Multidimensional Poverty Index Calculator
Alkire-Foster style MPIfrom actual independently classified poor status, verified weighted deprivation fractions and compatible survey weights. Caller supplies applicable cutoff/domains; no invented deprivation facts or poverty classification.
Description
A multidimensional-poverty comparison combines a classified poor population with its deprivation intensity.
A multidimensional-poverty comparison combines a classified poor population with its deprivation intensity.1
The classifications, deprivation definitions and survey weights must be independently established.
When to use Multidimensional Poverty Index Calculator
Use this tool to obtain observedHeadcountFraction, observedIntensityAmongPoor, conditionalMpi 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 Multidimensional Poverty Index Calculator and understand its results
- Establish the population, period, variable definitions, sample coverage and independently applicable instrument or calibration.
- Enter independentlyClassifiedPovertyFlags, verifiedDeprivationFractions, matchedSurveyWeights, using the field meanings and rules below, then run the tool.
- Read result.observedHeadcountFraction, result.observedIntensityAmongPoor, result.conditionalMpi. 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 |
|---|---|---|---|
| independentlyClassifiedPovertyFlags | Independently classified poverty flags | list of number | Required |
| verifiedDeprivationFractions | Verified deprivation fractions | list of number | Required |
| matchedSurveyWeights | Matched survey weights | list of number | Required |
Supply nonempty aligned binary independently classified poor flags, deprivation fractions in [0,1] and nonnegative survey weights. Both total weight and weight of the classified poor must be positive. Return weighted headcount, weighted deprivation intensity among the poor and their product. Zero poor weight fails; the tool does not classify poverty or select a cutoff.
H=poorWeight/totalWeight; A=Σ(weight_i×poor_i×deprivation_i)/poorWeight; MPI=H×A 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.observedHeadcountFraction | Survey weight of the independently classified poor divided by all survey weight. | number |
| result.observedIntensityAmongPoor | Weighted deprivation fraction averaged within the independently classified poor group. | number |
| result.conditionalMpi | Weighted headcount fraction times deprivation intensity among the classified poor. | number |
{
"input": {
"independentlyClassifiedPovertyFlags": [
1,
0,
1
],
"verifiedDeprivationFractions": [
0.5,
0.2,
0.75
],
"matchedSurveyWeights": [
1,
1,
2
]
},
"output": {
"result": {
"observedHeadcountFraction": 0.75,
"observedIntensityAmongPoor": 0.6666666666666666,
"conditionalMpi": 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. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries, subject to the narrower lengths and code rules above. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Poverty Headcount Ratio Calculator: A poverty headcount rate counts assessed people below an applicable poverty line. For a complementary comparison, use Poverty Gap Index Calculator: The poverty-gap index averages normalized shortfalls below a poverty line across the entire sample.
References
Similar or alternative tools
- Poverty Headcount Ratio Calculator
A poverty headcount rate counts assessed people below an applicable poverty line.
- Poverty Gap Index Calculator
The poverty-gap index averages normalized shortfalls below a poverty line across the entire sample.