Saleh Nasiri (Ph.D.) IBTO-Research Center

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Quality and safety improvement of blood component products in blood transfusion by using statistical methods and control charts in screening test results Saleh Nasiri (Ph.D.) IBTO-Research Center

What basic statistics must we know to monitor QC results Mean Standard deviation (SD) (precision) Bias Random error Systematic error Total error Gaussian distribution

The QC Process 1. QC Sample 2. Determine Control Limits 3. Include in all test runs 4. Data Collection 5. Data Analysis 6. Monitor variation 7. If variation identified investigate

Accuracy and Precision A. Accurate and Precise B. Accurate But not Precise C. Not Accurate but Precise D. Neither Accurate nor Precise

What is normal Random Error? Inherent in system Always present Data to fall above or below mean Gaussian distribution Predict likelihood of spread Basis for quality control analysis Increase SD and Coefficient of Variation

Frequency Gaussian Distribution: Standard Deviation and Probability For a set of data with a normal distribution, a value will fall within a range of : x 68.2% ± 1 SD 68.2% of the time ± 2 SD 95.5% of the time ± 3 SD 99.7% of the time 95.5% 99.7% -3s -2s -1s Mean +1s +2s +3s

What causes increased Random Error? When a system experiences inconsistent changes such as: Fluctuations in temperature Fluctuations in volume Inconsistent environmental conditions electrical interferences Inconsistent handling of materials from operator to operator

How to minimize Random Error? Handle reagents, calibrators and controls with extreme care Review reagent preparation instructions Check expiration dates on reagents/calibrators Check reconstitution date of reagents and calibrators Use volumetric pipette to measure control and reagent diluent (change pipette frequently) Make fresh reagent frequently, pour fresh reagent each day, and store unused portions properly

How to minimize Random Error? Bring reagents to room temperature prior to use and return to the refrigerator immediately after use Calibrate tests more frequently Perform cleaning procedures more frequently Clean internal reservoir frequently

How does the SD measure Random Error? Increased random error causes increased variation about the mean and a higher standard deviation. We no longer see 68% of the points within ±1 SD of the mean

How does the SD measure Random Error? SD = 10 SD = 5 Mean If the SD increases from 5 to 10, the spread of the data on the Gaussian curve will increase

Why do we measure Coefficient of Variation? Coefficient of Variation (CV) SD/Mean = CV SD/Mean X 100 = CV% Measure of precision Useful in comparing methods Inter-laboratory comparisons

Why do we measure Coefficient of Variation? Mean 40 80 200 SD 5 8 12 CV% 12.5% 10.0% 6.0% The CV% allows us to compare precision in methods with different means

What is systematic Error? Target Measured Bias Absolute Value Mean of Bias 100 105 5 5 100 95-5 5 100 100 0 0 Bias is the difference between the measured mean value and the target value

What causes increased Systematic Error? Common caused of Systematic Errors include: Changes in reagent lot numbers Changes in calibration Inconsistent environmental conditions Consistent changes in the analytical process Changes to instrumentation

What causes increased Systematic Error? Previous Mean Mean after Systematic shift A systematic changes causes all results to be consistently higher or lower than before

What QC terms are associated with Systematic Error? Quality control terms associated with systematic error include: a changes in accuracy a shift in the mean value consistent changes in the analytical system a change in bias

How does the mean monitor Systematic Error? Systematic errors usually create two populations of data with different mean values. Each has the same SD

Mixed Populations of Data If we mix two different populations of data, the calculated SD will be incorrect for each individual data set.

What is Bias? TEa Target Bias TEa Bias is the variation between the measured value and the target or true value.

What is Total Error? Systematic error associated with change in accuracy Random error is associated with change in precision Total Error combines random and systematic error to show the total variation from the target value

What is Total Error? Total Error (TE) Combines random error (imprecision) SD Systematic error (inaccuracy) Bias TE = IBiasI + 2SD %TE = I%BiasI + 2CV%

What is Total Error? TEa Target Total Error TEa Total Error combines random and systematic error to show the total variation from the target value

What causes increased Total Error? People Reagents Instrumentation Controls Calibration The factors that affect random and systematic error combine to affect Total Error

Levey-Jennings Chart A graphical method for displaying control results and evaluating whether a procedure is in-control or out-of-control Control values are plotted versus time Lines are drawn from point to point to accent any trends, shifts, or random variations

Levey-Jennings Chart

One, two or three level QCs Laboratories may test: A single control A single control in duplicate Two controls at different levels Three controls at different levels If more than one QC sample is tested, or QC sample tested twice, plot ALL results

Calculate Control Limits To establish control limits to assist in monitoring variation: Test sample in 20-30 test runs using ~3 reagent batches While establishing limits use cumulative mean and control limits Following 20-30 runs, fix mean and control limits

Recording and monotoring the data

Appropriate Control Limits are Critical Calculate accurate control limits is critical to an effective QC system Control limits too wide Problems not detected False accept Control limits too narrow Acceptable results flagged False reject QC flags occur when method accuracy and precision changes

QC Flags No Error Present / No QC Flag (True Accept) Error Present / No QC Flag (False Accept) No Error Present / QC Flag (False Reject) Error Present / QC Flag (True Reject) QC Flags No Yes Patient Results Good Bad Each data point on the QC chart may be either a true or false accept or a true or false reject.

Best QC System QC rules that allows for: maximum error detection minimize false rejection treat every QC flag as a significant change, know how to react appropriately to that significant change