探索性因素分析、目标旋转与因素结构的一致性

在因素结构水平上评估跨群体的一致性是在心理学研究中常常遇见的一个问题,对此问题的解答,可以选择探索性因素分析→目标旋转→一致性评估这一途径。本文首先介绍正交目标旋转的简单原理,然后介绍其在心理研究中的应用以及相关软件和程序。目标旋转之后,结构一致性的量化可以采用一致性系数等指标,这些指标可采用一定的实证分布、近似处理或经验标准进行统计检验。之后采用一项实证数据,演示探索性因素分析、目标旋转以及结构一致性的评估方法。     

探索性因子分析及其在应用中存在的主要问题

探索性因子分析的发展非常迅速,已成为教育与社会心理学领域中最常用的统计方法之一。本文全面介绍了探索性因子分析的基本原理,阐述了其发生的机制及基本过程,对其在教育、心理领域应用中存在的问题进行了总结,并针对应用中样本容量和观测变量数目不够、因子求解方法的误用、因子数目的确定标准及因子旋转中存在的问题、因子值缺乏重复验证性、研究结果呈现形式不规范、过于依赖SPSS、缺乏主动性等问题提出了一些相应的建议。     

探索性因素分析——最近10年的评述

目的：(1)介绍国外心理统计学界对探索性因素分析中几个重大问题的基本观点;(2)系统地评述过去10年里(1991～2000年)我国心理学研究对这一技术的使用情况;(3)强调运用这一技术时值得注意的一些事项,以期这一技术对我国心理学研究发挥更大的作用。方法：作检索了《心理学报》和《心理科学》在1991～2000年间与探索性因素分析有关的章,对其中以探索性因素分析为主要研究方法的重点章(feature article)进行了编码,统计了频数及百分比分布。结果：我国心理学研究在积极使用探索性因素分析这一先进统计技术时还存在一些问题,主要表现在：(1)在确定因素个数时,倾向于机械地依靠桌个单一方法来作决定,(2)大量使用正交旋转,(3)过于依赖SPSS,(4)对因素分析过程中的重要信息／结果报告不够。结论：探索性因素分析在过去十年得到了广泛的应用,如能吸收国外同行的一些观点,探索性因素分析这一技术在我国心理学研究中必将获得更广泛有效的应用。     

Exploratory second-order analyses for components and factors

Abstract: Exploratory methods using second‐order components and second‐order common factors were proposed. The second‐order components were obtained from the resolution of the correlation matrix of obliquely rotated first‐order principal components. The standard errors of the estimates of the second‐order component loadings were derived from an augmented information matrix with restrictions for the loadings and associated parameters. The second‐order factor analysis proposed was similar to the classical method in that the factor correlations among the first‐order factors were further resolved by the exploratory method of factor analysis. However, in this paper the second‐order factor loadings were estimated by the generalized least squares using the asymptotic variance‐covariance matrix for the first‐order factor correlations. The asymptotic standard errors for the estimates of the second‐order factor loadings were also derived. A numerical example was presented with simulated results.     

A factor simplicity index

We propose an index for assessing the degree of factor simplicity in the context of principal components and exploratory factor analysis. The new index, which is called Loading Simplicity, is based on the idea that the communality of each variable should be related to few components, or factors, so that the loadings in each variable are either zero or as far from zero as possible. This index does not depend on the scale of the factors, and its maximum and minimum are only related to the degree of simplicity in the loading matrix. The aim of the index is to enable the degree of simplicity in loading matrices to be compared.The author would like to thank the review team for their insights and recommendations. This work was supported by a grant SEC2001-3821-C05-C02 from the Spanish Ministry of Science and Technology.     

大学生社会适应性问卷的初步编制

在理论分析的基础上,结合国内外的研究成果,通过探索性因素分析和验证性因素分析,编制大学生社会适应性问卷。结果发现,(1)问卷由自我调节、自我评价、学习管理、就业准备、人际交往、角色适应六个分量表构成。(2)各分量表及问卷的a系数分别为0.859、0.847、0.826、0.742、0.751、0.757、0.902。(3)验证性因素分析所提取的6个因子构建的模型拟合较好。问卷具有较好的信度和效度,可以用于大学生社会适应性的测量。     

青少年攻击性问卷的编制

在青少年攻击性理论与当代青少年攻击性表现的基础上,结合国外的研究成果以及专家评定,通过探索性因素分析和验证性因素分析,编制了一个适合青少年攻击性评估的问卷。结果发现：（1）自编的“青少年攻击性问卷”由攻击性行为、攻击性认知和攻击性情绪3个分量表构成。攻击性行为分量表由口头攻击、身体攻击、自我发泄3个维度构成;攻击性认知分量表由敌对、恶意、报复心理3个维度构成;攻击性情绪分量表由易怒性、冲动、缺乏自我控制能力3个维度构成;（2）问卷的内部一致性系数和维度与分量表、总分以及分量表与总分的相关系数达到显著水平,量表的内容效度、结构效度、实证效度较高。     

中学生思维风格结构及其测量

本研究在文献分析和开放调查的基础上,构建了中学生思维风格的理论结构,并据此编制了中学生思维风格量表。对测量结果进行探索性和验证性因素分析表明:思维风格是一个单一维度的整体-分析型结构,它包括两个呈两极连续性的整体和分析因素,可以用来说明复杂多样的具体思维风格类型。     

4～6年级小学生学习动机的结构分析

采用探索性因素分析方法,对4～6年级小学生的学习动机结构进行了分析。研究结果表明：(1)小学生学习动机包括回报动机、求知动机、交往趋利动机、利他动机、学业成就动机、生存动机、实用动机七类。(2)男生在交往趋利动机、生存动机、实用动机上动机强度高于女生,重点和非重点小学学生在七种学习动机上差异不显著。(3)四、五年级小学生的学习动机结构差别不大,六年级小学生开始形成具有长远社会意义的自我实现动机。     

大学生学校适应性简明问卷的编制与验证

该研究旨在探讨当前大学生学校适应性的结构维度并编制简明评定问卷,运用了探索性因素分析和验证性因素分析的方法。结果表明,我国大学生学校适应性的结构维度包括四个方面的内容,分别是学习能力适应、人际关系适应、学校政治适应、学校文化适应。研究结果还显示,大学生学校适应性评定问卷具有良好的信度和效度指标,问卷的α系数达到0.80,探索性因素分析中总方差解释量达到62.89%,验证性因素分析的各项指标均达到理想水平。     

《大学生主观幸福感量表》的编制

根据国内外关于主观幸福感的文献和已有的研究经验,编制了大学生主观幸福感问卷。以往大多数研究认为,主观幸福感由生活满意度和情绪体验两个基本成分构成,本研究认为主观幸福感还应包括社会性行为和人际关系等成分。对376名大学生进行初测,通过探索性因素分析,表明大学生主观幸福感由自我满意、家庭满意、消极情绪、积极情绪、精力、生活满意、社会性行为和人际关系8个维度构成,共41个项目。对511名大学生施测41个项目的主观幸福感问卷,进行验证性因素分析,结果表明,上述结构是合理的。     

Acquiescent Responding in Balanced Multidimensional Scales and Exploratory Factor Analysis

Personality tests often consist of a set of dichotomous or Likert items. These response formats are known to be susceptible to an agreeing-response bias called acquiescence. The common assumption in balanced scales is that the sum of appropriately reversed responses should be reasonably free of acquiescence. However, inter-item correlation (or covariance) matrices can still be affected by the presence of variance due to acquiescence. To analyse these correlation matrices, we propose a method that is based on an unrestricted factor analysis and can be applied to multidimensional scales. This method obtains a factor solution in which acquiescence response variance is isolated in an independent factor. It is therefore possible, without the potentially confounding effect of acquiescence, to: (a) examine the dominant factors related to content latent variables; and (b) estimate participants’ factor scores on content latent variables. This method, which is illustrated by two empirical data examples, has proved to be useful for improving the simplicity of the factor structure. This research was partially supported by a grant from the Spanish Ministry of Science and Technology (SEJ2005-09170-C04-04/PSIC), and a grant from the Catalan Ministry of Universities, the Research and Information Society (2005SGR00017). The authors are obliged to the team of reviewers for helpful comments on an earlier version of this paper.     

Selection of variables in exploratory factor analysis: An empirical comparison of a stepwise and traditional approach

The purpose of this study was to investigate and compare the performance of a stepwise variable selection algorithm to traditional exploratory factor analysis. The Monte Carlo study included six factors in the design; the number of common factors; the number of variables explained by the common factors; the magnitude of factor loadings; the number of variables not explained by the common factors; the type of anomaly evidenced by the poorly explained variables; and sample size. The performance of the methods was evaluated in terms of selection and pattern accuracy, and bias and root mean squared error of the structure coefficients. Results indicate that the stepwise algorithm was generally ineffective at excluding anomalous variables from the factor model. The poor selection accuracy of the stepwise approach suggests that it should be avoided.     

国有企业新员工组织社会化内容的维度研究

在项目搜集、预试与正式调查的基础上,编制了一套具有良好信度和效度的新员工组织社会化问卷。对部分国有企业的员工进行调查,探索性因素分析的结果表明,国有企业员工的组织社会化内容由胜任工作社会化、组织文化社会化和领导政治社会化三个维度构成。文章最后对国有企业员工的组织社会化内容维度与已有研究成果的异同以及不同人口学变量的新员工组织社会化内容的差异进行了分析与讨论。     

青少年与同伴自我表露问卷的编制

从青少年与同伴自我表露的主题入手,以文献研究和已有问卷为基础,结合开放式问卷所获资料,编制青少年与同伴自我表露问卷。对917名青少年进行了施测,对调查数据进行探索性因素分析和验证性因素分析。探索性因素分析结果表明,青少年与同伴自我表露的主题包括亲子关系、身体发育、兴趣爱好、亲密友谊、学习情况、学校经历和观点态度7个方面;验证性因素分析结果表明,所提取的7个因素与构想模型拟合较好,自编的青少年与同伴自我表露问卷的信、效度均达到心理测量学的要求     

The Ethnic Adornment Survey (EAS): Measuring Individuals’ Use of Clothing to Express Ethnic Identity

The present paper introduces the Ethnic Adornment Survey as a measure of the relative frequency with which individuals use clothing to express their ethnic identity. Results of exploratory factor analyses in a pilot study (n = 174) and confirmatory factor analyses in a main study (n = 217) revealed that the Ethnic Adornment Survey measures two positively correlated, yet distinct, ethnic adornment factors (i.e., socially desirable and undesirable aspects). Moreover, results of regression analyses indicated that (1) self-esteem was positively predicted by socially desirable aspects of ethnic adornment (p’s < .05 in both studies); whereas (2) self-esteem was negatively predicted by socially undesirable aspects of ethnic adornment (p’s < .05 in the pilot study and < .10 in the main study). Implications for research on ethnic identity are discussed.