Paul Tillich's Perspectives on Ways of Relating Science and Religion

Where do Paul Tillich's views of the relationship between religion and science fit in Ian Barbour's four classifications of conflict, independence, dialogue, and integration? At different levels of analysis, he fits in all of them. In concrete religions and sciences, some conflict is evident, but religion and science can be thought of as having parallel perspectives, languages, and objectives. Tillich's method of correlation itself is a form of dialogue. His theology of nature in “Life and the Spirit” (Part 4 of his Systematic Theology) fits the integration type. His strong “Two Types of Philosophy of Religion” (in Theology of Culture) is a latent natural theology. His system of the sciences is a form of synthesis, a type of integration.     

医科大学生优秀学业表现的人格心理学分析及相关性研究

目的:探讨医科大学生优秀学业表现的特征人格以及学业成绩性别差异的人格心理学原因。方法:以卡特尔16PF个性测验为测试工具,应用Spearman相关系数对医科大学生人格特质与学业成绩综合得分进行相关分析。结果:医科大学男女生的开放性分别为5.80±0.89和4.47±1.41,差别有统计学显著性(p0.001)。大学生学业成绩的高低和大学生的自律性和稳定性的相关系数分别为0.271和0.263。结论:医科男女大学生学业成绩差异主要与其开放性大小有关,大学生在校期间学业成绩分值的高低与人格特质中的自律性和稳定性大小成正比,提示加强大学生自律性和稳定性的训练有助于塑造大学生良好的人格特质。     

Seeing the Fisher<Emphasis Type="Italic">Z</Emphasis>-transformation

Since 1915, statisticians have been applying Fisher'sZ-transformation to Pearson product-moment correlation coefficients. We offer new geometric interpretations of this transformation.     

Delayed reinforcement of fixed-ratio performance without mediating exteroceptive conditioned reinforcement

The performance of pigeons was studied under conditions in which the completion of a fixed-ratio requirement was not contiguous with the presentation of a reinforcer. Timein and timeout periods alternated throughout the experimental sessions. Responses made by an experimental bird during the timein period were accumulated, and when a fixed-ratio requirement had been met, grain was presented to the experimental bird and a yoked control following their first response in the next timein period. Across most manipulations of the fixed-ratio requirement and of the duration of the timeout period, the response rates of the experimental birds were considerably higher than those of their controls, suggesting that the response-reinforcer dependency controlled the behavior of the experimental bird in the absence of a close temporal association between responding on the ratio schedule and reinforcer presentations.     

On the optimality of the simultaneous redundancy transformations

The objective of this paper is to introduce and motivate additional properties and interpretations for the redundancy variables. It is shown that these variables can be derived by application of certain invariance arguments and without reference to the index of redundancy. In addition, an optimality property for the variables is presented which is important whenever one restricts attention in a study to a subset of the redundancy variables. This optimality property pertains to the subset rather than to the individual variables.This paper is based in part on the author's doctoral dissertation, Department of Statistics, Princeton, University. Research was conducted under the supervision of Lawrence S. Mayer.     

Low-dimensional chaos maps learning in a model neuropil (olfactory bulb)

Quantification of a chaotic system can be made by calculating the correlation dimension (D2) of the data that the system generates (Packard et al., 1980). The D2 algorithm, however, requires stationarity of the generator, a feature that biological data rarely reflect (Mayer-Kress et al., 1988). So we developed the “point correlation dimension” (PD2), an algorithm that accurately tracks D2 in linked data of different dimensions (Carpeggiani et al., 1991). We now present a mathematical argument that, for stationary data, individual PD2s converge to D2 and we demonstrate that the algorithm rejects contributions made by bursts of noise. Data were obtained from the surface of the olfactory bulb of the conscious rabbit (64 electrodes, 640 Hz each, 1.3 sec epochs) before and after presentation of a novel or habituated odor. D2 could be calculated in only 1 of 10 novel-odor trials, whereas PD2 could be calculated in all. Both algorithms indicated that a novel odor evokes a spatially uniform dimensional increase. The PD2 uniquely exhibited the dimensional decreases that occur during inspiration and the gradients of mean dimension present during the nonstimulated control state. These control gradients remained unchanged without odor experience, but showed spatially specific PD2 increases following odor habituation. It is interpreted that, 1) the PD2 issensitive, accurate, and appropriate for dimensional assessment of biological data, 2) that during analysis of unfamiliar information a singleglobal process is transiently evoked in the neuropil, and 3) after experience multiplespatially specific processes tonically map the sites of learning. Grant Support: National Institutes of Health, HL 31164 and NS27745     

Interpreting canonical correlation analysis through biplots of structure correlations and weights

This paper extends the biplot technique to canonical correlation analysis and redundancy analysis. The plot of structure correlations is shown to the optimal for displaying the pairwise correlations between the variables of the one set and those of the second. The link between multivariate regression and canonical correlation analysis/redundancy analysis is exploited for producing an optimal biplot that displays a matrix of regression coefficients. This plot can be made from the canonical weights of the predictors and the structure correlations of the criterion variables. An example is used to show how the proposed biplots may be interpreted.     

New lower and upper bounds for communality in factor analysis

We derive several relationships between communalities and the eigenvalues for ap ×p correlation matrix under the usual factor analysis model. For suitable choices ofj, _j (), where _j () is thej-th largest eigenvalue of , provides either a lower or an upper bound to the communalities for some of the variables. We show that for at least one variable, 1 - _p () improves on the use of squared mulitiple correlation coefficient as a lower bound.This research was done while the second author was at Tokyo Institute of Technology.     

Scale sensitivity in the multiplicative AHP and SMART

We consider first a variant of the analytic hierarchy process (AHP) with a one-parametric class of geometric scales to quantify human comparative judgement and with a multiplicative structure: logarithmic regression to calculate the impact scores of the alternatives at the first evaluation level and a geometric-mean aggregation rule to calculate the final scores at the second level. We demonstrate that the rank order of the impact scores and final scores is scale-independent. Finally we show that the multiplicative AHP is an exponential version of the simple multi-attribute rating technique (SMART). In fact, the multiplicative AHP is concerned with ratios of intervals on the dimension of desirability, whereas SMART analyses differences in the corresponding orders of magnitude.     

大学生英语学习过程中认知因素与情感因素对学业成绩的影响

利用调查问卷法对152名大学生就英语学习中的认知因素(以学习风格和学习策略为核心)和情感因素(以成就动机和学习意愿为核心)对于学习成绩的影响进行了相关研究,继而通过多元回归方法与路径分析技术,探讨了三者之间的因果关系。研究结果表明,学习意愿、成就动机、学习风格与英语成绩之间具有显著性相关,而学习策略与英语成绩之间的相关不显著。学习风格作为中介变量在对学生的英语学习有着重要的影响。学习意愿与成就动机通过学习风格而问接地作用于英语学习绩效。