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bygroup (.groupaar^) requests poverty decompositions by population subgroup, with subgroup membership summarized by
groupvar.

Saved results

S-FGTO     FGT(0), defined above

S-FGTl     FGT(1), defined above

S-FGT2     FGT(2), defined above

Example

Let consider first the case in which there is a common poverty line, taken for illustration to be equal to half average
needs-adjusted income, and decompose poverty by tenure subgroups.

. local z = .5*'mean^z

. povdeco eybhc [fw=wgt], pl('z^z) by(tenure)

Warning: eybhc has 20 values < 0. Used in calculations

Total number of observations = 6468

Weighted total no. of observations = 55851705
Number of observations poor = 1327
Weighted no. of obs poor = 11336320
Mean of eybhc amongst the poor =    86.711

Mean of poverty gaps (poverty line - eybhc) amongst the poor =    29.798

Foster-Greer-Thorbecke poverty indices, FGT(a)
----------₊-----------------------------------
All obs I         a=0          a=l          a=2

----------₊-----------------------------------
I    0.20297     0.05191     0.02387

----------₊-----------------------------------
FGT(O) : headcount ratio (proportion poor)
FGT(I): average normalised poverty gap
FGT(2): average squared normalised poverty gap
Decompositions by subgroup

Summary statistics for subgroup к = !,...,K

Subgroup FGT index estimates, FGT(a)

Subgroup poverty ^zshare^z, S_k = v_k.FGT_k(a)/FGT(a)

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