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Utility Interpolation Known Endpoint Contribution Tool

Calculate utility interpolation known endpoint contribution from explicit caller-supplied inputs.

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Description

Return linear endpoint weights summing to one and their weighted utility value.

Health-economic utility models combine time with a supplied valuation scale. The reference anchors, duration units, survival basis, and discount timing determine the interpretation of each utility-year contribution.

Return linear endpoint weights summing to one and their weighted utility value.

When to use this tool

Use Utility Interpolation Known Endpoint Contribution when you need one explicit utility or modeled outcome component.

How to use the tool and how it works

  1. Enter firstTime, secondTime, firstUtility, secondUtility, queryTime. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read firstWeight, secondWeight, interpolatedUtility. Use the output convention below.

Require increasing endpoint times and query within them. Return linear endpoint weights summing to one and their weighted utility value.1

Input fieldMeaning and unitsAccepted input
firstTimeFirst TimeRequired. Finite number.
secondTimeSecond TimeRequired. Finite number.
firstUtilitySupplied dimensionless utility at firstTime on the same valuation basis as secondUtility.Required. Finite number.
secondUtilitySupplied dimensionless utility at secondTime.Required. Finite number.
queryTimeQuery TimeRequired. Finite number.
Output fieldInterpretationReturned shape
firstWeightFirst WeightRequired. Finite number.
secondWeightSecond WeightRequired. Finite number.
interpolatedUtilityInterpolated UtilityRequired. Finite number.
json
{
  "input": {
    "firstTime": 0,
    "secondTime": 10,
    "firstUtility": 0.4,
    "secondUtility": 0.8,
    "queryTime": 5
  },
  "output": {
    "firstWeight": 0.5,
    "secondWeight": 0.5,
    "interpolatedUtility": 0.6
  }
}

Limitations and assumptions

  • Times share units and utilities share one valuation convention; utility need not be in [0, 1], and interpolation does not establish patient health, preference validity, or causal treatment effect.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Check the complete evaluation model and source valuations; arithmetic utility values are not individual clinical assessments or judgments of personal worth.

References

  1. Calculation and input contract: health-economics/utility-interpolation-known-endpoint-contribution — tool.io

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