Description
Calculate qc linearity one calibrator residual from explicit caller-supplied inputs.
Quality records separate measured results, reference values, acceptance rules, and supporting evidence. Arithmetic consistency and record coverage can be checked against supplied criteria without establishing traceability, approving a method, or deciding product conformity.
Calculate qc linearity one calibrator residual from explicit caller-supplied inputs.
When to use this tool
Use it for qc linearity one calibrator residual when the required inputs and conventions are already available.
How to use the tool and how it works
- Enter concentration, signal, intercept, slope, suppliedTolerance. Use the stated units and boundary conventions.
- Run the calculation. Correct any input error before interpreting a result.
- Read expected, residual, relativeResidual, within. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.
Calculate expected=intercept+slope*concentration and require it to be nonzero, with nonnegative suppliedTolerance. Return residual=signal-expected, signed relativeResidual=residual/expected, and within when abs(residual)<=suppliedTolerance.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| concentration | Concentration | Required. Finite number. |
| signal | Signal | Required. Finite number. |
| intercept | Intercept | Required. Finite number. |
| slope | Slope | Required. Finite number. |
| suppliedTolerance | Supplied Tolerance | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| expected | Expected | Required. Finite number. |
| residual | Residual | Required. Finite number. |
| relativeResidual | Relative Residual | Required. Finite number. |
| within | Within | Required. Boolean. |
{
"input": {
"concentration": 2,
"signal": 12,
"intercept": 1,
"slope": 5,
"suppliedTolerance": 2
},
"output": {
"expected": 11,
"residual": 1,
"relativeResidual": 0.09090909090909091,
"within": true
}
}Limitations and assumptions
- Tolerance is absolute signal tolerance, not relative residual tolerance. One calibrator point does not establish linearity, estimate coefficients, or validate the full measurement range.
- The field tables describe structural bounds; the mechanics also state cross-field requirements. Malformed input shapes, disallowed keys, and invalid domains cause input errors. Results must remain finite and within the declared output contract. A successful false flag or zero placeholder is distinct from an error.
- Numeric arithmetic uses binary floating point. Exact comparisons have no hidden tolerance or decimal rounding; negative zero is exported as zero. Decimal-text integer operations retain the exactness specifically stated above.
Alternative or Complementary methods
For qc linearity one calibrator residual, check the source records and the supplied rule before comparing the result with another method. Use a separate evidence or method review when arithmetic consistency alone cannot establish the required conclusion.
References
Similar or alternative tools
- Assay System Blank Residual
Compare supplied bench assay blank/gain corrections without determining assay acceptance or clinical significance.
- QC Analyst Replicate Weight Term
Inverse-variance replicate combination under supplied independent standard uncertainties.