Hello
To interpret the beta coefficients (beta regression model)in the stata in the stata help written:
we cannot determine the magnitude of the effect from these results. In general, when you use betareg, the best way to obtain interpretable
effect sizes for the covariates is by using margins. ( image 10)
Marginal output in stata for the Summer variable. (image30)
Pay attention to betas and interpretation.
I have seen in many places, regardless of the margin, the same betas related to the original model are interpreted as add-ons and do not use the margin.
What do you think I should do to use Marginal or not?
You could calculate the marginal effect with every explanatory variable at its mean, and then average them to get the average marginal effect. This technique can be utilized to compare groups in binary regression models. You could refer to Long and Mustillo (2018) for details. Here is the full citation.
Long, J. S., & Mustillo, S. A. (2018). Using predictions and marginal effects to compare groups in regression models for binary outcomes. Sociological Methods & Research, 50(3), 1284–1320. https://doi.org/10.1177/0049124118799374
Good luck,
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