Journal Article: A general model for preferential and triadic choice in terms of central F distribution functions (1994)

Abstract: A model for preferential and triadic choice is derived in terms of weighted sums of central F distribution functions. This model is a probabilistic generalization of Coombs’ (1964) unfolding model and special cases, such as the model of Zinnes and Griggs (1974), can be derived easily from it. This new form extends previous...

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Journal Article: Preference gives more consistent judgments than oddity only if the task can be modeled as forced choice (1994)

Abstract: Earlier data showed that subjects presented with two samples of distilled water and one of tap water were significantly more consistent in choosing the tap water as preferred than in identifying it as the odd sample in the set. The results were sometimes interpreted as demonstrating greater sensitivity for hedonic judgments than for...

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Journal Article: Triadic discrimination testing: Refinement of Thurstonian and sequential sensitivity analysis approaches (1994)

Abstract: The effect of cognitive search strategies and variations in the oral environment on discrimination test performance were investigated. Subjects were required to discriminate between low concentration NaCl solutions and water using the 3-AFC and triangle test protocols. As predicted by Thurstonian modeling, subjects obtained a higher proportion of correct tests for the 3-AFC...

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Journal Article: A single multidimensional model for discrimination, identification, and preferential choice (1993)

Abstract: Two forms of a mathematical model for tasks involving three alternatives are given. The model can be applied to triad discrimination, preferential choice and two-stimulus identification. In all cases multivariate normal probabilistic assumptions are made with a decision rule based on the smallest Euclidean distance between one of the alternatives and the other...

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Journal Article: Is preferential choice affected by attribute scoring in blind consumer product testing? (1993)

Abstract: This note is a brief overview of a series of mail-out consumer tests designed to study relationships between preference and attribute measures in blind consumer product testing. These studies were conducted among a total of 2,421 consumers in nine ballot designs. The purpose of these experiments was to test the hypothesis that preferential...

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Journal Article: The relative sensitivities of same-different and identification judgment models to perceptual dependence (1993)

Abstract: Probabilistic models of same-different and identification judgments are compared (within each paradigm) with regard to their sensitivity to perceptual dependence or the degree to which the underlying psychological dimensions are correlated. Three same-different judgment models are compared. One is a step function or decision bound model and the other two are probabilistic variants...

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Journal Article: Noncentral and central chi-square, F and beta distribution functions as special cases of the distribution function of an indefinite quadratic form (1993)

Abstract: The distribution functions of central and noncentral chi-square, F and beta random variables are expressed as special cases of the distribution function of an indefinite quadratic form. Some of these distribution functions, particularly the doubly noncentral cases, have traditionally involved fairly complicated expressions. The form presented in this paper is computationally straightforward and is...

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Journal Article: Thurstone-Shepard similarity models as special cases of moment generating functions (1993)

Abstract: Certain probabilistic multivariate similarity models are shown to be special cases of moment generating functions. These models, introduced in Ennis, Palen, and Mullen (1988, Journal of Mathematical Psychology, 32, 449-465), are based on Thurstonian (1927, Psychological Review, 34, 273-286), ideas about the distribution of momentary psychological magnitudes and Shepard’s (1957, Psychometricka, 22, 325-345;...

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Journal Article: The power of sensory discrimination methods (1993)

Abstract: Difference testing methods are extensively used in a variety of applications from small sensory evaluation tests to large scale consumer tests. A central issue in the use of these tests is their statistical power, or the probability that if a specified difference exists it will be demonstrated as a significant difference in a...

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Journal Article: Probabilistic psychophysics with noisy stimuli (1992)

Abstract: Mental representations of physical objects may vary from moment to moment. This occurs because of stimulus variation prior to the initiation of a neural signal and also because of neural variation in the neural mechanism. A psychophysical transformation function formalizes the connection between stimulus measures and mental representations, and this function will be...

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