Latent roots of random data correlation matrices with squared multiple correlations on the diagonal: A monte carlo study

In order to make the parallel analysis criterion for determining the number of factors easy to use, regression equations for predicting the logarithms of the latent roots of random correlation matrices, with squared multiple correlations on the diagonal, are presented. The correlation matrices were derived from distributions of normally distributed random numbers. The independent variables are log (N–1) and log {[n(n–1)/2]–[(i–1)n]}, whereN is the number of observations;n, the number of variables; andi, the ordinal position of the eigenvalue. The results were excellent, with multiple correlation coefficients ranging from .9948 to .9992.This research was supported by the Office of Naval Research under Contract N00014-67-A-0305-0012, Lloyd G. Humphreys, principal investigator, and by the Department of Computer Science of which Richard G. Montanelli, Jr., is a member.     

Comments on “the measurement of factorial indeterminacy”

Guttman's index of indeterminacy (2² – 1) measures the potential amount of uncertainty in picking the right alternative interpretation for a factor. When alternative solutions for a factor are equally likely to be correct, then the squared multiple correlation ² for predicting the factor from the observed variables is the average correlation _AB between independently selected alternative solutionsA andB, while var ( _AB )=(1 – ²)²/s, wheres is the dimensionality of the space in which unpredicted components of alternative solutions are to be found. When alternative solutions for the factor are not equally likely to be chosen, ² is the lower bound for E( _AB ); however, E( _AB ) need not be a modal value in the distribution of _AB . Guttman's index and E( _AB ) measure different aspects of the same indeterminacy problem.     

A look,by simulation,at the validity of some asymptotic distribution results for rotated loadings

In the last few years, a number of asymptotic results for the distribution of unrotated and rotated factor loadings have been given. This paper investigates the validity of some of these results based on simulation techniques. In particular, it looks at principal component extraction and quartimax rotation on a problem with 13 variables. The indication is that the asymptotic results are quite good.     

农村选民选举行为的结构特征

以云南省两个县八个自然村的 2 62名选民为被试 ,采用心理测量原理与技术探讨了农村选民选举行为的结构特征。结果表明 ,政见取向由“政策效应”、“民生意识”、“村民权益”和“监督机制”4个因素构成 ,非政见取向由“候选人身份”、“候选人德能”、“选民社会关系”、“候选人背景”、“选民自我利益”、“选民自我权利”和“政党意见”7个因素构成。经检验 ,由此构成的农村选举行为问卷具有较高的内部一致性 ,问卷项目具有较高的区分度。文章讨论了农村选民选举行为的结构特征及其意义。     

Caveats of non-ipsatization of basic values: A review of issues and a simulation study

Ipsatization, or a correction of variables by their common component, is routinely applied to measures of basic values. Although ipsatization has been criticized, the consequences of non-ipsatization are rarely discussed. We show that the ipsatization of values is intertwined with their definition. A common factor involved in ipsatization was suggested to represent a nuisance variable, a response style, social desirability, or other constructs. A simulation study illustrated that within-individual centering revealed more accurate value scores when the common factor was in the data, with exception of the situation when values were consistently and positively correlated with each other. We conclude that in different conditions both applying and failing to apply ipsatization can cause bias. Therefore, no general advice in regard to ipsatization can be provided.     

Agreeableness and the common core of dark traits are functionally different constructs

The Dark Factor of Personality (D) has been suggested as the basic disposition underlying dark traits, thereby representing their common core. However, it has also been argued that such commonalities reflect the low pole of Agreeableness. The present study (N = 729) employed five established inventories to model the Agreeableness construct and considered seven theoretically derived criterion variables, including one behavioral outcome. Results indicate that Agreeableness and D exhibit a substantial, but far from perfect, association of r = −.64. Further, D incrementally improved the prediction of all but one criterion measure. These results speak against the notion that the commonalities of dark traits can be reduced to low Agreeableness and rather support the contention to consider Agreeableness and D as functionally distinct constructs.     

A Validation of a Multicultural Competency Measure Among South Korean Counselors

The authors translated the California Brief Multicultural Competence Scale (CBMCS; Gamst et al., 2004), a measure of multicultural competence, into Korean for cross-cultural validation. An exploratory factor analysis followed by a confirmatory factor analysis on a sample of Korean counselors (N = 365) supported a 3-factor model: Multicultural Ability, Multicultural Knowledge, and Multicultural Awareness. The Korean version was deemed to possess sound psychometric properties, such as high test-retest reliability and criterion-related validity. Los autores tradujeron al idioma coreano la Escala Breve de Competencia Multicultural de California (CBMCS, por sus siglas en inglés; Gamst et al., 2004), un instrumento de medida de competencia multicultural, para su validación intercultural. Un análisis factorial exploratorio seguido de un análisis factorial confirmatorio sobre una muestra de consejeros coreanos (N = 365) respaldó un modelo de 3 factores: Habilidad Multicultural, Conocimiento Multicultural y Conciencia Multicultural. Se concluyó que la versión en coreano tenía propiedades psicométricas sólidas, como una alta fiabilidad de la repetición de las pruebas y una alta validez de criterio.     

A Multitrait–Multisource Confirmatory Factor Analytic Approach to the Construct Validity of ADHD and ODD Rating Scales with Malaysian Children

Confirmatory factor analysis (CFA) was used to model a multitrait by multisource matrix to determine the convergent and discriminant validity of measures of attention-deficit hyperactivity disorder (ADHD)-inattention (IN), ADHD-hyperactivity/impulsivity (HI), and oppositional defiant disorder (ODD) in 917 Malaysian elementary school children. The three trait factors were ADHD-IN, ADHD-HI, and ODD. The two source factors were parents and teachers. Similar to earlier studies with Australian and Brazilian children, the parent and teacher measures failed to show convergent and discriminant validity with Malaysian children. The study outlines the implications of such strong source effects in ADHD-IN, ADHD-HI, and ODD measures for the use of such parent and teacher scales to study the symptom dimensions.     

Masculinity, Femininity, and the Bem Sex Role Inventory in Turkey

The aim of this study was to examine the masculinity and femininity scales of Bem Sex Role Inventory (BSRI) among Turkish university students. Five hundred thirty-six students (280 men and 256 women) volunteered to complete the short-form of the BSRI and answer demographic questions. In factor analyses, the original factor structure (Bem, 1981) was found both in the mens and womens data. Comparisons of the factor structures with target rotation (Procrustes rotation) and comparison indexes showed no difference between the factor structures found among men and women. The internal consistency of the masculinity and femininity scales was acceptable, and t-tests showed that women scored higher on the femininity scale, and men scored higher on the masculinity scale. There were significant differences between men and women only on two masculinity items, but significant differences were found in 8 (of 10) femininity items.     

Measurement Structure of the Turkish Translation of the Child Behavior Checklist Using Confirmatory Factor Analytic Approaches to Validation of Syndromal Constructs

The new correlated 8-factor measurement structure of the Child Behavior Checklist for ages 6-18 (CBCL/6-18; T. M. Achenbach & L. A. Rescorla, 2001) derived from an American sample was used as a benchmark to evaluate its generalizability to Turkish general population (N = 5,195) and clinical (N = 963) samples. Item-level confirmatory factor analysis (CFA) was used to evaluate the adequacy of the correlated 8-factor model across 3 sample conditions (general population, clinical, and combined sample whose Total Problems scores were above the Turkish national median). The results supported the generalizability of the overall measurement structure of the CBCL to the Turkish population.