Psychometrics and Mathematical and Statistical Psychology

Journal Article: Mapping hedonic data: A process perspective (2013)

Abstract: Multivariate analyses are commonly used to study differences among items in a multidimensional space and to relate these findings to hedonic assessments of the same items. But there are numerous methods in use and the purpose of this article is to review these methods from a process standpoint. Specifically, this article considers the...

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Journal Article: Importance of correct instructions in the tetrad test (2013)

Abstract: Use of the tetrad test has increased recently as both theoretical and experimental results have shown that it is statistically more powerful than the triangle test. In this article, although, we show that this power advantage depends on the choice of instructions. Specifically, we show that if experimenters ask respondents to select the...

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Journal Article: A Thurstonian Analysis of the Two-Out-of-Five Test (2013)

Abstract: The Two-Out-of-Five test is a method of unspecified difference testing. Although its low guessing probability (1/10) gives promise that it might have high power, the theoretical underpinnings of the method have not yet been investigated. In this article, we offer the first such investigation, via Thurstonian analysis. This investigation reveals that the standard...

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Journal Article: The year of the tetrad test (2013)

Abstract: A long-standing problem in sensory has been the absence of sensitive testing methods when the nature of the difference is not known. It has been a remarkable year for the Tetrad test in terms of providing a reasonable solution to this problem. Consequently, the journal Editor-in-Chief, Dr. Chambers, has graciously asked me to...

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Journal Article: Investigating the single ideal assumption using Ideal Profile Method (2013)

Abstract: Ideal point modeling is a type of multivariate mapping in which consumers are assumed to use internal ideals in their hedonic evaluation of products. In their calculation processes, these techniques typically assume that consumers have a unique ideal for the product set tested. But this assumption is difficult to verify from the liking...

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Journal Article: Analysis and Thurstonian scaling of applicability scores (2013)

Abstract: Check-all-that-apply (CATA) lists are commonly used in both survey research and sensory science. A related technique, referred to in this paper as applicability scoring, requires respondents to respond positively or negatively to the item of interest – applicability scoring differs from CATA as CATA only requires a check when the item applies to...

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Journal Article: A Thurstonian ranking model with rank-induced dependencies (2013)

Abstract: A Thurstonian model for ranks is introduced in which rank-induced dependencies are specified through correlation coefficients among ranked objects that are determined by a vector of rank-induced parameters. The ranking model can be expressed in terms of univariate normal distribution functions, thus simplifying a previously computationally intensive problem. A theorem is proven that...

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Journal Article: Accounting for no difference/preference responses or ties in choice experiments (2012)

Abstract: The analysis of choice data in which no difference/preference responses, or ties, occur is considered in this paper. A key issue addressed in the paper is the need for ‘‘identicality norms’’ for difference and preference tests. These norms reflect the researcher’s expectation for the number of ties that would have occurred in the...

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Journal Article: The power of sensory discrimination methods revisited (2011)

Abstract: “The power of sensory discrimination methods” (PSDM) was published in this journal in 1993.PSDM clarified the need for power considerations in the interpretation of testing results while providing a series of sample size tables. Despite the fact that the data considered in PSDM were binomially distributed, a normal approximation was used that both...

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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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