QC Fundamentals - Laying Groundwork
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Quality Control (QC): Operational techniques ensuring test result reliability; part of QA.
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Quality Assurance (QA): Overall measures for quality at all testing stages (pre-analytical, analytical, post-analytical).
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Total Quality Management (TQM): Organization-wide philosophy for continuous quality improvement.
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Aims of QC: Monitor accuracy & precision; detect errors. Ensures reliable patient results for diagnosis & treatment.
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Errors:
- Random (Imprecision): Unpredictable (e.g., pipetting error). Affects precision. Measured by SD/CV.
- Systematic (Inaccuracy/Bias): Predictable, consistent (e.g., miscalibrated instrument). Affects accuracy.
- Total Allowable Error (TEa): Maximum acceptable error for a test.
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Formula: $TE = Bias + Z \times SD$ (Z often 1.65, 1.96, or 2).

⭐ QC is product-oriented (focuses on test results), while QA is process-oriented (focuses on the entire testing lifecycle).
QC Statistics - Numbers Don't Lie
- Central Tendency:
- Mean ($\bar{x}$): Average value.
- Median: Middle value in sorted data.
- Mode: Most frequent value.
- Dispersion (Spread):
- Standard Deviation (SD): Measures data spread. $SD = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n-1}}$
- Coefficient of Variation (CV%): Relative SD; key imprecision measure. $CV% = (SD/\bar{x}) \times 100$
- Gaussian (Normal) Distribution:
- Coverage: $\pm \textbf{1SD}$ (\textbf{68.3%}), $\pm \textbf{2SD}$ (\textbf{95.5%} - common QC limits), $\pm \textbf{3SD}$ (\textbf{99.7%}). 
- Accuracy vs. Precision:
- Accuracy: Closeness to true value (reflects systematic error).
- Precision: Reproducibility of measurements (reflects random error).
- 📌 Accuracy hits the Aim (bullseye); Precision is Packed together (tight group).
- Sigma Metrics: $(TE_a - |Bias|)/SD$. Goal: \u22656 Sigma (world-class quality; <3.4 DPMO).
⭐ The Coefficient of Variation (CV%) is a standardized measure of imprecision.
Internal QC - Charting Control
- Control Materials:
- Types: Lyophilized (freeze-dried), liquid; Assayed (known values), Unassayed (values by lab); Homemade, Commercial.
- Desirable: Stable, matrix similar to patient samples, analyte levels at medical decision points (low/normal/high).
- Levey-Jennings (LJ) Charts:
- Plot control values vs. time. Mean line; control limits: $\ extpm 1SD, \ extpm 2SD, \ extpm 3SD$.
- Interpretation: Trends (gradual drift), Shifts (abrupt change).

- Westgard Multirules: (Error: R=Random, S=Systematic)
- 1₂s: Warning (1 value > $\ extpm 2SD$).
- 1₃s: REJECT (1 value > $\ extpm 3SD$) - R/S.
- 2₂s: REJECT (2 consecutive values > same $\ extpm 2SD$) - S.
- R₄s: REJECT (1 control >+2SD & another <-2SD) - R.
- 4₁s: REJECT (4 consecutive values > same $\ extpm 1SD$) - S.
- 10x: REJECT (10 consecutive values one side of mean) - S.
- Actions on Rule Violation:
- Stop patient testing. Identify & correct error. Re-run controls, then patient samples.
⭐ The 1₃s rule is a rejection rule indicating significant random or systematic error.
External QC & Broader QA - Ensuring Excellence
- External Quality Assessment Schemes (EQAS) / Proficiency Testing (PT):
- Purpose: Inter-lab comparison to identify systematic errors (bias) and assess accuracy.
- Process: Labs analyze external blind samples; results submitted for peer comparison.
- Interpretation: Performance uses metrics like Standard Deviation Index (SDI), Variance Index Score (VIS).
- Broader Quality Assurance (QA) considers:
- Pre-analytical variables: Sample collection, handling, storage impact QC.
- Post-analytical variables: Result reporting, interpretation impact QC.
- Corrective and Preventive Actions (CAPA): For continuous quality improvement.
⭐ EQAS primarily assesses the accuracy of a laboratory's performance.
High‑Yield Points - ⚡ Biggest Takeaways
- Accuracy (true value closeness) vs. Precision (reproducibility) are key.
- Systematic errors (SE) affect accuracy; Random errors (RE) affect precision.
- Levey-Jennings (LJ) charts visually monitor QC data against mean ± SD.
- Westgard rules (e.g., 1₃₅, 2₂₅, R₄₅) applied to LJ charts detect SE & RE.
- Shifts (≥6 points one side) & Trends (≥6 points ↑/↓) indicate SE.
- Coefficient of Variation (CV%) = (SD/Mean) x 100; measures imprecision.
- IQC (daily) and EQA (inter-lab) ensure result reliability.
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