Testing Dependent Correlation Coefficients via Structural Equation Modeling
提出用结构方程模型统一检验独立和依赖的相关系数是否相等,解决传统方法编程复杂、难以实施的问题,并通过实例和模拟展示其优势。
Organizational researchers are sometimes interested in testing if independent or dependent correlation coefficients are equal. Olkin and Finn and Steiger proposed several statistical procedures to test dependent correlation coefficients in a single group, whereas meta-analytic procedures can be used to test independent correlation coefficients in two or more groups. Because computer programming is usually involved, applied researchers may find these procedures hard to implement, especially in testing the dependent correlation coefficients. This article suggests using a structural equation modeling (SEM) approach as a unified framework to test independent and dependent correlational hypotheses. To demonstrate the comparability among these approaches, examples and ad hoc simulation studies are used. Advantages of the SEM approach are also discussed.