ERIC Number: EJ1137736
Record Type: Journal
Publication Date: 2017
Abstractor: As Provided
Reference Count: 14
The Effect of Scale Referent on Tests of Mean Structure Parameters
Kang, Yoonjeong; Hancock, Gregory R.
Journal of Experimental Education, v85 n3 p376-388 2017
Structured means analysis is a very useful approach for testing hypotheses about population means on latent constructs. In such models, a z test is most commonly used for testing the statistical significance of the relevant parameter estimates or of the differences between parameter estimates, where a z value is computed based on the asymptotic standard error estimate associated with the parameter of interest. In the current article, a series of population analyses demonstrate that the z tests for latent mean structure parameters or, more directly, the standard error estimates upon which those z tests are based are, not invariant to how factors are scaled. As such, circumstances exist in which latent mean inference is compromised solely as a result of scaling decisions. This problem is illustrated in the context of between-subjects (i.e., multisample) latent means models and within-subjects latent means models. Recommendations for practice are also offered.
Descriptors: Models, Statistical Analysis, Hypothesis Testing, Statistical Significance, Structural Equation Models, Research Methodology, Measurement Techniques, Sampling
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Authoring Institution: N/A