Homogamy Rate Calculator

Homogamy cohort share using independently defined compatible partner categories; no relationship suitability inference. Actual aligned same-period numerator/denominator strata, pooled by exposure not unweighted mean. Nonnegative counts/exposures and positive total denominator; overlapping strata must be independently resolved. No cohort representativeness, causation or eligibility inferred.

Description

Homogamy rate counts unions within an adopted category.

Homogamy rate counts unions within an adopted category.1

Its category definition and assessed-union population must match the intermarriage comparison if the two are related.

When to use Homogamy Rate Calculator

Use this tool to obtain observedPooledRate, observedNumeratorTotal, observedDenominatorTotal 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 Homogamy Rate Calculator and understand its results

  1. Establish the population, period, variable definitions, sample coverage and independently applicable instrument or calibration.
  2. Enter observedSameCategoryUnionCounts, matchedAssessedUnionCounts, using the field meanings and rules below, then run the tool.
  3. Read result.observedPooledRate, result.observedNumeratorTotal, result.observedDenominatorTotal. Use the units and sign conventions below, and review any unknown records separately.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedSameCategoryUnionCountsObserved same category union countslist of numberRequired
matchedAssessedUnionCountsMatched assessed union countslist of numberRequired

Supply nonempty aligned finite nonnegative numerator and denominator lists for the same strata. Their denominator total must be positive. Pool the totals before dividing and scale by 100. Return both totals alongside the pooled rate. The implementation does not require integer counts or enforce numerator≤denominator; it neither averages stratum rates equally nor converts units. The supplied definitions determine whether the result is a percentage, a per-population rate or another ratio.

pooledRate=100×Σnumerators/Σdenominators; numeratorTotal=Σnumerators; denominatorTotal=Σdenominators

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

Output fieldMeaningValue type
resultCalculated observation or qualified referenceobject
result.observedPooledRateScaled pooled numerator/denominator rate; its units and scaling follow the declared formula.number
result.observedNumeratorTotalSum of the supplied nonnegative numerator records.number
result.observedDenominatorTotalSum of the matched nonnegative denominator records; required to be positive.number
json
{
  "input": {
    "observedSameCategoryUnionCounts": [
      2,
      4
    ],
    "matchedAssessedUnionCounts": [
      10,
      20
    ]
  },
  "output": {
    "result": {
      "observedPooledRate": 20,
      "observedNumeratorTotal": 6,
      "observedDenominatorTotal": 30
    }
  }
}

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 Intermarriage Rate Calculator: Intermarriage rate counts unions crossing a declared category boundary. For a complementary comparison, use Assortative Mating Correlation Calculator: Assortative-mating correlation describes a linear association between matched partner scores.

References

  1. Homogamy Rate Calculator — tool.io

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