Ceorana
06-02-2006, 14:17
As a couple people have seen on NSwiki, Ceorana has developed a method for a human development index based off of the stats of a nation. I originally wrote an article on NSwiki (http://ns.goobergunch.net/wiki/index.php/Ceorana_Department_of_State_Human_Development_Index), and the formula was discussed on the talk page. However, the talk page got too unwieldy and unnecessary, so I'd like to move discussion here, as well as open it up to those who are not NSwiki regulars. So, here's the formula:
The CHDI is calculated in three parts, the first two helping to determine the third. Since NationStates forbids nations to tell other nations statistics such as GDP, literacy rate and life expectancy, the CHDI makes educated guesses using numbers that are given. The final CHDI is the three indices averaged. It should be noted that the GDP, education, and healthcare stats can be obtained from any calculator, or from your imagination.
The first part is the GDP index:
(log(GDP per capita)-log(300))/(log(50000)-log(300))
The second part is the Education index:
The Education index is the literacy rate
The literacy rate is calculated as follows:
If the nation's education spending per student, taken to be 20% of the population, is greater than $10,000, the literacy rate is 99%.
If it is less than $10,000, the literacy rate is taken to be the education spending per student divided by 100.
If the literacy rate is lower than the GDP index, the literacy rate is the weighted average of two times the literacy index and one time the GDP index, to account for private schools.
The last part is the Life Expectancy index:
(life expectancy - 25) / (85 - 25)
Life expectancy is calculated as:
80 * (average of GDP and Education indices) + Healthcare spending per capita / 100
Life expectancy cannot go above 90 years.
If the life expectancy index is lower than the GDP index, the life expectancy index is the weighted average of two times the life expectancy index and one time the GDP index, to account for private healthcare.
Pantocratoria is thinking of making a calculator for this, so comments are welcome to perfect these formulae. Thanks.
EXAMPLE:
Ceorana's GDP/Capita is $7,571.15.
Ceorana's education spending is $2,310,469,897,230.49
Ceorana's population is 966,000,000
Ceorana's healthcare spending is $732,588,016,195.04
(log(7,571.15) - log(300)) / (log(50,000) - log(300)) = .631, the GDP index
2,310,469,897,230.49 / (0.2*966,000,000) = 11,958.95, which is education spending per student. Since 11,958.95 > 10,000, the literacy rate is 99%. This is not lower than the GDP index, so it is not averaged. Therefore, the education index is .990.
The average of .631 and .990 is .811, the preliminary HDI.
732,588,016,195.04 / 966,000,000 = 758.37, which is healthcare spending per capita.
The Life Expectancy is 80 * .811 + (758.37 / 100) = about 72 years.
This gives a LE index of (72 - 25) / (85 - 25) = .790
Averaging the three indices together gives .804, Ceorana's CHDI.
The CHDI is calculated in three parts, the first two helping to determine the third. Since NationStates forbids nations to tell other nations statistics such as GDP, literacy rate and life expectancy, the CHDI makes educated guesses using numbers that are given. The final CHDI is the three indices averaged. It should be noted that the GDP, education, and healthcare stats can be obtained from any calculator, or from your imagination.
The first part is the GDP index:
(log(GDP per capita)-log(300))/(log(50000)-log(300))
The second part is the Education index:
The Education index is the literacy rate
The literacy rate is calculated as follows:
If the nation's education spending per student, taken to be 20% of the population, is greater than $10,000, the literacy rate is 99%.
If it is less than $10,000, the literacy rate is taken to be the education spending per student divided by 100.
If the literacy rate is lower than the GDP index, the literacy rate is the weighted average of two times the literacy index and one time the GDP index, to account for private schools.
The last part is the Life Expectancy index:
(life expectancy - 25) / (85 - 25)
Life expectancy is calculated as:
80 * (average of GDP and Education indices) + Healthcare spending per capita / 100
Life expectancy cannot go above 90 years.
If the life expectancy index is lower than the GDP index, the life expectancy index is the weighted average of two times the life expectancy index and one time the GDP index, to account for private healthcare.
Pantocratoria is thinking of making a calculator for this, so comments are welcome to perfect these formulae. Thanks.
EXAMPLE:
Ceorana's GDP/Capita is $7,571.15.
Ceorana's education spending is $2,310,469,897,230.49
Ceorana's population is 966,000,000
Ceorana's healthcare spending is $732,588,016,195.04
(log(7,571.15) - log(300)) / (log(50,000) - log(300)) = .631, the GDP index
2,310,469,897,230.49 / (0.2*966,000,000) = 11,958.95, which is education spending per student. Since 11,958.95 > 10,000, the literacy rate is 99%. This is not lower than the GDP index, so it is not averaged. Therefore, the education index is .990.
The average of .631 and .990 is .811, the preliminary HDI.
732,588,016,195.04 / 966,000,000 = 758.37, which is healthcare spending per capita.
The Life Expectancy is 80 * .811 + (758.37 / 100) = about 72 years.
This gives a LE index of (72 - 25) / (85 - 25) = .790
Averaging the three indices together gives .804, Ceorana's CHDI.