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 Syed Ali posted on Monday, September 28, 2020 - 9:38 am
We are trying to compare the effect of two predictors and we are trying to find a proper statistical test to test the difference between two predictors.

In a ML regression model what is the best way to test the difference between two beta coefficients from two different continuous scales where x1 ranges 0-20 and x2 300-500, and the predictor is on a likert scale 1-4.
 Bengt O. Muthen posted on Monday, September 28, 2020 - 5:50 pm
Because of the different X variable scales, it seems like you would need to test that the standardized slopes are equal which you can do via Model Constraint.
 Syed Ali posted on Monday, October 05, 2020 - 10:47 am
I have seen criticism that using standard betas is too influenced by the variance of the X variable and so we should NOT use the unstandardized coefficients.


I want to answer the question which effect is greater between x1 and x2. Another approach suggests to test the difference through the 95% Confidence Intervals via bias corrected bootstrap. Please see this video for reference : https://www.youtube.com/watch?v=NnqCp5CjTwk
In this short 6 minute video they talk about a more precise way to do this in SPSS Amos towards the end (at time index 6:10) following the procedures by Cumming (2009). Is there something similar in mPlus?
 Bengt O. Muthen posted on Monday, October 05, 2020 - 5:23 pm
The critique of standardized slopes is mostly when you compare across groups - where there can be group differences in variances that distort (whereas unstandardized slopes are not so affected). Without looking at this video in whole, I think he is talking about non-symmetric (bootstrapped) confidence intervals for the difference between standardized slopes. You can get these using Model Constraint where you express the standardized slopes and their differences.
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