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Shumei Li: I searched on the term "diversity faultline," which it turns out has denotative meaning in a particular literature, which I had not previously heard of. This stuff may be related to things with which a number of us here could help, as it appears that some of the literature is related to categorical variable measures of dispersion. Can you give some key citations to the literature? For example, it appears to me that the original source might be the article at https://journals.aom.org/doi/abs/10....mr.1998.533229, but that article does not give much technical detail.
Welcome to the forum. You need to remember that few if any of us come from your specific academic area. While I've read papers using faultline measures, I don't remember how they calculated the measures. So, you need to explain your problem in general statistical or other terms, and then we can help you. As always, you're more likely to get a useful answer if you follow the FAQ on asking questions - provide Stata code in code delimiters, readable Stata output, and sample data using dataex.
While some of those who write on faultlines may have used Stata, I don't know of any general routines they have made available to the community. So, you must start by trying to understand exactly how they calculated the measure. Then, try to calculate it. If you can't, either get back to us (providing what you've tried, the output, and some sample data) and explaining what you need to calculate, or try contacting others who use the measure and ask them for their code.
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