Skip to content

Main content

Regression Discontinuity Running Variable Center

Center an explicit running variable and apply a supplied cutoff equality convention without choosing an RD bandwidth or identifying a causal effect.

Loading tool…

Description

Center a running variable and apply a supplied cutoff-equality policy.

Econometric calculations separate supplied residuals, regressors, weights, restrictions, panel groups and reference periods. One score or moment contribution is not a fitted estimator, and one scalar covariance term is not a standard error. Unit rescaling and event-time arithmetic preserve conventions without establishing model identification or causal interpretation.

Center a running variable and apply a supplied cutoff-equality policy.

When to use this tool

Use Regression Discontinuity Running Variable Center when you already have runningVariable, cutoff, includeCutoffInAbove and need to center a running variable and apply a supplied cutoff-equality policy.

How to use the tool and how it works

  1. Enter runningVariable, cutoff, includeCutoffInAbove. 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 centeredRunningVariable, atOrAboveUnderPolicy. Inspect atOrAboveUnderPolicy before interpreting the associated values.

Return runningVariable-cutoff; atOrAbove is variable>cutoff or equality with includeCutoffInAbove=true.1

Input fieldMeaning and unitsAccepted input
runningVariableRunning VariableRequired. Finite number.
cutoffCutoffRequired. Finite number.
includeCutoffInAboveInclude Cutoff In AboveRequired. Boolean.
Output fieldInterpretationReturned shape
centeredRunningVariableCentered Running VariableRequired. Finite number.
atOrAboveUnderPolicyAt Or Above Under PolicyRequired. Boolean.
json
{
  "input": {
    "runningVariable": 55,
    "cutoff": 50,
    "includeCutoffInAbove": true
  },
  "output": {
    "centeredRunningVariable": 5,
    "atOrAboveUnderPolicy": true
  }
}

Limitations and assumptions

  • No assignment rule, discontinuity, causal effect, bandwidth or valid regression-discontinuity design is inferred.
  • 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

Fit and evaluate the full specified model with appropriate data, grouping and uncertainty treatment for inference. Aggregate the required score/moment terms and use the complete covariance calculation; a local residual, cutoff flag or supplied coefficient transformation does not validate the estimator.

References

  1. Calculation and input contract: econometrics/regression-discontinuity-running-variable-center — tool.io

Similar or alternative tools