Human Development Index Calculator

Conditional geometric HDIaggregate of independently established compatible normalized components. No current country values, goalpost authority or causal welfare inference.

Description

The Human Development Index aggregates normalized health, education and income dimensions geometrically.

The Human Development Index aggregates normalized health, education and income dimensions geometrically.^{[1, 2]}

Precomputed component indices retain their own data and normalization assumptions.

When to use Human Development Index Calculator

Use this tool to obtain conditionalHdi from the supplied records using the stated calculation. Establish the population, period, variable definitions, sample coverage and independently applicable instrument or calibration.

How to use Human Development Index Calculator and understand its results

Establish the population, period, variable definitions, sample coverage and independently applicable instrument or calibration.
Enter callerNormalizedHealthIndex, callerNormalizedEducationIndex, callerNormalizedIncomeIndex, using the field meanings and rules below, then run the tool.
Read result.conditionalHdi. Use the units and sign conventions below, and review any unknown records separately.
Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.

Input field	Meaning	Value type	Requirement
callerNormalizedHealthIndex	Caller normalized health index	number	Required
callerNormalizedEducationIndex	Caller normalized education index	number	Required
callerNormalizedIncomeIndex	Caller normalized income index	number	Required

Require all three independently normalized health, education and income components in [0,1]. Multiply them and take the cube root. A zero component gives zero. No raw-indicator normalization or current country data is supplied.

HDI=cuberoot(healthIndex×educationIndex×incomeIndex)

Use the matching field units and the exact boundary, ordering and reference rules above.

Output field	Meaning	Value type
result	Calculated observation or qualified reference	object
result.conditionalHdi	Geometric mean of the three supplied normalized dimension indices.	number

json

{
  "input": {
    "callerNormalizedHealthIndex": 0.5,
    "callerNormalizedEducationIndex": 0.5,
    "callerNormalizedIncomeIndex": 0.5
  },
  "output": {
    "result": {
      "conditionalHdi": 0.5
    }
  }
}

Limitations and assumptions

Population definitions, survey design, calibration and observation coverage are independently established. A result describes the supplied record or conditional model without demonstrating causation, validating an instrument or supplying representative population evidence.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Income Index Calculator: A normalized income index uses logarithmic position between adopted GNI goalposts. For a complementary comparison, use Health Index Calculator: A normalized health index locates life expectancy between adopted goalposts.

References

Human Development Index Calculator — tool.io
Human Development Index: geometric aggregation — United Nations Development Programme

Similar or alternative tools

Income Index Calculator
A normalized income index uses logarithmic position between adopted GNI goalposts.
Health Index Calculator
A normalized health index locates life expectancy between adopted goalposts.