fractionalisation and Polarisation

[Mukesh Punia]

Dear users, I want to create an index of district-wise fractionalisation and Polarisation.
There are two groups and four districts in my data.

bysort district group: gen group_count = _N  // Count of each group within a district
bysort district: egen total_count = count(group)  // Total count of people in each district

**Ethnic Fractionalization**
bysort district: gen sharec=group_count/total_count //each group's share in respective district total
bysort district: gen sharec_sq=sharec*sharec //square of each group's share

How to proceed further to construct final Indices?

The reference paper is: https://www.jstor.org/stable/4132741

* Example generated by -dataex-. To install: ssc install dataex
clear
input float(group district group_count total_count sharec sharec_sq)
1 1 216 381 .56692916  .3214087
1 1 216 381 .56692916  .3214087
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2 4 106 254  .4173228 .17415835
2 4 106 254  .4173228 .17415835
end

Thank you!

I am using STATA 15.1, SE

[Mukesh Punia]

Dear Clyde Schechter George Ford Carlo Lazzaro can you please find some time to look into it.

[Nick Cox]

This may help, modulo subtraction from 1.

. order district group

. sort district group

. egen tag = tag(district group)

. egen wanted = total(tag * sharec_sq), by(district)

. tabdisp district group, c(sharec* wanted)

------------------------------
          |       group       
 district |        1         2
----------+-------------------
        1 | .5669292  .4330709
          | .3214087  .1875504
          | .5089591  .5089591
          | 
        2 | .6363636  .3636364
          | .4049587  .1322314
          | .5371901  .5371901
          | 
        3 |   .65625    .34375
          | .4306641  .1181641
          | .5488281  .5488281
          | 
        4 | .5826772  .4173228
          | .3395127  .1741583
          |  .513671   .513671
------------------------------

[Mike Lacy]

To my understanding, the more methodologically focused publication on Reynal-Querol's polarisation measure is:
Marta Reynal-Querol. 2002. Ethnicity, Political Systems, and Civil Wars. Journal of Conflict Resolution. 46,1:29-54.

The so-called "rq index" ("IRC1") is on p. 33, if my old notes are correct. See -ssc describe rq-.

What I also have that might be of interest is that I derived the standard error of the rq index, and my program also calculates a Delta-Method estimator of that. I have never put this program out for the public, since it's no big deal. (I wrote it for a student of mine to use in her M.A. thesis so the code is not too "fancy." It is "byable," which appears relevant for your problem). If you want to contact me directly, we could work something out for you to use it..

(Added) To clarify: One of the authors of the article Mukesh cites is Reynal-Querol.