Measurements for Regulation: Using uncertainty informationaoaceurope.com/2005/elli.pdf ·...
Transcript of Measurements for Regulation: Using uncertainty informationaoaceurope.com/2005/elli.pdf ·...
AOAC/Eurachem food safety :: 1
Measurements for Regulation:Measurements for Regulation:Using uncertainty informationUsing uncertainty information
S Ellison
The preparation of this paper was supported under contract with the Department of Trade and Industry as part of the National Measurement System Valid Analytical Measurement (VAM) Programme
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Introduction
• What is Measurement uncertainty?• International Activity in analytical measurement
uncertainty harmonisation• Problems• Options
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What is Measurement Uncertainty?
“A parameter, associated with the result of a measurement, that characterises the dispersion of the values that could
reasonably be attributed to the measurand”(ISO Guide)
The number after the The number after the ±±
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Measurement uncertainty ...
• DOES NOT...just include observed precision
• DOES... include ALL POSSIBLE effects... including uncertainties in reference values, environment, method
controls....... try to say something about where the true value might lie
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Problems
• “Correct” evaluation• Impact on compliance assessments• Correct interpretation• Communication• Management
– of uncertainty– of decisions with uncertainty
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International activity
• Standardisation bodies• Laboratory organisations• Accreditation bodies
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ISO activity
• ISO TAG 4– Guide to the Expression of Uncertainty in Measurement (“GUM”)– Reformed with advisory remit
• ISO TC/69– ISO 5725 (Collaborative study)– WG7: ISO TS 21748 - uncertainty using collaborative study data– Additional activity on type A methods (TS 21749 - nested
designs)
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Laboratory organisations
• Eurachem (Analytical measurement)– Technical guidance on evaluation: QUAM:2000– First published international guide using validation data– Currently working on interpretation guidance
• Eurolab (non-sectoral)– Issued general guidance on evaluation– included a PT-based example– minimal interpretation guidance*– New working group formed 2004
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Accreditation bodies
• Principal responsibility is general assurance of laboratory competence via ISO/IEC 17025:1999
• Most individual accreditation bodies had their own MU guidance by 1999
• Increasingly adopt expert guidance rather than developing their own
• Harmonise technical practices via regional (EA, APLAC) and global (ILAC) guidelines
• Support regulation (mostly!)
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EA activity (European Accreditation)
• Expert working group on uncertainty (2001)• Tasked with advising on appropriate methods of
assessment• GUM Compliant• Included ‘validation’ and collaborative study data
– With reference to ISO TS 21748– Included proficiency Test data as basis in very limited
circumstances
• Did NOT include guidance on interpretation
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Uncertainty evaluation methods
• Repeatability assessment– Always insufficient...
• ISO Guide approach (“the GUM”)– Accreditation
• Validation-based approaches• Interlaboratory study
– Traditional in regulatory analysis
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ISO Guide approach
• Specify the measurand– including complete equation
• Quantify significant uncertainties in all parameters– A: from statistics of repeated experiment– B: by any other means (theory, certificates, judgement...)
• Express as standard deviation• Combine according to stated principles• Multiply by “coverage factor”
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Combining uncertainties (ISO)
u12 u2
2+
u2
u1
• Standard deviations• Established error propagation
theory
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ISO Guide - Limitations
• Basic concepts apply fairly generally• Detailed procedure is less general:
– Requires a complete and validated equation with major uncertainties ‘well understood’
– Assumes that uncertainties are small with respect to the measurement
– Applies poorly to asymmetric situations
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MU based on validation
• The best available estimate of precision– An effect varied representatively during a precision experiment
requires no further study
• The best available estimate of bias and its uncertainty• Other significant effects evaluated
– By experiment, or from standing data
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Reproducibility
Collaborative Study basis
MatrixEffects
MatrixEffects
MU
Between-lab(sL)
OtherEffects
Within-Lab(Sw)
Requires correct study and sound QC/QA
Implementation:
EURACHEM/CITAC
ISO TS21748:2004
Implementation:Implementation:
EURACHEM/CITACEURACHEM/CITAC
ISO TS21748:2004ISO TS21748:2004
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Comparing u with sR
0
0.2
0.4
0.6
0.8
1E-091E-071E-051E-031E-01
Concentration (w/w)
RSD
Standard uncertainty RSD(Horwitz) Coll. Trial RSD
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“Best” Method depends on the problem
““Well characterised” Well characterised” quantified effects,
differentiable, continuous, traceable
Poorly characterised;Poorly characterised;Unpredictable effects;
Input parameters unclear
Measurement model applies
POORLYPOORLY
Whole method study applies
WELLWELL
WELLWELLPOORLYPOORLY
Use both for mutual confidence
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International activity - trends in uncertainty evaluation
• Most international bodies recognise interlaboratory study as a valid basis for MU in analytical work– Eurachem guide– ISO TS 21748
• Some are considering guidance on using PT data for uncertainty estimation– Eurolab working group
• Few include definitive rules for interpretation
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Interpretation
When is the limit exceeded?
(a) (b) (c) (d) (e) (f) (g)
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What does Uncertainty mean?
A RANGE containing the TRUE VALUE?
“The amount is between 17.9 and 27.5”
22.7
4.8 4.822.7 ± 4.8 g
best estimateAt a stated level
of confidenceAt a stated level
of confidence.. Assuming we have the model right
.. Assuming we have the model right.. and that there’s no
uncertainty in the
uncertainty.. and that there’s no
uncertainty in the
uncertainty.. and that we’ve estimated it properly
.. and that we’ve estimated it properly.. and that no-one
made a mistake in
the analysis.. and that no-one
made a mistake in
the analysis.. and that the chemistry is OK.. and that the chemistry is OK
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Interpretation: example
• Declared Meat Content: 67%
Dec
lare
d
Foun
d• Public Analyst result: 64%
• Referee result: 65±3%
• Trading Standards officer correspondence:
This vague answer has prevented a successful prosecution… has anyone else experienced these ambiguous results ...?
This vague answer has prevented a successful prosecution… has anyone else experienced these ambiguous results ...?
Prosecut
e
Foun
d
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What does Uncertainty mean?
• That the result is uncertain so we can ignore it• That the analyst doesn’t know the answer• That more crooks will get away with it• That we need to change the way we interpret results• That we need to change the law• ….
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Managing uncertainty in regulation
• Know and control the uncertainty• Establish rules for interpretation
– Whether to use uncertainty– How to evaluate– Positive compliance versus positive non-compliance
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False responserates
Controlling uncertainty
Basic performance
studiesInterlaboratorycomparisonsPrecision
and biasQuality
control/SPC
Proficiencytesting Numerical
simulationsCause and effect
studiesFormal
Ruggednesstesting
Uncertaintybudgets
Monte Carlomethods
Proficiencytesting
PT data not yet used for MU estimation
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ISO GUM* Statisticalinference on H0
Proportionality
Uncertainty proportional to observation
0
Uncertainty proportional to value
Uncertainty must be very well understood
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In doubt
Typical Current guidance
(a) (b) (c) (d) (e) (f) (g)
Positivenon-compliance
Positivecompliance
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Features of current guidance
• Divides the region into sharp ‘comply/non-comply/in doubt’ regions
• Does not specify level of confidence• Generally assumes uncertainty is small and constant• Requires additional information (e.g. contract review) to
handle the ‘grey area’– Typically client-led– Allows for regulatory statements
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Regulators’ behaviour*
• Set regulations to achieve aims– allow experts, courts and industry to establish methods of
policing and compliance detection
• Do not assume measurement is the only enforcement method
• Set limits such that ‘borderline cases’ are not very important
• Act further if disagreement undermines regulation
*Inferred from observation
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“Reasonable assurance”
Unregulated
Health risk
With regulation
Limit
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“Reasonable assurance” and uncertainty
Unregulated
Health risk
With regulation
Limit
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Managing uncertainty in regulationOptions for interpretation
• Ignore uncertainty• Incorporate
uncertainty in limit
Regulators and tech expertsmust establish acceptableuncertainty and demonstrate it
• Requireuncertaintyreporting
Labs estimate uncertainty;regulators/experts decide howand set interpretation rules
•Require expertinterpretation
Labs must become experts;usually includes knowledge ofMU
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Responsibilities
Decide what needsto be regulated
Writeconsistent
lawsHarmonise
requirementsacross borders
Setinterpretation
rules
Establishmanagement
methods
Decideacceptable
risksCommunicate
uncertainty
Interpretcorrectly
Evaluateuncertainty
correctly
Measurecorrectly
Setenforcement
methods
Harmoniseenforcement
across borders
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Conclusions
• Measurement uncertainty guides interpretation
• Interlaboratory study tends towards higher uncertainties
• Some technical issues still unclear– Using PT data; effect of proportionality
• Setting interpretation rules simplifies matters for enforcers
– .. and should be a co-operative activity