Exercise 8.51
Find the impact on the Gini index and on L(p=0.5) of a predicted increase of 3% in everyone's expenditures FDEQ. Compare your results to those for a similar 3% increase in NFDEQ.
Answer

RECALL

 
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: CURVES|CONCENTRATION CURVES

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

RESULTS
FOOD
  • Estimated : Cfood(p=0.5)-  L(p=0.5)=0.08251004
  • mfood/m = 0.34570105 : you can compute this ratio by the application : DITRIBUTION|STATISTICS
  • Total impact on L(p=0.5)= 3% * 0.34570105 *   0.08251004 =   0.000855714223906
  • Total impact on Gini          = 3% * 0.34570105 * -0.20100480 = -0.002084627112451

NON FOOD.

  • Estimated : CNon_food(p=0.5)-  L(p=0.5)=0.08251004
  • mfood/m = 0.34570105 : you can compute this ratio by the application : DITRIBUTION|STATISTICS
  • Total impact on L(p=0.5)= 3% * 0.42891857 *  -0.04143449 =  -0.000533160665984379
  • Total impact on Gini          = 3% * 0.42891857 *   0.07743366 =    0.000996382041511986