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. 2015 Aug;36(3):87–95.

Definitions

Capability of Assay1 Assays are classified as capable based on the sigma metric:
Sigma Capability
Less than 3 Incapable
Greater than or equal to3 Capable
Greater than or equal to 6 Highly capable

Six Sigma2 The number of standard deviations (SD) spanning the product specifications on the defect rate and defects per million
SD range Defect Rate (%) Defects/Million
± 2 SD 4.5 45,400
± 3 SD < 0.27 <2,700
± 4 SD 0.0063 63
± 5 SD 0.0057 0.57
± 6 SD 0.000002 0.002

Sigma Metric or Assay Capability (Cps)1,2
SigmaMetric=%TEA-%Bias%CV

Where
  • %TEA = Total Error Allowable %
    • ○ Source = Biological Variation Goals (Optimal, Desirable, Minimal) RCPAQAP Allowable Limits of Performance3
  • %Bias = Method Bias vs. True Value (Target Value)

  • %CV = Method imprecision


Systematic Error (4)
  • Due to identified causes and can, in principle, be eliminated. Errors of this type result in measured values that are consistently too high or consistently too low.

  • Types
    • – Instrumental
    • – Observational e.g. parallax in reading a meter scale
    • – Environmental
    • – Theoretical - due to simplification of the model system or approximations in the equations describing it.
    graphic file with name cbr-36-87-g001.jpg

Random Error4
  • Random errors are positive and negative fluctuations that cause about one-half of the measurements to be too high and one-half to be too low.
    • – Sources of random errors cannot always be identified.
  • Types of random error
    • – Observational e.g. errors in judgment of an observer when reading the scale of a measuring device to the smallest division.
    • – Environmental e.g. unpredictable fluctuations in line voltage, temperature, or mechanical vibrations of equipment.
    graphic file with name cbr-36-87-g002.jpg

Structure of QC Rules QC rules of the form µi ± k*SDi
Where µi is the target mean, k is a variable and SD is the target SD.
  • Are centered on the instrument’s mean concentrations

  • Limits are based on multiples of the instrument’s SD

  • Multiple instruments measuring the same analyte have different rejection limits


QC rules of the form µu ± f*TEA
Where f is some proportion (%) and TEA is the total error allowable or allowable limit of performance.
  • Are centered on the unbiased QC concentrations

  • Limits are based on a fraction of the total allowable error

  • Multiple instruments measuring the same analyte have the same rejection limits


Westgard Rules5 QC rules often used for evaluation of QC data.