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标准误差估计在无约束因子分析中的应用:因子载荷和相关性的显著性检验。

Applications of standard error estimates in unrestricted factor analysis: significance tests for factor loadings and correlations.

作者信息

Cudeck R, O'Dell L L

机构信息

Department of Psychology, University of Minnesota, Minneapolis 55455.

出版信息

Psychol Bull. 1994 May;115(3):475-87. doi: 10.1037/0033-2909.115.3.475.

DOI:10.1037/0033-2909.115.3.475
PMID:8016288
Abstract

Estimates of standard errors of factor loadings and factor correlations in the unrestricted factor analysis model can be computed for oblique or orthogonal solutions under maximum likelihood. This information can be used to test individual coefficients for significance, to evaluate whether an orthogonal or oblique structure is most consistent with sample data, or to compute confidence intervals for single parameters or confidence regions for arbitrary groups of coefficients. Because the number of parameters estimated in factor analysis is approximately the product of number of variables multiplied by number of factors, a Bonferroni correction for the critical point of the individual test statistics is recommended to control the probability of a Type I error. Several examples are presented.

摘要

在最大似然法下,可针对无约束因子分析模型中的斜交或正交解计算因子载荷和因子相关性的标准误差估计值。此信息可用于检验单个系数的显著性,评估正交或斜交结构是否最符合样本数据,或计算单个参数的置信区间或任意系数组的置信区域。由于因子分析中估计的参数数量大约是变量数量与因子数量的乘积,因此建议对单个检验统计量的临界点进行邦费罗尼校正,以控制I型错误的概率。文中给出了几个示例。

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Psychol Bull. 1994 May;115(3):475-87. doi: 10.1037/0033-2909.115.3.475.
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