Linguistic Fractionalization Index Calculator
Observed linguistic fractionalization1−Σp²on independently observed mutually exclusive aggregate categories; share partition sums1, no personal category/identity inference, cause or universal societal risk.
Description
Linguistic fractionalization describes an aggregate partition of language categories.
Linguistic fractionalization describes an aggregate partition of language categories.1
Categories must be mutually exclusive and collectively account for the supplied population shares. The calculation and input requirements are explained below.
When to use Linguistic Fractionalization Index Calculator
Enter a nonempty complete list of mutually exclusive category shares, each from 0 to 1, whose sum differs from 1 by at most 1e-9.
How to use Linguistic Fractionalization Index Calculator and how it works
- Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
- Enter the required fields and run Linguistic Fractionalization Index Calculator.
- Read the result fields using the formula, output units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualQualifiedCategoryShares | Actual Qualified Category Shares. Use the units and matching context stated in the calculation below. | array of number | Required; other constraints below |
Enter a nonempty complete list of mutually exclusive category shares, each from 0 to 1, whose sum differs from 1 by at most 1e-9. Return one minus the sum of squared shares. The result is a fraction, not percent, and category assignment remains external.
fractionalization=1-sum(shares^2) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Numeric result under the formula and output units explained above. | number |
{
"input": {
"actualQualifiedCategoryShares": [
0.5,
0.5
]
},
"output": {
"result": {
"value": 0.5
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Religious Fractionalization Index Calculator for a complementary operation: Religious fractionalization uses shares of mutually exclusive aggregate categories.
Use Ethnic Fractionalization Index Calculator for a complementary operation: Ethnic fractionalization summarizes independently observed aggregate category shares.
References
Similar or alternative tools
- Religious Fractionalization Index Calculator
Religious fractionalization uses shares of mutually exclusive aggregate categories.
- Ethnic Fractionalization Index Calculator
Ethnic fractionalization summarizes independently observed aggregate category shares.