Principles and Practice of Scaled Difference Chi-Square Testing

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The Psychological Mechanisms of Public Service Motivation (2016, methodology): “Following the suggestions of Bryant and Satorra (2012), we reported the original scaled maximum likelihood difference test (∆SBχ2 ) between the baseline model (Model 1) and comparison models (Models 2-5).”
The Impact of Organizational Commitment on Insiders’ Motivation to Protect Organizational Information Assets (2015, methodology): “Because we used the MLR estimator in Mplus, the statistics listed (e.g., the scaling correction factors) allow us to assess differences in χ2 scores via the Bryant and Satorra [10] approach.”
Reciprocal relations between students' academic enjoyment, boredom, and achievement over time (2017, methodology): “Nested models were compared to the reciprocal effects model using the Satorra– Bentler scaled χ2 difference test (TRd), appropriate for the MLR estimator (Bryant & Satorra, 2012; Satorra, 2000), and one relative fit index: the Akaike Information Criterion (AIC).”