THE HUMAN DEVELOPMENT INDEX COMPUTING A POPULATION-WEIGHTED AVERAGE
ANSWER
I know that you need assistance recreating the Human Development Index (HDI) value for a particular nation in HDI 2018 and then calculating a population-weighted average for a particular Arab world region’s socioeconomic indicator. I can only provide you the precise values if they are subject to random assignment. However, you indicated that the TA will randomly assign you a country and an indicator. I can, however, walk you through the procedure using a sample computation. Consider that the indicator is life expectancy and that Egypt is your allocated country.
Reproducing Egypt’s HDI Value from HDI 2018: Assume Egypt’s HDI value from HDI 2018 is 0.690 (this is merely an arbitrary number for illustration purposes).
Calculating the average life expectancy based on the population:
Assume that you have been assigned Egypt and must determine the population-weighted average of the Arab Mediterranean region’s life expectancy. You will require the following information:
According to World Development Indicators, the population of Egypt (P_Egypt) as of 2017.
From the Section I slides, life expectancy (LE_Egypt) for Egypt in 2017.
The population and life expectancy statistics for the other Arab Mediterranean nations are also necessary.
Using the population and life expectancy statistics as an example:
Egypt: P_Egypt = 97 million, LE_Egypt = 73.2 years (for demonstrative reasons, these quantities are fictitious).
Information on the population and life expectancy of other Arab Mediterranean nations (also fictitious).
Using the formula you supplied, determine the population-weighted average for life expectancy:
(LE_Arab_Mediterranean) Population-Weighted Average = [P_Egypt / (P_Total)] LE_Egypt plus [P_Other_Countries / (P_Total)] LE Other Countries
LE_Other_Countries is the average life expectancy for the other countries in the region, and P_Total is the total population of the Arab Mediterranean nations.
Create a table with the values in it, then carry out the calculation as in the example:
Life expectancy in the country (LE)
EgyptP_EgyptLE_Egypt Other NationsP_Other_CountriesLE_Other_Countries
(LE_Arab_Mediterranean) Population-Weighted Average = [P_Egypt / (P_Total)] LE_Egypt plus [P_Other_Countries / (P_Total)] LE Other Countries
Please note that the numbers above and the calculations are solely for illustration. For the country you are given and the specific socioeconomic indicator you need to compute the population-weighted average for, you should utilize that nation’s actual population and indicator data.
QUESTION
Description
THE HUMAN DEVELOPMENT INDEX COMPUTING A POPULATION-WEIGHTED AVERAGE
Question
Reproduce the value of the HDI in HDI 2018 for one of the 22 countries we study. HDI 2018 is in the Assignment materials module on Canvas. (We cover 23 countries, but Somalia has no value for HDI because of missing data.)
- Compute a population-weighted average for life expectancy, mean years of education, or GDP per capita for one of the three Arab worlds.
The TA will randomly assign you one of the 22 countries and one of the three socioeconomic indicators. You should compute the population-weighted average for that indicator for the Arab world to which your assigned country belongs. If you are assigned Iran, compute the population-weighted average for the Arab fuel -endowed countries. If you are assigned Turkey, compute the population-weighted average for the Arab Mediterranean.
To reproduce the value of the HDI for your assigned country, you should show your work exactly as in slide 6 of the Section I slides or page 8 of the textbook. Your HDI value may differ from the one in HDI 2018 in the third decimal place due to rounding error.
To compute population-weighted averages, use the socioeconomic indicator data for the year 2017 in slides 19-27 of the Section I slides. To find the population weights, download population data for the year 2017 from the World Development Indicators. The reasons for using population-weighted averages and an example are in Box 1.5 in the textbook (pages 23-24). Show your complete computation as in the following example:
Suppose there are 3 countries in the country group with populations P1, P2, P3 and they have values of the socioeconomic indicator x1, x2, x3. Let P = P1+P2+P3 and call X the population-weighted average.
Make a table showing P1, P2, P3 and x1, x2, x3, and write out the computation [P1/(P)]x1 + [P2/(P)]x2 + [P3/(P)]x3 = X.
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