Fungible Weights in Multiple Regression

Every set of alternate weights (i.e., nonleast squares weights) in a multiple regression analysis with three or more predictors is associated with an infinite class of weights. All members of a given class can be deemed fungiblebecause they yield identical SSE (sum of squared errors) and R ² values. Equations for generating fungible weights are reviewed and an example is given that illustrates how fungible weights can be profitably used to evaluate parameter sensitivity in multiple regression. The author wishes to thank Drs. Robyn Dawes, William Grove, Markus Keel, Leslie Yonce, Joe Rausch, the editor, and three anonymous reviewers for helpful comments on earlier versions of this article.     

When and how politicians' disrespect affects voters' trust in the political system: The roles of social judgments and category prototypicality

We propose that one politician's disrespectful behavior can spill over to voters' generalized judgments of politicians and thereby affect trust in the political system. We delineate the spillover effect along the basic dimensions of social judgment, communion, and agency. Moreover, we argue that any spillover effect is contingent on the focal politicians' category prototypicality, that is, their representativeness of politicians as such. Conducting an experiment (N = 392) and a field study (N = 273), we found that politicians' respect only affected trust through generalized communion ratings. This spillover only occurred if the observed politician was perceived as prototypical. Our findings provide new insights on when and how individual politicians may be able to undermine voters' trust in the political system.     

Spontaneous generalization of abstract multimodal patterns in young domestic chicks

From the early stages of life, learning the regularities associated with specific objects is crucial for making sense of experiences. Through filial imprinting, young precocial birds quickly learn the features of their social partners by mere exposure. It is not clear though to what extent chicks can extract abstract patterns of the visual and acoustic stimuli present in the imprinting object, and how they combine them. To investigate this issue, we exposed chicks (Gallus gallus) to three days of visual and acoustic imprinting, using either patterns with two identical items or patterns with two different items, presented visually, acoustically or in both modalities. Next, chicks were given a choice between the familiar and the unfamiliar pattern, present in either the multimodal, visual or acoustic modality. The responses to the novel stimuli were affected by their imprinting experience, and the effect was stronger for chicks imprinted with multimodal patterns than for the other groups. Interestingly, males and females adopted a different strategy, with males more attracted by unfamiliar patterns and females more attracted by familiar patterns. Our data show that chicks can generalize abstract patterns by mere exposure through filial imprinting and that multimodal stimulation is more effective than unimodal stimulation for pattern learning.     

Selective auditory grouping by zebra finches: testing the iambic–trochaic law

Humans have a strong tendency to spontaneously group visual or auditory stimuli together in larger patterns. One of these perceptual grouping biases is formulated as the iambic/trochaic law, where humans group successive tones alternating in pitch and intensity as trochees (high–low and loud–soft) and alternating in duration as iambs (short–long). The grouping of alternations in pitch and intensity into trochees is a human universal and is also present in one non-human animal species, rats. The perceptual grouping of sounds alternating in duration seems to be affected by native language in humans and has so far not been found among animals. In the current study, we explore to which extent these perceptual biases are present in a songbird, the zebra finch. Zebra finches were trained to discriminate between short strings of pure tones organized as iambs and as trochees. One group received tones that alternated in pitch, a second group heard tones alternating in duration, and for a third group, tones alternated in intensity. Those zebra finches that showed sustained correct discrimination were next tested with longer, ambiguous strings of alternating sounds. The zebra finches in the pitch condition categorized ambiguous strings of alternating tones as trochees, similar to humans. However, most of the zebra finches in the duration and intensity condition did not learn to discriminate between training stimuli organized as iambs and trochees. This study shows that the perceptual bias to group tones alternating in pitch as trochees is not specific to humans and rats, but may be more widespread among animals.     

Grace in Nature and History: Luther's Doctrine of Creation Revisited1

Abstract: Interpreting Luther's Trinitarian theology of creation, it is shown how Luther's doctrine of creation is modelled on his soteriology. In his writing Against Latomus(1521) Luther established his famous distinction between the external grace of God (favor dei) and the divine gift (donom): the living Christ. A similar distinction can be re‐constructed from Luther's theology of creation as presented in his catechisms, sermons, tracts, and exegetical writings. Just as Luther makes a distinction between the Christ who takes side for us within God, and the Christ who is dwelling in the heart of the believer, Luther makes a the distinction between the fatherly love toward humankind (benevolentia), and the Father, Son and Spirit, who are at work from within the life of the creatures in God's blessing (benedictio). There is an implicit notion of a pater pro nobis and a pater in nobis, which reflects, in the order of creation, the classic distinction between Christus pro nobis and Christus in nobis. According to Luther's theology of the Eucharist and divine blessing, there exists a union between God and creature, which has a similar structure as the union between Christ and believer. There are distinctions to be drawn as well as correlations to be seen between the order of creation and the order of salvation.     

Early stopping of clinical trials: charting the ethical terrain

The decision to terminate a clinical trial earlier than planned is often described as ethically problematic, but it is rarely systematically analyzed as an ethical issue in its own right. This paper provides an overview of the main ethical considerations at stake in such decisions and of the main tensions between these considerations. Arguments about informed consent and the impact of early stopping on research and society are explored. We devote particular attention to a familiar conflict that arises with special urgency when early data suggest that the experimental treatment is superior. Should the trial be stopped so that participants in the control group will not be allocated a seemingly inferior treatment, or should it continue in pursuit of evidence conclusive enough to improve the care of future patients? We scrutinize three ways to address this problem. Rather than dissolving the tension, they represent different trade-offs between the respective welfare interests of subjects and future patients.     

Traces of times past: Representations of temporal intervals in memory

Theories of time perception typically assume that some sort of memory represents time intervals. This memory component is typically underdeveloped in theories of time perception. Following earlier work that suggested that representations of different time intervals contaminate each other (Grondin, 2005; Jazayeri & Shadlen, 2010; Jones & Wearden, 2004), an experiment was conducted in which subjects had to alternate in reproducing two intervals. In two conditions of the experiment, the duration of one of the intervals changed over the experiment, forcing subjects to adjust their representation of that interval, while keeping the other constant. The results show that the adjustment of one interval carried over to the other interval, indicating that subjects were not able to completely separate the two representations. We propose a temporal reference memory that is based on existing memory models (Anderson, 1990). Our model assumes that the representation of an interval is based on a pool of recent experiences. In a series of simulations, we show that our pool model fits the data, while two alternative models that have previously been proposed do not.     

Why envy outperforms admiration

Four studies tested the hypothesis that the emotion of benign envy, but not the emotions of admiration or malicious envy, motivates people to improve themselves. Studies 1 to 3 found that only benign envy was related to the motivation to study more (Study 1) and to actual performance on the Remote Associates Task (which measures intelligence and creativity; Studies 2 and 3). Study 4 found that an upward social comparison triggered benign envy and subsequent better performance only when people thought self-improvement was attainable. When participants thought self-improvement was hard, an upward social comparison led to more admiration and no motivation to do better. Implications of these findings for theories of social emotions such as envy, social comparisons, and for understanding the influence of role models are discussed.     

Students’ perception of teachers’ two-way feedback interactions that impact learning

Social Psychology of Education - Teacher-student interactions are fundamental to learning outcomes. However, the facilitation of student-defined, in-class two-way feedback interaction is...