2015
DOI: 10.3758/s13428-015-0591-2
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Estimating the distribution of sensorimotor synchronization data: A Bayesian hierarchical modeling approach

Abstract: The sensorimotor synchronization paradigm is used when studying the coordination of rhythmic motor responses with a pacing stimulus and is an important paradigm in the study of human timing and time perception. Two measures of performance frequently calculated using sensorimotor synchronization data are the average offset and variability of the stimulus-to-response asynchronies-the offsets between the stimuli and the motor responses. Here it is shown that assuming that asynchronies are normally distributed whe… Show more

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Cited by 12 publications
(12 citation statements)
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“…For each tap, tone-to-tap asynchrony was calculated as the time difference between the tone and the tap, a negative asynchrony indicating that the tap preceded the tone and vice versa. Asynchrony SD was taken as a measure of timing variability and it was estimated for each participant and ISI level using the Bayesian hierarchical method described in Bååth (2015). Timing variability is here used as a measure of performance in the sensorimotor synchronization task with low variability taken to indicate high performance.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…For each tap, tone-to-tap asynchrony was calculated as the time difference between the tone and the tap, a negative asynchrony indicating that the tap preceded the tone and vice versa. Asynchrony SD was taken as a measure of timing variability and it was estimated for each participant and ISI level using the Bayesian hierarchical method described in Bååth (2015). Timing variability is here used as a measure of performance in the sensorimotor synchronization task with low variability taken to indicate high performance.…”
Section: Discussionmentioning
confidence: 99%
“…For ISIs shorter than 1500 ms participants tend to produce few reactive taps (Repp and Doggett, 2007) and the Bayesian estimates will be highly similar to sample SD estimates. At longer ISIs participants tend to produce more reactive taps and the sample SD will underestimate the timing variability (Bååth, 2015). The Bayesian method corrects for this by discarding the information from the reactive taps and produces an estimate of asynchrony SD using only the information from the anticipatory taps.…”
Section: Discussionmentioning
confidence: 99%
“…While the WK model explains two important variances, it does not explain the offset between stimulus and tapping, which also changes with IOI [27,29]. A Bayesian model of human timing [2,41,1] provides an explanation to the varying aim point in synchronisation. It explains this as statistical self-correction occurring between taps when a person is trying to maximise performance for a given loss function.…”
Section: Synchronisationmentioning
confidence: 99%
“…This assumption is a limitation: anticipatory timing does not grow indefinitely as a function of IOI. Experiments where humans synchronize taps with a metronome of IOIs longer than 3500ms show that some taps precede the stimulus while others follow it, reducing the mean asynchrony [3], or even showing mean positive asynchronies for IOIs greater than 5000ms [5]. Hence, the relationship between metronome IOI and human asynchronies are clearly non-linear.…”
Section: Discussionmentioning
confidence: 99%
“…However, the asynchronies vary widely and can be positive, on average, for an individual tapping with IOIs longer than 2000ms [2]. For IOIs greater than 2000ms, asynchronies may show a bimodal distribution; some taps precede the stimulus while others follow it, with longer IOIs resulting in more taps that follow the stimulus and fewer that precede it [3]. The anticipation tendency is influenced by musical experience, as tap timing in musicians is closer to the stimulus than that in non-musicians for IOIs between 1000ms and 3500ms [4].…”
Section: Introductionmentioning
confidence: 99%