The pond-and-duckweed problem; Three experiments on the misperception of exponential growth

The representation of duckweed multiplying itself in a pond is used as a research paradigm to study underestimation of exponential growth. The advantage of this paradigm is that the growth process is presented in a direct non-numerical way. The results show that the underestimation observed in earlier studies where growth was presented by means of tables or graphs, occurs in the pond-and-duckweed situation as well. By manipulating the way the process is presented it is possible to obtain some insight into the sampling strategies used by the subjects when they subjectively extrapolate the perceived processes. These experiments lead to the conclusion that subjects base their extrapolations on three or four samples only.     

Dimensional structure and psychopathology correlates of the fear survey schedule (FSS-III) in a phobic population: A factorial definition of agoraphobia

The responses of 703 non-institutionalized phobics to the Fear Survey Schedule (FSS-III) were factor-analyzed utilizing a principal components procedure. Factors previously identified in student, adolescent and ‘non-phobic patient’ populations—(I) Social Anxiety, (III) Fears related to Bodily Injury, Death and Illness. (IV) Fear of Display to Sexual and Aggressive Scenes, (V) Small Animal Fears—were replicated. Additionally, an Agoraphobia (II) factor, corroborating recent findings by Hallam and Hafner (1978), and pointing to the specificity of this fear, emerged. Due to substantially high intercorrelations found, the Social Inadequacy dimension of the Symptom Checklist (SCL-90) and the Social Anxiety scale (I), on the one hand, and the Agoraphobic dimension of the SCL-90 and the Agoraphobia scale (II), on the other, could be used interchangeably with phobic populations. A higher-order factor analysis run on psychopathology scales employed, including factored FSS scales, yielded three components, (1) Neuroticism, (2) Phobia and (3) Agoraphobia. Opportunity was taken to define the Agoraphobic Syndrome empirically. A specific Somatization dimension was as highly related to Neuroticism, as to the higher-order Agoraphobic cluster, clearly supporting clinical observations with regard to the Agoraphobic syndrome. Some interesting findings are focused upon and discussed.     

Cluster differences scaling with a within-clusters loss component and a fuzzy successive approximation strategy to avoid local minima

Cluster differences scaling is a method for partitioning a set of objects into classes and simultaneously finding a low-dimensional spatial representation ofK cluster points, to model a given square table of dissimilarities amongn stimuli or objects. The least squares loss function of cluster differences scaling, originally defined only on the residuals of pairs of objects that are allocated to different clusters, is extended with a loss component for pairs that are allocated to the same cluster. It is shown that this extension makes the method equivalent to multidimensional scaling with cluster constraints on the coordinates. A decomposition of the sum of squared dissimilarities into contributions from several sources of variation is described, including the appropriate degrees of freedom for each source. After developing a convergent algorithm for fitting the cluster differences model, it is argued that the individual objects and the cluster locations can be jointly displayed in a configuration obtained as a by-product of the optimization. Finally, the paper introduces a fuzzy version of the loss function, which can be used in a successive approximation strategy for avoiding local minima. A simulation study demonstrates that this strategy significantly outperforms two other well-known initialization strategies, and that it has a success rate of 92 out of 100 in attaining the global minimum.     

The generality of mental addition models: Simple and complex addition in a decision-production task

Recently, Widaman, Geary, Cormier, and Little (in press) offered a general componential model for simple and complex addition. In the present study, the generalizability of this model to very complex addition problems and to production task performance was tested. We investigated addition-production performance using a new research paradigm, the decision-production task. The paradigm was used to assess the reaction times of 16 adults to 100 single-digit addition problems (Experiment 1) and to very complex three-digit addition problems (Experiment 2). Generally, the results give evidence for the basic assumptions of the Widaman et al. model. Some of the results, however, demonstrate that short-term memory load factors and strategy choices also have important effects on complex addition-production performance. Furthermore, the results of both experiments indicate that, in production tasks, the nature of the elementary search/compute process can be characterized as a memory-retrieval process and that the decision-production paradigm is a valuable alternative to the classical verbal production paradigm.     

Stem Complexity and Inflectional Encoding in Language Production

Three experiments are reported that examined whether stem complexity plays a role in inflecting polymorphemic words in language production. Experiment 1 showed that preparation effects for words with polymorphemic stems are larger when they are produced among words with constant inflectional structures compared to words with variable inflectional structures and simple stems. This replicates earlier findings for words with monomorphemic stems (Janssen et al., 2002). Experiments 2 and 3 showed that when inflectional structure is held constant, the preparation effects are equally large with simple and compound stems, and with compound and complex adjectival stems. These results indicate that inflectional encoding is blind to the complexity of the stem, which suggests that specific inflectional rather than generic morphological frames guide the generation of inflected forms in speaking words.     

Effector-independent and effector-dependent learning in the discrete sequence production task

This study examined whether skill in the discrete sequence production task involves, apart from the typical effector-independent component, an effector-dependent component. To that end, 12 participants practiced two 5-key sequences, each for 1,060 trials. One group practiced with three fingers of one hand, the other group with three fingers of two hands. In a subsequent test phase, participants in both groups executed the same sequences and two new sequences with the hand configuration they had used during practice, and with the hand configuration of the other group. The results provide support for an effector-dependent component in that both groups performed the practiced sequences faster with the hand configuration they had used during practice than with the hand configuration that was new to them. In addition, the unpracticed hand configuration performed the practiced sequences faster than the new sequence, which demonstrated the effector-independent component.     

Automatic negative evaluation of suffocation sensations in individuals with suffocation fear

The current study tested whether "suffocation sensations" (respiratory loads) are automatically evaluated in a negative way by people fearing these sensations. It was found that, after having been primed with a slight respiratory load, participants with high suffocation fear (n=15) reacted more quickly to suffocation words and more slowly to positive words than participants with low suffocation fear (n=21). However, the effect was present only in participants who had noticed the primes. The findings are relevant to the cognitive model of panic disorder because automatic negative appraisal of sensations may play a role in initiating a panic attack.     

Cross-cultural validity of the masculine and feminine gender role stress scales

The objective was to examine the usefulness of Dutch versions of the Masculine Gender Role Stress (MGRS; Eisler & Skidmore, 1987) Scale and the Feminine Gender Role Stress (Gillespie & Eisler, 1992) Scale in The Netherlands. Undergraduate students (N = 2,239) completed both gender role stress scales. A subgroup (n = 508) also completed questionnaires about masculinity-femininity and daily hassles. With regard to both gender role stress scales, results of confirmatory factor analyses supported the original 5-factor structures and revealed no cross-sex differences on the factor models. Reliability and homogeneity indexes were all well within acceptable to satisfactory limits. Further evidence of construct validity was found in (a) medium to large correlations with daily hassles, (b) sex differences on the FGRS scale, and (c) small to medium correlations with masculinity-femininity. The major discrepancy with previous studies was that for Dutch female and male students, the MGRS scale was not sex specific. Taken together, this study sustained the utility of both gender role stress scales for use in The Netherlands.     

Avoiding degeneracy in multidimensional unfolding by penalizing on the coefficient of variation

Multidimensional unfolding methods suffer from the degeneracy problem in almost all circumstances. Most degeneracies are easily recognized: the solutions are perfect but trivial, characterized by approximately equal distances between points from different sets. A definition of an absolutely degenerate solution is proposed, which makes clear that these solutions only occur when an intercept is present in the transformation function. Many solutions for the degeneracy problem have been proposed and tested, but with little success so far. In this paper, we offer a substantial modification of an approach initiated bythat introduced a normalization factor based on thevariance in the usual least squares loss function. Heiser unpublishedthesis, (1981) and showed that the normalization factor proposed by Kruskal and Carroll was not strong enough to avoid degeneracies. The factor proposed in the present paper, based on the coefficient of variation, discourages or penalizes nonmetric transformations of the proximities with small variation, so that the procedure steers away from solutions with small variation in the interpoint distances. An algorithm is described for minimizing the re-adjusted loss function, based on iterative majorization. The results of a simulation study are discussed, in which the optimal range of the penalty parameters is determined. Two empirical data sets are analyzed by our method, clearly showing the benefits of the proposed loss function.The authors would like to thank the editor, an associate editor, and three reviewers for their valuable comments and suggestions to improve the quality of this work.This revised article was published online in August 2005 with the PDF paginated correctly.     

The Genetic Perspective in Psycholinguistics or Where Do Spoken Words Come From?

The core issue in the 19-century sources of psycholinguistics was the question, “Where does language come from?” This genetic perspective unified the study of the ontogenesis, the phylogenesis, the microgenesis, and to some extent the neurogenesis of language. This paper makes the point that this original perspective is still a valid and attractive one. It is exemplified by a discussion of the genesis of spoken words.