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Diagonal d' does not (always) diagnose failure of separability: An addendum to
Noah H Silbert1, Kenneth J de Jong, Robin D Thomas
1Department of Linguistics Department of Cognitive Science Indiana University, Bloomington.
Journal of Phonetics
|February 18, 2010
Summary
This study explores the covariance structure in multidimensional detection theory, a key aspect missing from prior phonological contrast research. Two perceptual density configurations explain existing findings, suggesting new empirical approaches are needed.
Area of Science:
- Psychoacoustics
- Auditory Perception
- Phonetics
- Signal Detection Theory
Background:
- Kingston et al. (2008) analyzed phonological contrasts using detection theory.
- Their work focused on the internal auditory structure of speech sounds.
- A crucial element, the covariance structure of perceptual densities, was not examined.
Purpose of the Study:
- To investigate the unexplored covariance structure in multidimensional detection theory.
- To re-evaluate Kingston et al.'s findings on phonological contrasts.
- To propose alternative models for perceptual densities in auditory perception.
Main Methods:
- Discussion of Kingston et al.'s experimental design and analysis.
- Application of a general definition of multidimensional d' (d-prime).
- Modeling of two distinct multivariate Gaussian perceptual density configurations.
Main Results:
- Two configurations of perceptual densities equally explain the 'mean-shift integrality' results.
- These configurations necessitate fundamentally different interpretations of auditory perception.
- The covariance structure significantly impacts the understanding of perceptual densities.
Conclusions:
- The covariance structure is critical for a complete understanding of multidimensional detection theory in phonetics.
- Existing data can be explained by distinct underlying perceptual models.
- Empirical methods are needed to differentiate between these proposed perceptual configurations.
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