Mathematical and Statistical Psychology

Journal Article: Simultaneous estimations of multiple product similarities using a new discrimination protocol (2007)

Abstract: This research investigated new paradigms that permit the simultaneous comparison of more than two samples in a discrimination study. Three successive experiments were conducted. All involved noncarbonated orange beverages. In experiment I, Torgerson’s method of triads was found to be more discriminating than the multiple dual-pair method and was used in the subsequent...

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Journal Article: Sources and influence of perceptual variance: Comment on Dzhafarov’s regular minimality principle (2006)

Abstract: Dzhafarov claims that Regular Minimality (RM) is a fundamental property of ‘‘same–different’’ discrimination probabilities and supports his claim with some empirical evidence. The key feature of RM is that the mapping, h, between two observation areas...

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Journal Article: Motivations for product consumption: Application of a probabilistic model to adolescent smoking (2004)

Abstract: This paper describes a method that can be used to investigate consumers’ reported reasons for using a particular product. This method is applied to ratings of degree of agreement with statements about reasons for product use. The method is illustrated using data on self-reported reasons for smoking among adolescents. The approach used is...

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Journal Article: A Thurstone-Coombs model of concurrent ratings with sensory and liking dimensions (2002)

Abstract: A popular product testing procedure is to obtain sensory intensity and liking ratingsfrom the same consumers. Consumers are instructed to attend to the sensory attribute, such as sweetness, when generating their liking response. We propose a new model of this concurrent ratings task that conjoins a unidimensional Thurstonian model of the ratings on...

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Journal Article: The multiple dual-pair method (2002)

Abstract: A model for the multiple dual-pair method, a generalization of the traditional dual-pair (4IAX) paradigm, is given. This model is expressed in terms of normal and beta distributions. This generalization allows for the simultaneous estimation of the perceptual distances among three or more stimuli. This model has applications in cases in which multiple...

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Journal Article: The power of the “A”-”Not A” method (2001)

Abstract: The “A’“- Not A” method is a rating method with two categories. It is often treated as a discrimination method. Unlike forced choice procedures, the Thurstonian model for this method involves a choice criterion. In statistical tests, it is treated as a comparison of two proponions. In this paper, the power for hypothesis...

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Journal Article: A Thurstonian model for the dual pair (4IAX) discrimination method (2001)

Abstract: In the dual pair method, the subject is presented with two stimuli in two pairs: One pair is composed of two samples of the same stimulus; the other pair is composed of two samples of different stimuli, one being the same as that in the identical pair. The task of the judge is...

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Journal Articles: Thurstonian models for variants of the method of tetrads (1998)

Abstract: Variants of the method of tetrads are discussed and their psychometric functions are both derived and presented in table form. For the first variant, the Unspecified method, subject response is correct provided that the subject, when presented with two stimuli form one set and two stimuli from a second set, correctly segregates the...

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Journal Article: Probabilistic models for sequential taste effects in triadic choice (1995)

Abstract: Sequential effects and positional response bias are accounted for in new models for triadic choice. These models were applied to data on distilled water and dilute NaCl solutions by use of the triangular and 3-alternative forced-choice methods with 4 participants. The concept of a "conditional stimulus" is introduced to describe stimuli that are...

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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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