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.     

Digital daydreaming: Introducing the spontaneous smartphone checking scale

Smartphones are a ubiquitous part of many people's lives, but little is known about their impact on everyday thought processes. Here we introduce the spontaneous smartphone checking scale (SSCS)—which measures the tendency to direct attention toward one's smartphone, unpreceded by external prompts (e.g., notifications, or alerts) and with no specific conscious goal in mind, as a parallel to mind-wandering directed toward internal thoughts. The SSCS showed good psychometric properties and construct validity. It separated from measures of daydreaming and mind-wandering by not loading on dimensions related to self-consciousness, reflection, and rumination, but instead loading highly on a factor associated with other aspects of digital communication and concerns about public appearance on social media. This suggests that spontaneous smartphone checking serves different mental and social functions than internally generated spontaneous thought processes. We discuss possible long-term effects of spontaneous smartphone checking taking up time for internally generated spontaneous thoughts.     

Teaching spontaneous requests to children with autism using a time delay procedure with multi-component toys

Children with autism were taught spontaneous requests through a time delay procedure. Unlike previous research, which usually employed food as the target stimuli to be requested, the present study used toy pieces from multi-component toys. The procedure involved presenting a child with the target stimulus, with the trainer prompting the child by immediately modeling the request response. When the response was imitated without error, prompting was delayed with the time interval gradually being increased over trials. A spontaneous or imitated response was reinforced by giving the child the requested object. As the stimulus/model interval increased, children with autism were expected to initiate the request by themselves prior to the prompt. The efficacy of the time delay procedure was assessed using a multiple baseline across subject design with three Chinese boys with autism. Results showed that the three children acquired a 100% performance within five to nine sessions of training and the skill was maintained at the one-month and three-month followups. Furthermore, the learned response transferred to various conditions when tested across setting, person, toy, and food items. These results suggest that toys, the multi-component ones in particular, served well as reinforcers for language training. Furthermore these findings confirmed the practical utility of the time delay procedure for promoting spontaneous communication skills in children with autism.     

Spontaneous startle activity in newborn infants

Spontaneous startles have been reported to occur most frequently in quiet sleep, less frequently in active sleep and drowse, and relatively nonexistent in the waking states. These findings may be a result of a focus on infants whose prenatal histories reflect a restricted range of the conditions to which normal newborns are exposed. The present study examined the spontaneous startle behavior of 30 newborn infants characterized by high numbers of obstetric complications and by indicators of prenatal malnutrition, but within the range of normal, healthy newborns. In this sample, startles were not limited to the sleep and drowse states. Because individual differences in a number of neonatal behaviors have been related to autonomic nervous system (ANS) functioning, the different pattern of spontaneous startles observed in this sample may be related to the functional integrity of this system.     

A note on partitioned determinants

A formula for the determinant of a partitioned matrix, possibly with singular submatrices, is derived and applied to some psychometric and numerical problems.     

On rotating to smooth functions

Tucker has outlined an application of principal components analysis to a set of learning curves, for the purpose of identifying meaningful dimensions of individual differences in learning tasks. Since the principal components are defined in terms of a statistical criterion (maximum variance accounted for) rather than a substantive one, it is typically desirable to rotate the components to a more interpretable orientation. Simple structure is not a particularly appealing consideration for such a rotation; it is more reasonable to believe that any meaningful factor should form a (locally) smooth curve when the component loadings are plotted against trial number. Accordingly, this paper develops a procedure for transforming an arbitrary set of component reference curves to a new set which are mutually orthogonal and, subject to orthogonality, are as smooth as possible in a well defined (least squares) sense. Potential applications to learning data, electrophysiological responses, and growth data are indicated.Portions of this research were supported by the National Research Council of Canada, Grant A8615 to the second author. We thank Jagdeth Sheth for supplying his raw data.     

A look,by simulation,at the validity of some asymptotic distribution results for rotated loadings

In the last few years, a number of asymptotic results for the distribution of unrotated and rotated factor loadings have been given. This paper investigates the validity of some of these results based on simulation techniques. In particular, it looks at principal component extraction and quartimax rotation on a problem with 13 variables. The indication is that the asymptotic results are quite good.     

寻找镜中的自我：精神分裂症患者的视觉观点采择

精神分裂症患者的视觉观点采择影响其必要的社交活动和生活质量。本文通过对精神分裂症患者视觉观点采择的研究进行梳理,总结出相关的心理特点：精神分裂症患者的视觉观点采择过程受损,表现出自我中心性和他人中心性。在神经生理上表现出与视觉观点采择相关的脑区激活减弱。可能的原因是患者认知功能中反应抑制能力和心理旋转能力的受损所致,建议采用认知干预疗法可能会改善患者的视觉观点采择能力。目前的研究论证了精神分裂症患者视觉观点采择过程的损伤,对于不同水平的视觉观点采择下精神分裂症患者的认知模式还未有明确的定论,未来的研究可以从该角度入手,更加明确精神分裂症患者不同水平视觉观点采择的特点和神经生理活动。     

Spontaneous goal versus spontaneous trait inferences: How ideology shapes attributions and explanations

Past research documented liberals’ greater tendency than conservatives to take situational determinants of others’ actions into account when forming causal attributions, and conservatives’ greater tendency to seek consistency. We hypothesize that liberals (vs. conservatives) should be more likely to make spontaneous goal inferences (SGIs). Conservatives, however, should tend to implicitly infer invariant rather than variant characteristics from others’ behaviors, drawing spontaneous trait inferences (STIs) rather than SGIs. Experiment 1 and 2 supported those hypotheses by illustrating differences in the type of implicit inferences formed by liberals and conservatives in a false recognition paradigm common to the STI literature. Experiment 3 revealed similar differences in conservatives’ and liberals’ goal and trait inferences when making open-ended causal explanations for others’ actions.