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  • Multinomial logit models and vce(cluster) option. How to study the within group variance

    Dear stata users,

    I am utilizing a a cross sectional dataset and a multinomial logit model (MNL) to compute the probability of undertaking a set of different investment types by firms localized in a certain country.

    I have two questions in merit.
    The first one refers to how I can measure the variability within groups. That is, after running a standard MNL and obtaining non significant estimates, I re-estimate the MNL clustering the firms by region (first) and province (after) to obtain, in both cases, a significant improvement in the level of significance of the estimates. This could hence entail that the within group variability exerts a significant effect.
    However, contrary, e.g., to fixed effects model where u_ is reported (residuals within groups), in the MNL (and in probit models in general) I do not have such an information when I use the option vce(cluster).
    In light of this, I was wondering how to analyze the within group variance of the two clustered specifications, to see which one is better (instead of using, e.g., the BIC criteria). Is there a way to obtain the sigma u_ in the MNL? How can I study the variance within clusters? Is there perhaps a graphical way from which I could derive some insights?

    Secondly, I noticed that when I compute the marginal effects (form the MNL using the vce(cluster) option) sometimes, I obtain the coefficient estimates, whereas some other times (repeating exactly the same commands) I don't obtain anything, since I am reported that the "variance matrix is nonsymmetric or highly singular". Why does Stata report these two different outcomes in a random way?

    Many thanks.

    Jack

  • #2
    You didn't get a quick answer. 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, and sample data using dataex.

    I don't fully understand what you've run and the results. If you're interested in explaining variability within groups, xthybrid might be helpful. If you're sure you're getting different results with precisely the same code and data, you should contact Stata's help desk.

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