Error correction processes in temporal pattern production
Journal of Mathematical Psychology
Time Series Analysis, Forecasting and Control
Time Series Analysis, Forecasting and Control
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A stochastic model for synchronization with a metronome is analyzed which generalizes Wing and Kristofferson's (1973a, 1973b) two-level model for tapping. The model includes a motor component, a timekeeper component, and a linear phase error correction mechanism. The model's predictions of the asymptotic dependence structure of the synchronization errors and interresponse intervals are derived. Problems of identifiability and estimation of parameters are discussed.