Journal Article: A receptor model for binary mixtures applied to the sweetness of fructose and glucose: De Graaf and Frijters revisited (1989)

Abstract: Assuming that two substances (e.g. tastants or odorants) share a common type of receptor, a binary mixture model is derived from the equations for the equilibrium constants for the separate and combined reactions of the substances and the hypothesized receptors). It is assumed that a multimolecular interaction between stimulant molecules and a receptor...

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Journal Article: Decision conflicts: Within-trial resampling in Richardson’s method of triads (1989)

Abstract: A unidimensional model is derived which can provide the probability that the same two stimuli will be perceived to be most alike and most different in Richardson's method of triads under the assumption that resampling occurs within a trial. This probability is shown to depend on the extent to which the stimulus distributions overlap and...

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Journal Article: The perceptual similarity of substituted benzenes and pyridines as a function of steric hindrance (1989)

Abstract: Differences between the odor percepts of 10 1,3-dialkylbenzenes and 10 2,6-dialkylpyridines are based mainly on two perceptual dimensions. The overall perceptual similarity of the identically substituted benzene/pyridine pairs seems to depend on accessibility to the pyridine nitrogen atom and steric hindrance to the aromatic ring in a non-monotonic way. However, a linear relationship...

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Journal Article: Variants of the method of triads: Unidimensional Thurstonian models (1988)

Abstract: This paper deals with a theory for two variants of the method of triads —Torgerson’s and Richardson’s methods. For both methods, the relationship between the decision probabilities and the parameters of  the momentary psychological magnitudes is derived under the assumption that these magnitudes can be modelled as if they were drawn from normal...

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Journal Article: Models for the duo-trio and triangular methods (1988)

Abstract: Duo-trio and triangular method models by Ura (1960, Japanese Union of Scientists and Engineers 7, 107-1 19) and David and Trivedi (unpublished Technical Report #55, Department of Statistics, Virginia Polytechnic Institute, 1962) for examining perceptual processes have proven to be very useful, but are limited to univariate phenomena. Recent Monte Carlo studies by...

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Journal Article: A multidimensional stochastic theory of similarity (1988)

Abstract: A multidimensional theory of similarity on which the mental representations of stimulus objects are assumes to be drawn from multivariate normal distributions is described. A distance-based similarity function is defined and the expected value of similarity is derived. This theory is the basis for a possible explanation of paradoxical results with highly similar...

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Journal Article: Confusable and discriminable stimuli: Comments on Nosofsky (1986) and Shepard (1986) (1988)

Abstract: Nosofsky (1986) modeled identification and categorization performance with highly similar stimuli by using a model involving a "Gaussian" relationship between similarity and Euclidean distance. Nosofsky found that this model fitted his data better than a model involving similarity as an exponential decay function of city-block distance. Nosofsky's stimuli evoked independent perceptual dimensions. Shepard...

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Journal Article: Multivariate sensory analysis (1988)

Abstract: The application of multivariate analysis techniques-- such as factor analysis, cluster analysis, discrimination analysis, and multidimensional scaling-- to data reduction and classification problems in sensory analysis has been the subject of theoretical and practical interest for a number of years (Woskow, 1964; Schiffman, 1974; Godwin et al., 1978; Clapperton and Piggott, 1979; Ennis...

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Journal Article: Mathematical formulation of multivariate Euclidean models for discrimination methods (1987)

Abstract: Multivariate models for the triangular and duo-trio methods are described in this paper. In both cases, the mathematical formulation of Euclidean models for these methods is derived and evaluated for the bivariate case using numerical quadrature. Theoretical results are compared with those obtained using Monte Carlo simulation which is validated by comparison with...

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Journal Article: The integration of the multivariate normal density function for the triangular method (1987)

Abstract: The model involved in the triangular method is presented, which leads to the need for evaluating a multidimensional integral of the multidimensional normal density function over an irregular region. Work done on the numerical evaluation of this integral is discussed. This article appears as: Kapenga, J.A, Mullen, K, de Doncker, E., and Ennis,...

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