Mathematical Modeling of Perception and Decision Making

Any perceptual experiment that requires an overt response produces data that is, at least in part, the product of decision making on the part of the experimental subjects. Data produced by a combination of perceptual and decisional processes should be analyzed with appropriate tools. Mathematical models of perception and decision making are one such tool.

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Auditory Perception

I use a variety of mathematical models to study multidimensional auditory perception. My current work employs General Recognition Theory (GRT, a.k.a. Multidimensional Signal Detection Theory) to investigate relationships between acoustic dimensions in complex non-speech sounds and between phonological dimensions in consonants.

Click here for Matlab code and more information on auditory perception.

Speech Production

The study of speech perception requires at least a basic understanding of speech production. Thus, although it is not my primary research interest, I have designed and run some experiments on various aspects of speech production.

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Statistics

Virtually all psychological or phonetic research requires statistical analysis of one kind or another. Statistical analysis plays a central role in my use of mathematical models. I am also interested in statistics (and modeling) pedagogy.

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