Generalized approaches to the maxbet problem and the maxdiff problem,with applications to canonical correlations

Van de Geer has reviewed various criteria for transforming two or more matrices to maximal agreement, subject to orthogonality constraints. The criteria have applications in the context of matching factor or configuration matrices and in the context of canonical correlation analysis for two or more matrices. The present paper summarizes and gives a unified treatment of fully general computational solutions for two of these criteria, Maxbet and Maxdiff. These solutions will be shown to encompass various well-known methods as special cases. It will be argued that the Maxdiff solution should be preferred to the Maxbet solution whenever the two criteria coincide. Horst's Maxcor method will be shown to lack the property of monotone convergence. Finally, simultaneous and successive versions of the Maxbet and Maxdiff solutions will be treated as special cases of a fully flexible approach where the columns of the rotation matrices are obtained in successive blocks.The author is obliged to Henk Kiers for computational assistance and helpful comments.     

From Monroe to Moreau: an analysis of face naming errors.

Functional models of face recognition and speech production have developed separately. However, naming a familiar face is, of course, an act of speech production. In this paper we propose a revision of Bruce and Young's (1986) model of face processing, which incorporates two features of Levelt's (1989) model of speech production. In particular, the proposed model includes two stages of lexical access for names and monitoring of face naming based on a "perceptual loop". Two predictions were derived from the perceptual loop hypothesis of speech monitoring: (1) naming errors in which a (correct) rare surname is erroneously replaced by a common surname should occur more frequently than the reverse substitution (the error asymmetry effect); (2) naming errors in which a common surname is articulated are more likely to be repaired than errors which result in articulation of a rare surname (the error-repairing effect). Both predictions were supported by an analysis of face naming errors in a laboratory face naming task. In a further experiment we considered the possibility that the effects of surname frequency observed in face naming errors could be explained by the frequency sensitivity of lexical access in speech production. However, no effect of the frequency of the surname of the faces used in the previous experiment was found on face naming latencies. Therefore, it is concluded that the perceptual loop hypothesis provides the more parsimonious account of the entire pattern of the results.     

Alternating least squares algorithms for simultaneous components analysis with equal component weight matrices in two or more populations

Millsap and Meredith (1988) have developed a generalization of principal components analysis for the simultaneous analysis of a number of variables observed in several populations or on several occasions. The algorithm they provide has some disadvantages. The present paper offers two alternating least squares algorithms for their method, suitable for small and large data sets, respectively. Lower and upper bounds are given for the loss function to be minimized in the Millsap and Meredith method. These can serve to indicate whether or not a global optimum for the simultaneous components analysis problem has been attained.Financial support by the Netherlands organization for scientific research (NWO) is gratefully acknowledged.     

Aristotelian syllogisms and generalized quantifiers

The paper elaborates two points: i) There is no principal opposition between predicate logic and adherence to subject-predicate form, ii) Aristotle's treatment of quantifiers fits well into a modern study of generalized quantifiers.To the memory of Jerzy Supecki     

Least-squares approximation of an improper correlation matrix by a proper one

An algorithm is presented for the best least-squares fitting correlation matrix approximating a given missing value or improper correlation matrix. The proposed algorithm is based upon a solution for Mosier's oblique Procrustes rotation problem offered by ten Berge and Nevels. A necessary and sufficient condition is given for a solution to yield the unique global minimum of the least-squares function. Empirical verification of the condition indicates that the occurrence of non-optimal solutions with the proposed algorithm is very unlikely. A possible drawback of the optimal solution is that it is a singular matrix of necessity. In cases where singularity is undesirable, one may impose the additional nonsingularity constraint that the smallest eigenvalue of the solution be , where is an arbitrary small positive constant. Finally, it may be desirable to weight the squared errors of estimation differentially. A generalized solution is derived which satisfies the additional nonsingularity constraint and also allows for weighting. The generalized solution can readily be obtained from the standard unweighted singular solution by transforming the observed improper correlation matrix in a suitable way.     

Zebra finches (Taeniopygia guttata) demonstrate cognitive flexibility in using phonology and sequence of syllables in auditory discrimination

Animal Cognition - Zebra finches rely mainly on syllable phonology rather than on syllable sequence when they discriminate between two songs. However, they can also learn to discriminate two...     

The effect of the two-chair dialogue intervention on self-compassion - adding an emotional evocative component to a basic Rogerian condition

Objective

How people relate to themselves when facing distress or failure influences general psychological well-being and vulnerability to psychological disorders. The aim of the present study was to explore the effect of an emotionally evocative intervention on self-compassion.

Methods

The data were retrieved from a larger study of Emotion-Focused Therapy (EFT) utilising a multiple baseline design comparing two treatment phases. The baseline phase consisted of 5, 7 or 9 therapy sessions where the therapist solely adhered to Rogerian relational conditions, as prescribed in EFT. A two-chair dialogue intervention was then added for five sessions. The sample consisted of 18 self-critical clients with clinically significant symptoms of depression and/or anxiety. The “Self-Compassion Scale” (SCS) was administered pre, mid and post therapy.

Results

The baseline phase did not lead to significant changes in self-compassion. However, the addition of the two-chair dialogue was associated with a significant increase in self-compassion. This increase was due to reductions in the negative subscales, especially the isolation subscale.

Conclusion

The emotionally evocative two-chair dialogue was associated with a significant change in self-to-self relating, compared to relational conditions alone. The two-chair dialogue, thus, seems to be a promising intervention for promoting healthier self-to-self relating.     

An alternating least squares method for the weighted approximation of a symmetric matrix

Bailey and Gower examined the least squares approximationC to a symmetric matrixB, when the squared discrepancies for diagonal elements receive specific nonunit weights. They focussed on mathematical properties of the optimalC, in constrained and unconstrained cases, rather than on how to obtainC for any givenB. In the present paper a computational solution is given for the case whereC is constrained to be positive semidefinite and of a fixed rankr or less. The solution is based on weakly constrained linear regression analysis.The authors are obliged to John C. Gower for stimulating this research.     

Auditory spatial alternation transforms auditory time (again): Comments on Lakatos (1993), “Temporal constraints on apparent motion in auditory space”

Lakatos (1993) reported interesting data that indeed support “the hypothesis that the extent of spatial separation between successive sound events directly affects the perception of time intervals between these events” (p. 139). The present comment is an attempt to show that, as far as the horizontal plane is concerned, Lakatos’s hypothesis was already answered qualitatively by Axelrod and coworkers (Axelrod & Guzy, 1968; Axelrod, Guzy, & Diamond, 1968) in their studies of attention shifting, and by ten Hoopen and coworkers, who quantified the amount of “interaural time dilation” (Akerboom, ten Hoopen, Olierook, & van der Schaaf, 1983; ten Hoopen, 1982; ten Hoopen, Vos, & Dispa, 1982). Nonetheless, Lakatos’s study is very worthwhile. It originated from the realm of “apparent motion paradigms,” but I will argue that the study rather used an “auditory streaming paradigm,” and that the data is a welcome contribution to elucidate how the perceptual processes of auditory stream formation and interaural time dilation interact.