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    BASIC QUALITY CONTROL

    STATISTICS

    Geromil J. Lara, RMT, MSMT

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    MEAN

    The mean (or average) is the laboratorysbest estimate of the analytes true value for

    a specific level of control.x=xi/n

    Where:

    xi= each data point

    n= the number of data points in the set

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    Glucose QC Values

    using Level 1 as control material:

    Day 1 4.5

    Day 2 4.7

    Day 3 4.6Day 4 4.4

    Day 5 4.6

    _______

    22.8 / 5 runs = 4.56 Mean

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    Standard Deviation

    Standard deviation quantifies how closenumerical values are in relation to eachother.

    Low standard deviation indicates that all ofthe data points are very close to the samevalue (the mean),

    High standard deviation indicates that thedata are spread out over a large range ofvalues.

    Also used to set up limits

    SD = (Xn-Mean)2n-1

    http://en.wikipedia.org/wiki/Meanhttp://en.wikipedia.org/wiki/Mean
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    STANDARD DEVIATION

    FORMULA: (MEAN) +/- (SD) (1) FOR 1SD

    LOWER LIMIT 4.56 - (0.1)(1) = 4.56 - .1 = 4.46

    HIGHER LIMIT 4.56 + (0.1)(1) = 4.56 +.1 = 4.66

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    Formula :(Mean) +/- (SD) (2) for 2SD

    Lower Limit 4.56 - (0.1) (2) =4.56 - .2 = 4.36

    Higher Limit 4.56 + (0.1) (2) = 4.56 +.2 = 4.76

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    Formula :(Mean) +/- (SD) (3) for 3SD

    Lower Limit 4.56 - (0.1) (3) = 4.56 - .3= 4.26

    Higher Limit 4.56 + (0.1) (3) = 4.56 +.3 = 4.86

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    LEVEY JENNINGS CHART

    4.56

    4.76

    4.66

    4.86

    4.46

    4.36

    4.261 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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    Coefficient of Variation

    The Coefficient of Variation (CV) is ameasure ofvariability.

    A method or instruments CV isexpressed as a percent and iscalculated as:

    CV (%)= (Standard Deviation / Mean) (100)

    Example: 0.1/ 4.56 (100) = 2.19%

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    Importance of CV

    Coefficient of Variation is useful forcomparison of precision for twodifferent methods or instrument.

    It can also be used as a part of theInternal Quality Control systemwhen performing patients precisiontesting.

    The lower the CV, the better

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    SDI ( Standard Deviation

    Index)

    A statistic that measures your labsbias relative to your consensusgroup. An estimate of reliability.

    Example : __100 -98__= 1

    2

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    0 - Ideal score; Identical to your peergroup

    (+/-)1 to 1.5

    acceptable to marginal performance;may need to investigate test system bias

    (+/-)1.5 t0 2.0marginal performance;

    may need to perform corrective action.

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    CVR ( Coefficient of Variation

    Ratio)

    A statistic that compares your labsprecision to that of other labs in a

    consensus group.

    Ex. 10 = 2

    5

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    Less than 1

    Acceptable performanceIndicates that precision is better than peergroup

    1 to 1.5Acceptable to marginal performanceMay need to investigates test system

    imprecision

    1.5 to 2.0Marginal performance

    May need to perform corrective action

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    Using Levey-Jennings Chart to

    Evaluate Run Quality

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    Shift

    is defined asabruptchanges inthe control mean.

    Shifts in QC data represent asudden and dramatic positive ornegative change in test system

    performance

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    Example of Shift

    Mean

    2SD

    1SD

    3 SD

    -1SD

    -2SD

    -3SD1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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    Shifts maybe caused by:

    Sudden failure or change in the lightsource

    Change in reagent formulation

    Change of reagent lot

    Major instrument maintenance

    Sudden change in incubation temperature(enzymes only)

    Change in room temp. or humidity Failure in sampling system & reagent

    dispense system

    Inaccurate calibration/recalibration

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    Trend

    indicates a gradual loss ofreliability in the test

    system.

    Trends are usually subtle.

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    Example of Trend

    Mean

    2SD

    1SD

    3 SD

    -1SD

    -2SD

    -3SD1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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    Trend may be caused by:

    Deterioration of the instrument light source

    Gradual accumulation of debris insample/reagent tubing

    Gradual accumulation of debris onelectrode surfaces

    Aging of reagents

    Gradual deterioration of control materials

    Gradual deterioration of incubator chambertemp.

    Gradual deterioration of light filter integrity

    Gradual deterioration of calibration

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    Trends and Shifts areindicative of a problem

    and these should beinvestigated and

    corrected!

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    WESTGARD RULES

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    ERROR DETECTION

    Systematic Errora trend or shift away from the laboratorymean

    Random Errorany random deviation away from thelaboratory mean

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    This is a warning rule that is violated when asingle control observation is outside the 2slimits.This rule merely warns that random error orsystematic error may be present in the testsystem.

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    Violation indicates

    systematic error

    Two consecutive controls

    exceed the mean by +/- 2SD

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    This indicatessystematic error 4 consecutive controls on one side of the

    mean exceeds +/-1SD

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    This indicates systematic error 10 consecutive controls on one side of

    the mean

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    Sources of

    Systematic Error Improper alignment of sample

    or reagent pipettes resulting tochange in reagent and calibratorvolume.

    Drift or shift in incubatorchamber temperature,deterioration of photometric

    light source

    Change of Calibration /reagentlot

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    Sources of

    Systematic Error Deterioration of

    reagent/calibrator/controlproduct while in use, storageor shipment

    Incorrect handling of controlproduct

    Inadequate storage of reagentor calibrators/control products

    Change in test operator

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    This rule identifies random error

    Any QC result outside 3s violates this rule.

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    If there is at least a 4s difference betweencontrol values within a single run, the rule isviolate forrandom error.

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    Sources of

    Random Error Power Supply

    Double pipetting of control

    sample

    Misplacement of Control samplewithin the run

    Random air bubbles in reagent orsample pipette system

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    Sources of

    Random Error Incorrect reconstitution of the

    control product

    Inappropriate Storage ofcontrol

    Inadequately mixed reagents Individual operator variation in

    pipetting , timing , etc.

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    BIAS/SDI RESULTS

    ACCURACY /RELIABILITY ARE AFFECTED

    Mean

    2SD

    1SD

    3 SD

    -1SD

    -2SD

    -3SD 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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    PRECISION/REPEATABILITY/CV/

    CVI ARE AFFECTED

    Mean

    2SD

    1SD

    3 SD

    -1SD

    -2SD

    -3SD

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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    IDEAL CONTROL RUNNING

    Mean

    2SD

    1SD

    3 SD

    -1SD

    -2SD

    -3SD

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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    QC- THE OUT OF CONTROL PROBLEM

    Bad Habit #1 Repeat the controls

    Bad Habit # 2 Try a new control

    Good Habit #1 Inspect the control chart orRules violated to determine the type of error

    Good Habit #2 Relate the type of error topotentialCausesGood Habit # 3 Verify the solution and documentthe remedy

    Develop Good Habits- Solve Problems

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    If you think its hard

    it will be