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Framing Nominal Equivalence Residual

Compare two explicit framed quantities after applying a supplied positive conversion to a common basis.

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Description

Calculate a supplied cross-unit framing-equivalence residual.

Behavioral economic tasks use explicit payoff units, reference values, time periods and supplied utility or discount conventions. A decision weight need not be a probability, one branch term is not a full expectation, and a nominal cost difference does not establish perceived switching difficulty or an actual preference.

Calculate a supplied cross-unit framing-equivalence residual.

When to use this tool

Use Framing Nominal Equivalence Residual when you already have firstFrameAmount, secondFrameAmount, suppliedSecondToFirstFactor and need to calculate a supplied cross-unit framing-equivalence residual.

How to use the tool and how it works

  1. Enter firstFrameAmount, secondFrameAmount, suppliedSecondToFirstFactor. 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 residualInFirstUnits. Use the output convention below.

Require suppliedSecondToFirstFactor>0; return secondFrameAmount*factor-firstFrameAmount.1

Input fieldMeaning and unitsAccepted input
firstFrameAmountFirst Frame AmountRequired. Finite number.
secondFrameAmountSecond Frame AmountRequired. Finite number.
suppliedSecondToFirstFactorFirst-frame units per one second-frame unit; multiplies secondFrameAmount.Required. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
residualInFirstUnitsResidual In First UnitsRequired. Finite number.
json
{
  "input": {
    "firstFrameAmount": 100,
    "secondFrameAmount": 50,
    "suppliedSecondToFirstFactor": 2
  },
  "output": {
    "residualInFirstUnits": 0
  }
}

Limitations and assumptions

  • Factor means first units per second unit. A zero residual establishes the supplied arithmetic relation only, not equal perception, utility or framing effects.
  • 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

Review the full task design, incentive and payoff definitions, participant records and statistical analysis. Estimate behavioral models from appropriate data when local supplied-value arithmetic cannot establish preferences or causal effects.

References

  1. Calculation and input contract: behavioral-economics/framing-nominal-equivalence-residual — tool.io

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