreases to zero. In addition, it is shown that although higher drift rates imply shorter response times, the reverse implication does not hold for the estimates: shorter response times can decrease the drift rate estimate. In the light of these analytical results, we illustrate the actual impact of the findings in a small simulation for a mental rotation test. The method of analysis outlined is applicable to a broader range of models, and we emphasize the need to further check currently used reaction time models within this framework.

中文翻译:

响应和响应时间对漂移扩散模型中的参数估计有反直觉的影响。

给定具有未知漂移和边界参数的漂移扩散模型,我们针对响应和响应时间的变化分析最大似然估计的行为。从分析上显示,单个快速响应时间可以主导估计,因为无论应试者提供多少正确答案,漂移(能力)参数的估计都将减小为零。此外,还表明,尽管较高的漂移速率意味着响应时间较短,但估计的含义并不适用:较短的响应时间可以降低漂移速率估计值。根据这些分析结果,我们在心理旋转测试的小型模拟中说明了这些发现的实际影响。概述的分析方法适用于更广泛的模型,
更新日期:2019-07-21
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