The Error Correction Model for the Tracking of a Random Metronome: Statistical Properties and an Empirical Test
The Error Correction Model for the Tracking of a Random Metronome: Statistical Properties and an Empirical Test
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随机节拍器跟踪的误差校正模型：统计特性和经验测试
DOI：
10.1007/978-94-017-3536-0_29
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
H. Schulze
中科院分区：
文献类型：
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作者：
H. Schulze
已经提出了各种策略来模拟节拍器敲击的行为。两种类型的模型，节拍器复位和响应复位模型已被建议考虑同步。此外，假设下一个响应的时间被前一个同步错误修改。harry和Moore（1987a）提出了一种混合重置模型，其中这些事件之间存在随机切换。本文的目的是推导响应和误差时间的自协方差和交叉协方差函数的统计性质，并进行实验检验。分析的理论结果是响应和节拍器复位模型是等效的，更复杂的混合复位模型预测的自协方差和交叉协方差与简单策略相同。经验结果表明，除了节拍器的周期为200 ms的快速速率外，简单误差校正模型对数据的解释相当好。
Various strategies have been proposed for modeling the behavior of tapping with a metronome. Two types of models, metronome reset and response reset models have been suggested to account for synchronization. Moreover, it is assumed that the timing of the next response is modified by the previous error of synchronization. Hary and Moore(1987a) have suggested a mixed reset model in which there is a random switching between these events. The purpose of this paper is to derive the statistical properties in terms of auto-and cross-covariance functions of the response and error times and to perform an experimental test. The theoretical result of the analysis is that response and metronome reset models are equivalent and that the more complicated mixed reset model predicts the same auto- and cross covariances as the simple strategies. The empirical result is that the simple error correction model accounts reasonably well for the data, except for the fast rate of the metronome with a period of 200 ms.