The model assumes: (1) that categorization of a stimulus continuum xl,xi+1…,xn is made according to whether the stimuli fall above or below a decision “boundary,” xB, i < B < n; that discrimination between any two stimulus values, xp, xr, of the continuum is based on the physical parameter φ, where φ = |xp − xr|/|xr − xB|; xp, is the member of the stimulus pair that is proximal to the boundary, and xr the one that is remote from it. That is, discrimination is based on the distance between the pair of stimuli, proportional to the distance between the boundary and the remote stimulus of the pair. For both speech and nonspeech continua it is found that, given a distance |xp − xr|, the parameter φ reaches a sharp maximum for stimuli near the boundary, xB, and decreases monotonically as the distance between the remote stimulus of the pair and the boundary increases. The model was used to predict discrimination data for VOT [Wood, J. Acoust. Soc. Am. 60, 1381–1389 (1976); Elman, J. Acoust. Soc. Am. 65, 190–207 (1979)], onset of F2 transition and duration of stop closure [Elman, ibid.), and noise‐buzz sequences [Miller et al., J. Acoust. Soc. Am. 60, 410–417 (1976)]. For most of these data, discriminability appeared to be an increasing function of φ. A corollary of the model is that enhanced discriminability around the boundary is a consequence of the listener adopting such boundary, rather than vice versa. [Supported by NRC Postdoctoral Fellowship to the author.]
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