publication . Article . Other literature type . 2012

Principles and Practice of Scaled Difference Chi-Square Testing

Albert Satorra;
  • Published: 20 Jul 2012 Journal: Structural Equation Modeling: A Multidisciplinary Journal, volume 19, pages 372-398 (issn: 1070-5511, eissn: 1532-8007, Copyright policy)
  • Publisher: Informa UK Limited
We highlight critical conceptual and statistical issues and how to resolve them in conducting Satorra–Bentler (SB) scaled difference chi-square tests. Concerning the original (Satorra & Bentler, 2001) and new (Satorra & Bentler, 2010) scaled difference tests, a fundamental difference exists in how to compute properly a model's scaling correction factor (c), depending on the particular structural equation modeling software used. Because of how LISREL 8 defines the SB scaled chi-square, LISREL users should compute c for each model by dividing the model's normal theory weighted least-squares (NTWLS) chi-square by its SB chi-square, to recover c accurately with both...
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