different 'Beta' values in the same Effect coding in regression

[MisheAal Levi]

I have entered a categorial variable (country) to a regression and I coded their values in Effect coding (0, 1, -1). In other words, I put them in the regression to get the 'beta' values of the coefficients as in the post-regression contrast (compared to the grand mean). I did the analysis twice, each time another country got the value -1 in order to getting data also about the comparison country.

I ended up getting results of the two regressions with the same coefficients, standard deviations, and significance. Only the value of the beta came out different the two times I ran the regressions. I don't understand how it can be! To my understanding, beta is simply the standardized coefficient.

I attach both outputs, marked a random country, but you can see that in both outputs all the values of all countries are completely identical except the 'beta' values.

Questions:
A. How can such a situation arise? How is the beta calculated in stata ?
B. How, however, can I get the correct 'beta' values for a categorical variable in the effect coding for comparison to the grand mean? Is there any way to do this in Stata?

Thanks!

[MisheAal Levi]

Someone??

[Phil Bromiley]

You'll increase your chances of a useful answer by following the FAQ on asking questions - provide Stata code in code delimiters, readable Stata output (fixed spacing fonts help) and sample data using dataex. Do not post files or pictures.

These are not identical models - country1 appears in one and not the other. But it is very strange that all the other parameters are identical. If you can create a small example that you can post, someone could take a look at it.