Generalizations of the partial,part and bipartial canonical correlation analysis

Theg ₁- andg ₂-bipartial canonical correlation analyses are developed as generalizations of the partial, part, and bipartial canonical correlation analysis. Illustrative examples are provided.     

Matrix formulas for part and partial correlation

General formulas for part and partial correlation of any order are derived in terms of multiple correlation coefficients, standard partial regression weights, and validities. The relationship between part correlation and the independent contribution of a predictor is discussed.     

The technique of path coefficients

A derivation of equations fundamental to the technique of path coefficients is given. Suggestions are made with respect to the calculations required in the use of the technique. The relations of the technique to those of partial correlation, semi-partial correlation, part correlation, multiple correlation, and factor analysis are discussed. Some consideration is given to the merits and limitations of the technique of path coefficients.     

应用多质-多评价者程序对评定误差的分析

应用多质 -多评价者矩阵分析绩效评定中两种常见误差 -光环效应和自我中心效应。以足球运动员为被评价者 ,以关键事件技术为职务分析方法获得绩效评定特质。以 45名被试观看足球比赛后评定的各职务特质间的相关为基础相关系数 ;两组共 8名被试观看录像剪辑并采用两种评价标准作评价 ,计算各特质评定结果间的相关系数 ,并整理为多质 -多评价者矩阵。结果表明 ,多质 多评价者矩阵可以直观显示光环效应 ;评价者在不同职务的个别特质上表现出自我中心效应。     

On the estimation of the tetrachoric correlation coefficient

This paper presents briefly the rationale of the tetrachoric correlation coefficient. Pearson's results are outlined and several estimates of the coefficient are given. These estimates are compared with Pearson's expressions to determine the relative accuracy of the various approximations in determining the tetrachoric correlation coefficient.Preparation of this paper was supported in part by Fellowship 1-F1-MH-24, 324-01, from the National Institute of Mental Health; and in part by the Tri-Ethnic Research Project, Grant 3M-9156 from the National Institute of Mental Health to the Institute of Behavioral Science, University of Colorado. This paper comprises Publication Number 57 of the Institute. The author would like to thank D. E. Bailey for his helpful comments and criticisms.     

Adjustments to the correction for attenuation

With respect to the often-present covariance between error terms of correlated variables, D. W. Zimmerman and R. H. Williams's (1977) adjusted correction for attenuation estimates the strength of the pairwise correlation between true scores without assuming independence of error scores. This article focuses on the derivation and analysis of formulas that perform the same function for partial and part correlation coefficients. Values produced by these formulas lie closer to the actual true-score coefficient than do the observed-score coefficients or those obtained by using C. Spearman's (1904) correction for attenuation. The new versions of the formulas thus allow analysts to use hypothetical values for error-score correlations to estimate values for the partial and part correlations between true scores while disregarding the independence-of-errors assumption.     

The statistical regression phenomenon: I. A metamodel

A metamodel for the traditional regression concept—consisting of two general parts—is proposed. The first part contains the basic and general definition of the concept, together with the central assumptions. The phenomenon is essentially defined as a conditional trend, predicted within a linear and bivariate regression system for a specified population, and as a function of the imperfectness of the correlation and of the extremeness of the selected score. The second part of the metamodel consists of special cases of the regression phenomenon, which are defined with respect to various psychometrical/distributional aspects, to various "sources" which reduce the correlation coefficient, and to observed and true scores. Also, the general features of the metamodel are elaborated, and correct and incorrect interpretations are pointed out.     

CHANGING VIEWS FOR PERSONNEL SELECTION RESEARCH

Changes in views of personnel selection research include changing opinions about choosing predictors and criteria, methods of data collection, and methods of evaluating selection procedures. In particular, distinctions are (or can be) made between job-relatedness, inferred in part from validity coefficients based on job-related criteria, and the valid measurement of a trait (attribute), inferred in part from research using construct-related criteria. The major change identified is a reduction in the sanctity with which a single correlation is viewed for either purpose.     

Relating individual differences in Attitude toward Ambiguity to risky choices

Subjects (76 adult Italians of varying ages) completed a two‐part procedure. One part used an Ellsberg‐type task which allowed for both aggregate and individual level analysis of Attitude toward Ambiguity. The other part used an expanded risky choice task to assess the same subjects' Attitude toward Risk. While there was an overall tendency for subjects to be slightly ambiguity‐averse, there was a positive correlation between Attitude toward Ambiguity and Attitude toward Risk. This relation was particularly strong when the risky choice was to avoid a loss rather than to achieve a gain. Copyright © 2001 John Wiley & Sons, Ltd.     

A note on the estimation of nonspurious correlations

A method is provided for estimating the nonspurious correlation of a part of a test with the total test. Two cases are considered: one in which the actual subtest is parallel to the total test, the other in which the actual subtest is not parallel to the total test.     

A comparison of computer routines for the calculation of the tetrachoric correlation coefficient

In calculations of the discriminating-power parameter of the normal ogive model, Bock and Lieberman compared estimates derived from their maximum-likelihood solution with those derived from the heuristic solution. The two sets of estimates were in excellent agreement provided the heuristic solution used accurate tetrachoric correlation coefficients. Three computer methods for the calculation of the tetrachoric correlation were examined for accuracy and speed. The routine by Saunders was identified as an acceptably accurate method for calculating the tetrachoric correlation coefficient.This research was supported in part by NSF Grant E 1930 to The University of Chicago. The author wishes to thank Dr. David R. Saunders and Dr. Ledyard Tucker for the use of their original materials and Dr. R. Darrell Bock for his many helpful suggestions and his ready counsel throughout the course of this investigation.     

Critique of Scarr and Weinberg's IQ adaption study: Putting the problem in perspective

In the first part of this article, Scarr and Weinberg's results are compared to those of similar studies and there is found to be considerable congruence despite the uniqueness of the Scarr and Weinberg sample. This comparison provides a perspective for understanding some of the problems raised by Scarr and Weinberg. The second part looks to the future and suggests that the major contribution of behavioral genetics in psychology may be to increase our understanding of the environment. Examples supporting this prediction are the concepts of genotype-environment interaction, genotype-environment correlation, environmental variance between and within families, and the “structure” of environmental influences in behavior.     

Correction of item-total correlations in item analysis

The biserial correlation between an item and the total test of which the item is a part tends to be misleadingly high when used in item analysis, since the item is included in the total test. Two formulas with correction for this overlap are derived and compared with Zubin's and Guilford's formulas. One of the new coefficients is invariant to test length.     

First-Pass versus Second-Pass Parsing Processes in a Wernicke''s and a Broca''s Aphasic: Electrophysiological Evidence for a Double Dissociation

The present paper is a first attempt to integrate the classical brain lesion behavioral impairment approach of functional neuroanatomy and the electrophysiological brain mapping approach in the domain of syntactic processing. In a group of normal age-matched controls we identified three electrophysiological components previously observed in correlation with language comprehension processes: an early left anterior negativity normally seen in correlation with syntactic first-pass parsing processes (ELAN), a centroparietal negativity seen in correlation with processes of lexical-semantic integration (N400), and a late centroparietal positivity observed in correlation with secondary syntactic processes of reanalysis and repair (P600). The early left anterior negativity was absent in a patient with an extended lesion in the anterior part of the left hemisphere sparing the temporal lobe, although the late centroparietal positivity and the centroparietal N400 were present. In a patient with a left temporal-parietal lesion the early left anterior negativity was found to be present, whereas the N400 component was absent. These findings suggest that first-pass parsing and secondary processes are subserved by distinct brain systems.     

Bodies and their parts

How do we think about the space of bodies? Several accounts of mental representations of bodies were addressed in body part verification tasks. Animagery account predicts shorter times to larger parts (e.g., back < hand). Apart distinctiveness account predicts shorter times to more discontinuous parts (e.g., arm < chest). Apart significance account predicts shorter times to parts that are perceptually distinct and functionally important (e.g., head < back). Because distinctiveness and significance are correlated, the latter two accounts are difficult to distinguish. Both name-body and body-body comparisons were investigated in four experiments. In all, larger parts were verified more slowly than smaller ones, eliminating the imagery/size account. Despite the correlation between distinctiveness and significance, the data suggest that when comparisons are perceptual (body-body), part distinctiveness is the best predictor, and when explicit or implicit naming is involved, part significance is the best predictor. Naming seems to activate the functional aspects of bodies.     

The measurement of cognitive impulsiveness: Psychometric properties of two automated adult versions of the Matching Familiar Figures Test

An automated version of the Matching Familiar Figures Test (MFFT) was administered to undergraduates, along with a parallel from. The latency-errors correlation (–0.61) was higher than that reported for most studies in children and weakly supports the view that the correlation increases with age. Repeated exposure resulted in improved performance, which was faster, more accurate, and more efficient, but there was no effect on impulsiveness. Reliability and internal consistency of both forms were acceptably high and the forms were comparable. Use of the univariate measures (impulsiveness-reflectiveness and efficiency-inefficiency) is superior to other scoring methods.Supported in part by a grant from the Nuffield Foundation, England.     

Accuracy and Confidence in Person Identification: The Relationship Is Strong When Witnessing Conditions Vary Widely

We hypothesized that both accuracy and confidence in suspect identifications depend, in part, on participants' ability to identify the target, and that both accuracy and confidence therefore tend to be higher under conditions that lead to good memory for the target than under conditions that lead to poor memory for the target. Furthermore, we hypothesized that a substantial correlation between accuracy and confidence will be observed if, because of variations in conditions, there is considerable variability across participants in ability to identify the target. Consistent with these hypotheses, manipulations that affected accuracy also affected confidence in the same direction, and when data were collapsed across conditions the accuracy-confidence correlation was substantial (mean r = .59).     

考前焦虑、成就目标和考试成绩关系的研究

该研究以238名参与者为样本,对其考前焦虑、成就目标及高考成绩进行了考察,采用相关分析和回归分析技术探讨了三者之间的关系.结果表明,高考生的焦虑水平远远高于一般正常人;考前焦虑与掌握趋近目标显著负相关,与掌握回避目标和成绩回避目标显著正相关.掌握趋近目标和掌握回避目标是状态焦虑的预测变量,而特质焦虑的预测变量同时包括四种目标定向;高考总分和英语与考前焦虑显著负相关,成就目标与高考成绩的相关较弱.     

Elevated prolactin levels among adult male sex offenders

A sample of 528 successive admissions to the Phoenix Program, a voluntary inpatient treatment program for sex offenders, was studied in regards to serum prolactin levels. Serum prolactins were obtained as part of a battery of endocrine tests. A substantial number of patients had prolactin levels above the normal range, i.e., 21.0 microg/L. In this sample, fully 10.0% of the men showed elevated prolactin levels (the maximum being 41.0 microg/L), compared with an expected 2.5% according to laboratory norms. None of these individuals had clinical manifestations of prolactinoma. The significance of this increased rate of hyperprolactinemia in this sample of sexual offenders is unclear. There was a negative correlation with age and no correlation with other endocrine tests.     

Jackknifing disattenuated correlations

The utility of the jackknife for constructing confidence intervals and testing hypotheses about the disattenuated correlation is evaluated for small samples. Computer simulations were used to generate the empirical sampling distributions of jackknife statistics for two sample sizes (30, 60), five values of the disattenuated correlation coefficient (1.00, .90, .80, .50, .00) and three pairs of reliabilities (.90, .80; .80, .80; .90, .50). The theoretical and cumulative proportions of jackknife statistics were compared at selected points in the appropriatet-distributions. The results obtained support the claim that the jackknife can be used to construct sensible confidence intervals. However, the jackknife possesses limited utility for testing hypotheses about the disattenuated correlation coefficient.This paper is based upon part of the author's doctoral dissertation (Rogers, 1971) completed at the University of Colorado. The author gratefully acknowledges Dr. Gene V. Glass for his interest and encouragement shown in completing this research.