Function invariant and parameter scale-free transformation methods

The parameter matrices of factor analysis and principal component analysis are arbitrary with respect to the scale of the factors or components; typically, the scale is fixed so that the factors have unit variance. Oblique transformations to optimize an objective statement of a principle such as simple structure or factor simplicity yield arbitrary solutions, unless the criterion function is invariant with respect to the scale of the factors, or the parameter matrix is scale free with respect to the factors. Criterion functions that are factor scale-free have a number of invariance characteristics, such as being equally applicable to primary pattern or reference structure matrices. A scale-invariant simple structure function of previously studied function components is defined. First and second partial derivatives are obtained, and Newton-Raphson iterations are utilized. The resulting solutions are locally optimal and subjectively pleasing.Aspects of this paper were presented at the 1970 and 1974 annual meetings, Society of Multivariate Experimental Psychology, and the 1975 annual meeting, Psychometric Society. This investigation was supported in part by a Research Scientist Development Award (K02-DA00017) and research grants (MH24149 and DA01070) from the U. S. Public Health Service. The assistance of Bonnie Barron, Sik-Yum Lee, and several extremely helpful reviewers is gratefully acknowledged.     

Maximally correlated orthogonal composites and oblique factor analytic solutions

Kaiser presented a method for finding a set of derived orthogonal variables which correlate maximally with a set of original variables. A simpler, more complete derivation of Kaiser's result is given and compared to related types of transformations. The transformation derived here suggests a direct method for finding the orthogonal factor solution which is maximally similar to a given oblique solution.     

口吃者加工汉语歧义短语的神经过程

韵律边界是口语韵律特征的有机组成部分, 在语言理解中发挥着重要作用。口吃作为一种言语节律性障碍, 主要表现为音节经常性的重复、拖长或停顿等。本研究采用ERP, 考察口吃者完成词汇判断和结构判断两种任务时, 加工歧义短语(动宾/偏正歧义结构)内部韵律边界的认知过程。结果发现口吃者和言语流畅者在加工汉语歧义短语过程中, 所诱发的反映韵律切分的脑电成分CPS (closure positive shift)不存在显著差异。在0~300 ms, 不论中线还是两侧, 口吃者和言语流畅者加工两类短语时, 动宾短语韵律边界诱发正效应的头皮分布范围小于偏正短语。在300~600 ms, 中线上, 口吃和言语流畅者在完成两种任务时, 两类短语的韵律边界均稳定诱发了正效应; 在两侧, 结构判断任务中两类短语的韵律边界都诱发了正效应, 但词汇判断任务中只有偏正短语稳定诱发该效应。综上, 口吃者和言语流畅者一样对口语韵律边界敏感, 并且他们加工歧义短语内部韵律边界时, 诱发的脑电效应受到实验任务和短语结构类型的影响。     

来自基层医生的呼吁：重视社区医疗—《行医日记》选载

《行医日记》用行医实践说明了社区医疗的作用、地位、服务方式、服务内容以及社区医疗的诸多困难,社区医疗应该有其特定的社会地位和学术地位,以下几篇内容是根据日常所做、所想、所感而作的总结。对基层医疗的社区服务性质应该有个全新的认识。     

Some properties of binormamin

Three properties of the binormamin criterion for analytic transformation in factor analysis are discussed. Particular reference is made to Carroll's oblimin class of criteria.The research reported in this note was supported in part by the Program in Applied Mathematics and Statistics. National Science Foundation, and by the National Institute of Education, Department of Health, Education, and Welfare.     

Factor simplicity index and transformations

A scale-invariant index of factorial simplicity is proposed as a summary statistic for principal components and factor analysis. The index ranges from zero to one, and attains its maximum when all variables are simple rather than factorially complex. A factor scale-free oblique transformation method is developed to maximize the index. In addition, a new orthogonal rotation procedure is developed. These factor transformation methods are implemented using rapidly convergent computer programs. Observed results indicate that the procedures produce meaningfully simple factor pattern solutions.This investigation was supported in part by a Research Scientist Development Award (K02-DA00017) and research grants (MH24149 and DA01070) from the U. S. Public Health Service. The assistance of Andrew L. Comrey, Henry F. Kaiser, Bonnie Barron, Marion Hee, and several anonymous reviewers is gratefully acknowledged.     

Dynamic analysis of multivariate panel data with non-linear transformations

Many models for multivariate data analysis can be seen as special cases of the linear dynamic or state space model. Contrary to the classical approach to linear dynamic systems analysis, in which high-dimensional exact solutions are sought, the model presented here is developed from a social science framework where low-dimensional approximate solutions are preferred. Borrowing concepts from the theory on mixture distributions, the linear dynamic model can be viewed as a multi-layered regression model, in which the output variables are imprecise manifestations of an unobserved continuous process. An additional layer of mixing makes it possible to incorporate non-normal as well as ordinal variables.Using the EM-algorithm, we find estimates of the unknown model parameters, simultaneously providing stability estimates. The model is very general and cannot be well estimated by other estimation methods. We illustrate the applicability of the obtained procedure through an example with generated data.     

Application of Child Protective Services in Korea

Abstract

Because childrearing is a very culturally oriented practice, cultural sensitivity in Child Protective Services (CPS) is a very important factor for effective services. Korea has recently begun social intervention in cases of child abuse, but faces many difficulties resulting from cultural dilemmas. In particular, Korean society has the value of corporal punishment and negative attitudes toward social intervention into family issues. These cultural characteristics result in strong resistance to intervention by CPS. In the future, the success of child abuse intervention in Korean society will depend on how these cultural dilemmas are resolved. The development of a CPS model based on Korean culture can be an alternative to reduce conflicts in the application of CPS.     

Stereotypical attitudes amongst black students at a rural historically black South African university

This study investigated stereotypical attitudes towards race amongst Black students (N=274) attending a historically Black South African university (females=62%; mean age of 22.15 years; SD=3.00 years). Data on group stereotyping by race were collected using a semi-structured questionnaire. The data were analysed for themes using discourse analysis. The findings indicated that Black students from a rural background stereotyped those from urban centres as lacking in African culture and being overly westernised. Conversely, rural Blacks from urban settings stereotyped those from rural areas as respectful, cultured and materially poor. Regardless of geographical origin, the Black students perceived English-speaking Whites as competent and friendly, while Afrikaans-speaking Whites were stereotyped as racist, aggressive and hardworking. The Black students perceived Indian South Africans as unethical and deceitful whilst Coloureds were noted to lack culture and to be aggressive. Findings suggest stereotypical racist language or discourse to be persistent among a student population with historical disadvantage.     

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.     

From “disciplined subjectivity” to “taming wild thoughts”: Bion's elaboration of the analysing instrument

Abstract

Freud encouraged the analyst to use his unconscious “as an instrument of the analysis,” but did not elaborate on how this should be done. This recommendation opened the door to a consideration of unconscious communication between the analyst and patient as an intersubjective exchange. Both Wilfred Bion and Erik Erikson emphasised the importance of the analyst's intuition, and the author compares and contrasts these two approaches. Erikson advocated a more cautious attitude regarding the analyst's subjectivity, while Bion promoted a broader application of the analyst's various private reactions to the analysand. A brief vignette from the analysis of a five-year-old boy is offered to illustrate the importance of the analyst's reveries, the mutual process of containment and transformation between analyst and patient, and the co-creation of an analytic narrative.     

A note on parameter estimation for Lazarsfeld's latent class analysis

As the literature indicates, no method is presently available which takes explicitly into account that the parameters of Lazarsfeld's latent class analysis are defined as probabilities and are therefore restricted to the interval [0, 1]. In the present paper an appropriate transform on the parameters is performed in order to satisfy this constraint, and the estimation of the transformed parameters according to the maximum likelihood principle is outlined. In the sequel, a numerical example is given for which the basis solution and the usual maximum likelihood method failed. The different results are compared and the advantages of the proposed method discussed.     

Homogeneity analysis withk sets of variables: An alternating least squares method with optimal scaling features

Homogeneity analysis, or multiple correspondence analysis, is usually applied tok separate variables. In this paper we apply it to sets of variables by using sums within sets. The resulting technique is called OVERALS. It uses the notion of optimal scaling, with transformations that can be multiple or single. The single transformations consist of three types: nominal, ordinal, and numerical. The corresponding OVERALS computer program minimizes a least squares loss function by using an alternating least squares algorithm. Many existing linear and nonlinear multivariate analysis techniques are shown to be special cases of OVERALS. An application to data from an epidemiological survey is presented.This research was partly supported by SWOV (Institute for Road Safety Research) in Leidschendam, The Netherlands.     

Multivariate analysis with linearizable regressions

We study the class of multivariate distributions in which all bivariate regressions can be linearized by separate transformation of each of the variables. This class seems more realistic than the multivariate normal or the elliptical distributions, and at the same time its study allows us to combine the results from multivariate analysis with optimal scaling and classical multivariate analysis. In particular a two-stage procedure which first scales the variables optimally, and then fits a simultaneous equations model, is studied in detail and is shown to have some desirable properties.     

Murray Sidman's contributions to clinical behavior analysis

Murray Sidman was not himself a clinician nor directly involved in clinical research. Nevertheless, his experimental and conceptual work, especially in the area of stimulus equivalence, profoundly influenced the development of clinical behavior analysis. Before his work on stimulus equivalence, clinicians with a behavior analytic world view working with verbally sophisticated humans, were making some progress in understanding clinical phenomena and in developing innovative therapies. However, given the obvious and predominant role of verbal processes in both the development and treatment of clinical problems, that progress was constrained by the existing behavior analytic account of verbal behavior. Most fundamentally, it was hard to understand how, in the apparent absence of direct training, verbal events, even novel verbal events, acquire the functions of the nonverbal events that they stand for or represent. Sidman's work on stimulus equivalence, especially the transfer (transformation) of functions, offered an answer and thereby provided a conceptual framework of symbolic behavior around which clinical behavior analysis could cohere and develop.     

Psychoanalytic transformations1

The author describes how Bion took Freud's conception of dreams as a form of thought and used it as the basis of his theory of transformations. Bion developed an expanded theory of ‘dream thought’, understood as a process of selection and transformation of sensory and emotional experiences. In this theory, the work of analysis is in turn conceived as a process not only of deciphering symbols, of revealing already existing unconscious meanings, but also of symbol production‐of a process for generating thoughts and conferring meaning on experiences that have never been conscious and never been repressed because they have never been ‘thought’. Analysis, in its specific operational sense, becomes a system of transformation whereby unconscious somatopsychic processes acquire the conditions for representability and become capable of translation into thoughts, words and interpretations. The rules of transformation applied by the patient in his representations and those applied by the analyst in his interpretations have the same importance for the analytic process as those described by Freud for the process of dreaming. The author discusses the broad categories of transformation adduced by Bion (rigid motion, projective, and in hallucinosis) and introduces some further distinctions within them.     

基于能力的类比推理映射转换的实验研究

旨在通过交叉映射的实验研究范式,证明存在一种独立于知识经验的基于能力的映射转换过程。研究结果表明：（1）瑞文高级推理测验的第二组题确实要难于第一组题;被试在转换题上的得分低于非转换题上的得分,转换题的设计效果明显,且表明是否需要进行心理上的转换确实影响了被试的解题成绩;不论题目难度的高低都不影响转换与非转换之间的差异。（2）存在着基于能力的映射转换,并且映射转换能力与析出关系能力之间呈中等程度的线性相关。实验可以区分出析出关系能力高、低的被试和转换能力高、低的被试。     

自我中心视角转换——基于自身的心理空间转换

自我中心视角转换是通过调整自我中心参考系以认知外界物体的心理过程,是相对于基于物体空间转换的另一种心理空间转换方式。行为数据显示自我中心视角转换存在观察者优势,脑成像结果也表明这类转换与基于物体空间转换存在脑区上的分离,这些结论都支持了多系统模型,说明自我中心视角转换是一种拥有独立脑机制的心理转换方式。自我中心视角转换的研究有其独特的理论和现实意义。     

A contemporary behavior analysis of anxiety and avoidance

Despite the central status of avoidance in explaining the etiology and maintenance of anxiety disorders, surprisingly little behavioral research has been conducted on human avoidance. In the present paper, first we provide a brief review of the empirical literature on avoidance. Next, we describe the implications of research on derived relational responding and the transformation of functions for a contemporary behavioral account of avoidance, before providing several illustrative research examples of laboratory-based analogues of key clinical treatment processes. Finally, we suggest some challenges and opportunities that lie ahead for behavioral research on anxiety and avoidance.     

Analysis of pairwise preference data using integrated B-splines

Pairwise preference data are represented as a monotone integral transformation of difference on the underlying stimulus-object or utility scale. The class of monotone transformations considered is that in which the kernel of the integral is a linear combination of B-splines. Two types of data are analyzed: binary and continuous. The parameters of the transformation and the underlying scale values or utilities are estimated by maximum likelihood with inequality constraints on the transformation parameters. Various hypothesis tests and interval estimates are developed. Examples of artificial and real data are presented.This investigation was supported in part by a research grant from the Natural Sciences and Engineering Research Council Canada.