京氏易学中的阴阳对待与流行——兼论京易纳甲、建候、积算的建构原则

本文从《京氏易传》入手,对京氏易学中阴阳二气的对待与流行进行了阐发。文章指出,京氏通过纳甲、卦变、飞伏、游魂、归魂、建候、积算诸说将“一阴一阳”之《易》道具体到实处,构建了一幅生生不息的、立体的阴阳对待流行图;其纳支、建候、积算则依历法及音律之隔八生律法纳入。     

可旋转地图和固定地图的定位效率研究

本研究采用两个分实验,分别比较了在空白背景与复杂背景上地图旋转与地图固定两种导航方式下被试的方位判断反应时之间的差异,然后考察两种背景在两种导航方式差异上的一致性问题。结果发现,在运动点的运动方向为朝上、朝左和朝右时,对于空白背景,地图旋转方式下的反应时显著低于地图固定方式;而对于复杂背景,两种导航方式下的反应时之间不存在显著差异。在运动点的运动方向为朝下时,对于两种背景,地图旋转方式的反应时均显著低于地图固定方式。这一结果基本证实了本研究的假设,即被试利用地图进行空间定向的认知过程包括心理旋转与目标搜索两个阶段。     

Newton Algorithms for Analytic Rotation: an Implicit Function Approach

In this paper implicit function-based parameterizations for orthogonal and oblique rotation matrices are proposed. The parameterizations are used to construct Newton algorithms for minimizing differentiable rotation criteria applied to m factors and p variables. The speed of the new algorithms is compared to that of existing algorithms and to that of Newton algorithms based on alternative parameterizations. Several rotation criteria were examined and the algorithms were evaluated over a range of values for m. Initial guesses for Newton algorithms were improved by subconvergence iterations of the gradient projection algorithm. Simulation results suggest that no one algorithm is fastest for minimizing all criteria for all values of m. Among competing algorithms, the gradient projection algorithm alone was faster than the implicit function algorithm for minimizing a quartic criterion over oblique rotation matrices when m is large. In all other conditions, however, the implicit function algorithms were competitive with or faster than the fastest existing algorithms. The new algorithms showed the greatest advantage over other algorithms when minimizing a nonquartic component loss criterion.     

Cue effects on memory for location when navigating spatial displays

Participants maneuvered a rat image through a circular region on the computer screen to find a hidden target platform, blending aspects of two well-known spatial tasks. Like the Morris water maze task, participants first experienced a series of learning trials before having to navigate to the hidden target platform from different locations and orientations. Like the dot-location task, they determined the location of a position within a two-dimensional circular region. This procedure provided a way to examine how the number of surrounding cues (1, 2, or 3) affects the memory for spatial location in navigation. Memory performance was better when there were more cues and when targets were close to cues, consistent with the idea that cues bolster fine-grain memory, especially in proximal regions. Early and late measures of bias in memory reflected biases in a direction toward the nearest cue, implicating a cue-based category structure of the navigational space. Collectively, results suggest cue-based spatial memory representations that have been inferred from the dot-location task generalize to a navigation task within a simple, computer-based environment, as demonstrated by the good fits of the spatial model developed for the dot-location task ( Fitting, Wedell, & Allen, 2005, 2007 ).     

物体识别的视角依赖与心理旋转

物体识别的绩效随物体的视角变化而变化,这一物体识别的视角依赖现象引发了研究者对物体识别的机制的广泛讨论。有研究者认为,心理旋转是导致物体识别视角依赖的原因,而另一种观点认为物体识别中不包含心理旋转过程。两种观点都有来自于行为和神经机制两方面研究的证据。然而,现有的行为证据都是间接的证据,缺乏说服力。进一步的研究应注重直接操纵影响心理旋转与物体识别过程的因素,并把行为研究与能进行实时监测的眼动、脑成像等研究结合起来     

参照系冲突对表象更新的影响

以三维场景图片为学习材料,通过系统操纵参照系之间的冲突,在四个实验中考察了两种不同表象更新任务的参照系冲突效应。结果发现：（1）参照系冲突对以自我为中心的表象更新有显著影响,但对以场景为中心的表象更新影响相对较小,从而导致以自我为中心表象更新相对于以场景为中心的表象更新的优势效应减小直至消失。（2）旋转者身体倾斜与场景倾斜引发的参照系冲突效应具有不对等性：由于整个场景倾斜引发的参照系冲突效应大于由于旋转者身体倾斜引发的参照系冲突效应。（3）与场景同时倾斜的局部空间参照系降低了以场景为中心表象更新任务的参照系冲突效应,但对以自我为中心表象更新任务的参照系冲突效应没有影响。这些结果表明两种表象更新任务具有不同的认知加工机制,并进一步扩展了Presson等提出的空间更新参照系冲突模型     

双任务情境下心理旋转的并行加工机制

采用心理不应期研究范式,三个反应时实验检测了心理旋转任务和其他认知操作任务能否并行加工的问题。在每个实验中要求被试快速、系列地完成对高低音的辨别任务(T1)和不同旋转角度的正反像辨别任务(T2),T1和T2呈现的时间间隔运用变化的SOA。结果发现：(1)T1的反应选择对T2的反应选择产生了很大的影响,在T2上PRP效应显著。心理旋转的操作成绩随着SOA的缩短而降低。(2)在T1上同样存在随着SOA缩短,反应时增加,正确率下降的趋势。T2的反应选择对T1的反应选择同样产生了显著的影响。(3)T2的反应选择对T1的中枢加工产生了相应的影响,表明当T1的反应选择占据中枢瓶颈时,心理旋转任务和其他认知操作任务在中枢瓶颈中并行得到了有效的加工     

Teaching Principal Components Using Correlations

Introducing principal components (PCs) to students is difficult. First, the matrix algebra and mathematical maximization lemmas are daunting, especially for students in the social and behavioral sciences. Second, the standard motivation involving variance maximization subject to unit length constraint does not directly connect to the “variance explained” interpretation. Third, the unit length and uncorrelatedness constraints of the standard motivation do not allow re-scaling or oblique rotations, which are common in practice. Instead, we propose to motivate the subject in terms of optimizing (weighted) average proportions of variance explained in the original variables; this approach may be more intuitive, and hence easier to understand because it links directly to the familiar “R-squared” statistic. It also removes the need for unit length and uncorrelatedness constraints, provides a direct interpretation of “variance explained,” and provides a direct answer to the question of whether to use covariance-based or correlation-based PCs. Furthermore, the presentation can be made without matrix algebra or optimization proofs. Modern tools from data science, including heat maps and text mining, provide further help in the interpretation and application of PCs; examples are given. Together, these techniques may be used to revise currently used methods for teaching and learning PCs in the behavioral sciences.     

Mental rotation with egocentric and object-based transformations

Two experiments were conducted to address methodological issues with past studies investigating the influence of egocentric and object-based transformations on performance and sex differences in mental rotation. In previous work, the egocentric and object-based mental rotation tasks confounded the stimulus type (embodied vs. non-embodied) and transformation task (egocentric vs. object-based). In both experiments presented here, the same stimuli were used regardless of the type of transformation but task instructions were modified to induce either egocentric (left–right judgment) or object-based (same–different judgment) processing. Experiment 1 used pairs of letters whereas Experiment 2 presented pairs of line-drawings of human hands. For both experiments, it was hypothesized that the mental rotation slope for response time would be steeper for object-based than for egocentric transformations. This hypothesis was verified in both experiments. Furthermore, Experiment 2 showed a reduced male advantage for egocentric compared to object-based rotations, whereas this pattern was reversed for Experiment 1. In conclusion, the present study showed that the influence of the type of transformation involved in mental rotation can be examined with the same set of stimuli simply by modifying task instructions.     

Stimulus size matters: do life-sized stimuli induce stronger embodiment effects in mental rotation?

Against the background of the embodied cognition approach this experiment investigated the influence of motor expertise on object-based vs. egocentric transformations in a chronometric mental rotation (MR) task using images of either the own or another person’s body as stimulus material. The present study aimed to clarify two issues: (1) whether stimulus size (life size vs. small) is able to induce embodiment effects and (2) which role self-awareness processes play when using stimuli of the own body. The same design was conducted twice using both small stimuli (Study 1) and life-size human figures (Study 2). Using life-sized figures in Study 2 resulted in an explicit advantage of self-related stimuli and improved performance for motor experts compared to non-motor experts in both object-based and egocentric transformations. In conclusion, these results suggest that life-sized figures do indeed induce stronger embodiment effects in MR.