The present research examined the distributional properties of construct reliability indices and model fit metrics, explored relationships between and among the indices and metrics, and investigated variables influencing the relative magnitudes of the indices and metrics in structural equation measurement models. A broad-based meta-analysis of reported construct reliability indices and selected model fit metrics revealed modest relationships among reliability indices, minimal relationships among model fit metrics, and a virtual absence of relationships between reliability indices and model fit metrics. Differences in magnitudes of selected reliability indices and model fit metrics were found to primarily be a function of the (total) number of items employed in a measurement model. The implications of the findings suggest that the current practice of indiscriminately computing and reporting of reliability indices and model fit metrics based only on arbitrary heuristics should be abolished and replaced by theoretically justified indices and metrics.

中文翻译：

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构造可靠性指标和测量模型拟合指标的荟萃分析

本研究检查了结构可靠度指标和模型拟合指标的分布特性，探讨了指标和指标之间的关系，并研究了影响结构方程式测量模型中指标和指标的相对大小的变量。对报告的结构可靠性指标和所选模型拟合指标进行的基础广泛的荟萃分析显示，可靠性指标之间存在适度的关系，模型拟合指标之间的关系极少，而可靠性指标与模型拟合指标之间的关系几乎没有。发现所选可靠性指标和模型拟合指标的大小差异主要是测量模型中使用的（总数）项的函数。