About HDI Calculator (Formula)
A Human Development Index (HDI) Calculator is a tool used to measure and compare the overall development levels of different countries or regions based on key indicators related to human well-being. The Human Development Index is a composite index that takes into account three major dimensions of human development: health, education, and standard of living. The formula for calculating the HDI involves several components:
- Life Expectancy Index (LEI): This component measures the health dimension of HDI and is calculated using the following formula:
LEI = (Life Expectancy at Birth (LEB) – Minimum Life Expectancy (LEB_min)) / (Maximum Life Expectancy (LEB_max) – Minimum Life Expectancy (LEB_min))
- Life Expectancy at Birth (LEB): The average number of years a person is expected to live from birth.
- Minimum Life Expectancy (LEB_min): The lowest life expectancy value among all countries.
- Maximum Life Expectancy (LEB_max): The highest life expectancy value among all countries.
- Education Index (EI): This component measures the education dimension of HDI and is calculated as the geometric mean of two indicators:
a. Expected Years of Schooling (EYS): The number of years of schooling that a child entering the education system at a specific age is expected to receive.
b. Mean Years of Schooling (MYS): The average number of years of education received by adults aged 25 and older.
EI = √(EYS / EYS_max) × (√(MYS / MYS_max))
- EYS_max: The highest expected years of schooling value among all countries.
- MYS_max: The highest mean years of schooling value among all countries.
- Income Index (II): This component measures the standard of living dimension of HDI and is calculated using the following formula:
II = (ln(Gross National Income (GNI)) – ln(GNI_min)) / (ln(GNI_max) – ln(GNI_min))
- Gross National Income (GNI): The per capita income of a country, adjusted for purchasing power parity (PPP).
- GNI_min: The lowest GNI value among all countries.
- GNI_max: The highest GNI value among all countries.
Finally, the HDI is calculated by taking the geometric mean of the three component indices:
HDI = (∛(LEI × EI × II))
The HDI provides a comprehensive measure of human development that goes beyond economic indicators and includes health and education aspects. It allows for comparisons of development levels among countries and regions, helping policymakers and researchers assess progress and target areas for improvement.