Exercise 8.31

Compute the Gini inequality index for TTEXP, EXPEQ and INCOMEQ. Do this for values of r equal to 1, 2 and 3. Then, draw these indices for each of these variables on a graph for r ranging from 1 to 5.

Answer
STEP 1: Initialising  the sampling weight: EDIT|Set Sample Design

 

  • After choosing the appropriate variable(s), click on  the button OK.

STEP 2: Use the DAD Application: INEQUALITY|S-GINI

  • After choosing the appropriate variable(s) and parameters, click on the GRAPH button.

 

RESULTS

Gini / S-Gini (Inequality)

Session Date Mon Aug 16 14:07:59 EDT 2004
Execution Time 0.156 sec
FileName ESPMEN.daf
OBS 2000
Sampling Weight WEIGHT
Variable of interest TTEXP
Size variable Without size
Group variable No Selection
Group Number 1
Parameter ρ=2.0

Estimated value

Standard deviation

Lower bound

Upper bound

Confidence Level in (%)

0.57371044

0.01013367

0.55384881

0.59357208

95.00000000

Gini / S-Gini (Inequality)

Session Date Mon Aug 16 14:09:59 EDT 2004
Execution Time 0.125 sec
FileName ESPMEN.daf
OBS 2000
Sampling Weight WEIGHT
Variable of interest EXPEQ
Size variable SIZE
Group variable No Selection
Group Number 1
Parameter ρ=2.0

Estimated value

Standard deviation

Lower bound

Upper bound

Confidence Level in (%)

0.56127267

0.01059287

0.54051103

0.58203431

95.00000000

Gini / S-Gini (Inequality)

Session Date Mon Aug 16 14:11:15 EDT 2004
Execution Time 0.125 sec
FileName ESPMEN.daf
OBS 2000
Sampling Weight WEIGHT
Variable of interest INCOMEQ
Size variable SIZE
Group variable No Selection
Group Number 1
Parameter ρ=2.0

Estimated value

Standard deviation

Lower bound

Upper bound

Confidence Level in (%)

0.60529713

0.00982893

0.58603278

0.62456147

95.00000000