Journal Articles

Journal Article: Equivalence hypothesis testing (2010)

Abstract: In statistical applications, such as a comparison of two items, it is useful to know whether one item is equivalent to another. Similarly it is often desirable to know whether one item can act as a substitute for another. Applications of the concept of equivalence include blend and flavor modifications of products, substitution...

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Journal Article: Describing the universal cover of a noncompact limit (2010)

Journal Article: Describing the universal cover of a noncompact limit (2010)

Abstract: This article appears as: Ennis, J. M. and Wei, G. (2010). Describing the universal cover of a noncompact limit. Geometry & Topology, 14(4), 2479-2496. Colleagues can request this journal article here: Describing the universal cover of a noncompact limit Not a Colleague? Click here to join for free!

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Journal Article: Hypothesis testing for equivalence based on symmetric open intervals (2009)

Abstract: There are many industrial applications for which it is desirable to know whether one product can act as a substitute for another. Examples include product modifications when ingredients change, substitution of generic drugs for brand-name drugs and modifications of products in response to government regulations. In addition, some companies develop products that are...

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Journal Article: A role for the perceptual representation memory system in category learning (2008)

Abstract: There is growing evidence that working memory, episodic/semantic memory, and procedural memory all play important roles in at least some types of category learning. Little is known, however, about the role of the perceptual representation memory system (PRS). Two experiments are reported that provide evidence that under certain conditions, the PRS, by itself,...

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Journal Article: Confidence bounds for positive ratios of normal random variables (2008)

Abstract: Some applications of ratios of normal random variables require both the numerator and denominator of the ratio to be positive if the ratio is to have a meaningful interpretation. In these applications, there may also be substantial likelihood that the variables will assume negative values. An example of such an application is when...

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Journal Article: Rejoinder to Bi and Meyners (2008)

Abstract: I am grateful to Bi and Meyners for their comments on my letter and to the editors of FQ&P for allowing this discussion on equivalency testing. I am glad that the replies to my letter have opened up some of the questions concerning equivalency testing methods which were not adequately discussed by Bi...

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Journal Article: Response to Bi, J. (2007)

Abstract: Bi (2007) discusses equivalency testing (which he terms similarity testing) in a recent paper in Food Quality and Preference and he relies on theory underlying the ‘‘two one-sided tests’’ (TOST) referencing Westlake (1981) and Schuirmann (1981). Bi’s paper contains a useful bibliography on the topic. Although Bi references Berger and Hsu (1996), which...

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Journal Article: Tables for parity testing (2008)

Abstract: There is frequent interest in establishing whether two products or treatments are essentially equivalent or at parity. Two types of parity hypotheses are defined in this article, an unsurpassed hypothesis and an equality hypothesis. Tables for these two types of parity hypotheses are presented for 2-alternative forced choice and preference data. These two...

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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: A neurobiological theory of automaticity in perceptual categorization (2007)

Abstract: A biologically detailed computational model is described of how categorization judgments become automatic in tasks that depend on procedural learning. The model assumes 2 neural pathways from sensory association cortex to the premotor area that mediates response selection. A longer and slower path projects to the premotor area via the striatum, globus pallidus,...

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