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ineqdeco for multiple categories (land inequality)?

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Dear Statalist Community,

I am having trouble calculating the theil index for land inequality using ineqdeco. I want to calculate this index for each of my municipalities. However, for each municipality, I have 10 categories of land plots by size. For each category I have data on the number of plots (num_cat*), and on the area of all plots by hectare (surfac_cat*).

I wanted to calculate land inequality taking into account the surface and the number of plots in each category. Basically, my goal was to replicate this formula of the theil index: https://psychology.fandom.com/wiki/I...t_computations.

However, I don't know how to operationalize that using ineqdeco, given that I have two things to consider (surface and number) and 10 categories...

Thank you so much!!

Cat

Code:
Variable    Obs    Mean    Std. dev.    Min    Max
                    
muni_code    3,330    3598.177    2027.443    4    7159
num_cat1    3,306    105.6086    167.9347    0    3295
num_cat2    3,306    70.99274    97.24655    0    2726
num_cat3    3,306    161.9897    168.7842    0    3361
num_cat4    3,306    66.8902    65.31594    0    903
                    
num_cat5    3,306    52.99335    59.39432    0    649
num_cat6    3,303    22.65789    34.31665    0    406
num_cat7    3,275    8.865954    18.14336    0    302
num_cat8    3,245    2.153467    6.430017    0    121
num_cat9    3,261    1.586017    4.444032    0    101
                    
num_cat10    3,229    .4168473    .9689932    0    14
surfac_cat1    3,204    23.85705    35.14102    0    890
surfac_cat2    3,204    55.17603    76.61556    0    2165
surfac_cat3    3,204    304.6957    313.7701    0    6267
surfac_cat4   3,204    255.9566    251.9805    0    3485
                    
surfac_cat5    3,204    363.7185    417.5487    0    4770
surfac_cat6    3,204    312.0147    485.0082    0    5657
surfac_cat7    3,204    261.8645    566.1812    0    10880
surfac_cat8    3,204    150.0268    459.4285    0    8735
surfac_cat9    3,204    324.7272    938.089    0    23031
                    
surfac_cat10    3,204    668.2612    1724.493    0    19849







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