A note on monotone polygons fitted to bivariate data

The monotone regression function of Kruskal and the rank image function of Guttman and Lingoes were fitted to bivariate normal samples and their statistical properties contrasted.This paper was written while the author was a Visiting Professor in the Department of Psychology, University College, London.     

Trend in correlated proportions

A random effects probit model is developed for the case in which the same units are sampled repeatedly at each level of an independent variable. Because the observed proportions may be correlated under these conditions, estimating their trend with respect to the independent variable is no longer a standard problem for probit, logit or loglinear analysis. Using a qualitative analogue of a random regressions model, we employ instead marginal maximum likelihood to estimate the average latent trend line. Likelihood ratio tests of the hypothesis of no trend in the average line, and the hypothesis of no differences in average trend lines between experimental treatments, are proposed. We illustrate the model both with simulated data and with observed data from a clinical experiment in which psychiatric patients on two drug therapies are rated on five occasions for the presence or absence of symptoms.Supported by a grant from the MacArthur Foundation and National Science Foundation Grant BNS85-11774.The authors are indebted to James Heckman for calling our attention to the Clark algorithm.     

The rank of reduced dispersion matrices

Psychometricians working in factor analysis and econometricians working in regression with measurement error in all variables are both interested in the rank of dispersion matrices under variation of the diagonal elements. Psychometricians concentrate on cases in which low rank can be attained, preferably rank one, the Spearman case. Econometricians cocentrate on cases in which the rank cannot be reduced below the number of variables minus one, the Frisch case. In this paper we give an extensive historial discussion of both fields, we prove the two key results in a more satisfactory and uniform way, we point out various small errors and misunderstandings, and we present a methodological comparison of factor analysis and regression on the basis of our results.Financial support by the Netherlands Organization for the Advancement of Pure Research (ZWO) is gratefully acknowledged.     

Tableau algorithms for factor analysis by instrumental variable methods

Simple tableau algorithms are given for the noniterative instrumental variable (FABIN 2) and two stage regression (FABIN 3) factor loading estimates of Hägglund. Corresponding generalized least squares estimates of factor covariances and unique variances are introduced. An example is given for the purpose of illustration and comparison.This research was supported by NSF Grant MCS-8301587.     

Some additional results on principal components analysis of three-mode data by means of alternating least squares algorithms

Kroonenberg and de Leeuw (1980) have developed an alternating least-squares method TUCKALS-3 as a solution for Tucker's three-way principal components model. The present paper offers some additional features of their method. Starting from a reanalysis of Tucker's problem in terms of a rank-constrained regression problem, it is shown that the fitted sum of squares in TUCKALS-3 can be partitioned according to elements of each mode of the three-way data matrix. An upper bound to the total fitted sum of squares is derived. Finally, a special case of TUCKALS-3 is related to the Carroll/Harshman CANDECOMP/PARAFAC model.     

A stochastic growth model applied to repeated tests of academic knowledge

In the course of the medical program at the University of Limburg, students complete a total of 24 progress tests, consisting of items drawn from a constant itembank. A model is presented for the growth of knowledge reflected by these results. The Rasch model is used as a starting point, but both ability and difficulty parameters are taken to be random, and moreover the logistic distribution is replaced by the normal. Both individual and group abilities are estimated and explained through simple linear regression. Application to real data shows that the model fits very well.     

An investigation of the normative and factor analytic composition of six questionnaires used for subject selection

Six self-report instruments which have been widely used for subject screening were administered to large samples of males and female college students. Normative information and bivariate correlations between scales were derived. Principal components analysis was applied to the individual scales to determine substructures. Finally, factor scores from the scales were examined in terms of second-order factors from an additional principal components analysis. The results are discussed in terms of comparisons with the results of previously published reports and implications for the discriminant validity of the scales and factor scores. The use of factor scores for more homogeneous subject selection is suggested.We wish to thank Arnold Holzman, Cynthia Volinsky, Ellen Tuckner, and Patricia Tolchin for their assistance in administering the questionnaires. Appreciation is also extended to Paul Malloy for his aid and suggestions concerning data analysis and to an anonymous reviewer for insightful comments which improved the quality of the final report. This study was conducted while the first author was at the State University of New York at Binghamton.     

With a brick in hand. Transformation in exile

‘I’m like the man who took along a brick/to show the world what his house was like.’ Reflecting on Bertolt Brecht’s brick, which is symbolically taken along from the homeland, allows us the opportunity to explore the changing modalities of traumatic experience in displaced persons. The brick does not merely represent lost objects, home, and homeland but also stands for the displaced person and his psychic integrity. The challenge for every displaced person is to transition away from the basic survival mode, dominated by the drives of self-preservation, to regain the ability to symbolize and to start dreaming again. The way a poet processes his own traumatic experiences of displacement and escape may serve as a roadmap for others. Works by Mario Benedetti and Bertolt Brecht, both émigré poets, alongside clinical examples, form the psychological material. Recurring thoughts of an uncertain return to the homeland may become debilitating, causing a displaced person to descend into mourning or melancholy and can even lead to open outbursts of previously strongly defended aggression. If it is not possible to sufficiently work through the trauma, then the bricks will fall everywhere. In the regressive emotionally charged condition, it holds true: in the beginning was the act.     

中小学校长心理授权与工作倦怠的关系研究

选取425名中小学校长进行问卷调查,考察校长心理授权和工作倦怠的现状,并探讨校长心理授权与工作倦怠的关系。结果发现:(1)校长心理授权和工作倦怠问卷的验证性因素分析模型与数据拟合良好。(2)校长心理授权在任职年限上存在显著差异,任职5年以下校长的胜任感和心理授权整体显著高于任职6～10年的校长,任职11年以上校长的自我决定显著高于任职6～10年的校长;(3)关于校长工作倦怠,男校长工作怠慢及工作倦怠整体显著高于女校长,学历为大专及以下校长的情绪衰竭、工作怠慢及工作倦怠整体显著高于学历为本科以上的校长,35岁以下校长的低成就感显著高于41～45岁和46岁以上的校长;(4)校长心理授权各维度与其工作倦怠各维度存在非常显著的负相关;回归分析表明,校长心理授权对其工作倦怠具有显著的负向预测作用。     

德性自我意象、道德情绪与行为自我管理：对大学生的一项交叉滞后研究

研究采用交叉时序滞后设计,以问卷法对363名大学生进行了6个月的追踪调查,考察了德性自我意象、道德情绪（内疚/羞愧）与行为自我管理之间的相互预测关系。结果表明,德性自我意象、内疚和羞愧均能显著地正向预测道德行为自我管理,德性自我意象、内疚和羞愧可能是道德行为自我管理的前因变量。