From Zero to Sixty: Calibrating Real-Time Responses |
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Authors: | Theodoro Koulis James O Ramsay Daniel J Levitin |
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Institution: | (1) Department of Psychology, McGill University, Montreal, Quebec, Canada |
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Abstract: | Recent advances in data recording technology have given researchers new ways of collecting on-line and continuous data for
analyzing input-output systems. For example, continuous response digital interfaces are increasingly used in psychophysics.
The statistical problem related to these input-output systems reduces to linking time-varying covariates to a continuous response
variate. Using real-time data obtained from an experiment in psychoacoustics, we showcase new statistical tools that incorporate
dynamical elements of an input-output system. We employ functional data analysis (FDA) methods and a simple differential equation
to analyze and model the continuous responses. Furthermore, we outline the issues involved in analyzing input-output systems
when the exact form of the underlying mathematical model is not known. Finally, we develop a calibration method to facilitate
inter-subject and intra-subject comparisons.
This work was supported by grants from the National Sciences and Engineering Research Council (NSERC) to J. O. Ramsay and
to D. J. Levitin, and by a grant from the Social Sciences and Humanities Research Council (SSHRC) to D. J. Levitin.
We would like to thank Bennett Smith for designing and implementing the software used to conduct the pitch tracking experiment.
Also, we wish to thank the research assistants in the Levitin Laboratory involved in the data collection: Catherine Chapados,
Andrew Schaaf and Carla Himmelman. We would also like to acknowledge Giles Hooker’s work on implementing the generalized profiling
software used within this paper. |
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Keywords: | input-output functional data analysis real-time data differential equations response calibration |
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