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QC Result Guard Band Margin

Subtract an explicit guard band from an upper limit and compare a result without selecting an uncertainty decision rule.

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Description

Calculate a supplied upper guard-band limit and result margin.

Quality-control results depend on measurement basis, calibration reference, rounding, limit inclusion and decision rules. A raw result can lie on a different side of a boundary from its reported value. Guard bands and relative differences must retain their exact definitions; a local comparison does not select a valid specification or establish conformance.

Calculate a supplied upper guard-band limit and result margin.

When to use this tool

Use QC Result Guard Band Margin when you already have result, suppliedUpperLimit, suppliedGuardBand and need to calculate a supplied upper guard-band limit and result margin.

How to use the tool and how it works

  1. Enter result, suppliedUpperLimit, suppliedGuardBand. 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 guardedUpperLimit, margin. Use the output convention below.

Require guardBand>=0; guardedUpper=upperLimit-guardBand and margin=guardedUpper-result.1

Input fieldMeaning and unitsAccepted input
resultResultRequired. Finite number.
suppliedUpperLimitSupplied Upper LimitRequired. Finite number.
suppliedGuardBandNonnegative assumed amount subtracted from the upper limit, in the result unit.Required. Finite number; minimum 0.
Output fieldInterpretationReturned shape
guardedUpperLimitGuarded Upper LimitRequired. Finite number.
marginMarginRequired. Finite number.
json
{
  "input": {
    "result": 95,
    "suppliedUpperLimit": 100,
    "suppliedGuardBand": 3
  },
  "output": {
    "guardedUpperLimit": 97,
    "margin": 2
  }
}

Limitations and assumptions

  • The guard band is assumed; this does not estimate uncertainty, select decision rules or establish conformance.
  • 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

Apply the documented measurement method, calibration records and complete decision rule when judging a result. Keep raw values, reported values, uncertainty and endpoint inclusion visible; a supplied guard band or replicate term does not select that rule.

References

  1. Calculation and input contract: quality-control/qc-result-guard-band-margin — tool.io

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