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PK Residual Normalization Term Tool

Normalize one supplied nonclinical model residual without selecting an error model.

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Description

Normalize one supplied nonclinical model residual without selecting an error model.

Pharmacokinetic research describes concentration over time using measurement units and an explicit model. Concentration-time area, its time-weighted moment, inverse-time rate constants, clearance, and volume are related but distinct quantities. A conversion or local model term does not estimate every parameter or validate a complete study.

Normalize one supplied nonclinical model residual without selecting an error model.

When to use this tool

Use PK Residual Normalization Term when you need this concentration-time conversion, sampling check, local integral panel, or explicitly supplied kinetic-model term.

How to use the tool and how it works

  1. Enter observed, predicted, suppliedScale. 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 residual, normalizedResidual. Use the output convention below.

For positive suppliedScale return residual=observed-predicted and normalizedResidual=residual/suppliedScale.1

Input fieldMeaning and unitsAccepted input
observedObservedRequired. Finite number.
predictedPredictedRequired. Finite number.
suppliedScaleSupplied ScaleRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
residualSigned observed-minus-implied discrepancy under the stated formula.Required. Finite number.
normalizedResidualNormalized ResidualRequired. Finite number.
json
{
  "input": {
    "observed": 12,
    "predicted": 10,
    "suppliedScale": 2
  },
  "output": {
    "residual": 2,
    "normalizedResidual": 1
  }
}

Limitations and assumptions

  • Scale must be compatible with the concentration residual for a dimensionless result. No variance estimate, weighting model, normality check, or pharmacokinetic fit is performed.
  • 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. Signed zero is exported as zero.

Alternative or Complementary methods

Use a complete study analysis when a local panel, transformation, or model factor is insufficient. Check sampling times, censoring, assay support, unit conventions, and the validity of the assumed kinetic regime.

References

  1. Calculation and input contract: pharmacokinetics/pk-residual-normalization-term — tool.io

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