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Extracting human reaction time from Observations in the Method of Constant Stimuli

Journal of Applied Mathematics and Physics 2022年第11期10卷 3316-3345页

作者： Hongyun Wang Maryam Adamzadeh Wesley A. Burgei Shannon E. Foley Hong Zhou Department of Applied Mathematics University of California Santa Cruz CA USA U.S. Department of Defense Joint Intermediate Force Capabilities Office Quantico VA USA Department of Applied Mathematics Naval Postgraduate School Monterey CA USA

We consider the psychophysical experiments in which the test subject’s binary reaction is determined by the prescribed exposure duration to a stimulus and a random variable subjective threshold. For example, when a subject is exposed to a millimeter wave beam for a prescribed duration, the occurrence of flight action is binary (yes or no). In experiments, in addition to the binary outcome, the actuation time of flight action is also recorded if it occurs;the delay from the initiation time to the actuation time of flight action is the human reaction time, which is not measurable. In this study, we model the random subjective threshold as a Weibull distribution and formulate an inference method for estimating the human reaction time, from data of prescribed exposure durations, binary outcomes and actuation times of flight action collected in a sequence of tests. Numerical simulations demonstrate that the inference of human reaction time based on the Weibull distribution converges to the correct value even when the underlying true model deviates from the inference model. This robustness of the inference method makes it applicable to real experimental data where the underlying true model is unknown.

关键词： Method of Constant Stimuli Psychophysical Experiments Binary Outcome Biovariability Subjective Threshold human reaction time

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