APFCB WEBINAR
MEASUREMENT UNCERTAINTY
Friday 24th July 2010
Dr Ken Sikaris
MBBS BSc(Hons) FRCPA FAACB Melbourne Pathology.
MEASUREMENT UNCERTAINTY Friday 24 th July 2010 Dr Ken Sikaris MBBS - - PowerPoint PPT Presentation
APFCB WEBINAR MEASUREMENT UNCERTAINTY Friday 24 th July 2010 Dr Ken Sikaris MBBS BSc(Hons) FRCPA FAACB Melbourne Pathology. Dr Ken Sikaris 24 th July 2010 OUTLINE 1. What is MU? 2. How is MU estimated? 3. How can MU be reported? 4. What is
APFCB WEBINAR
MEASUREMENT UNCERTAINTY
Friday 24th July 2010
Dr Ken Sikaris
MBBS BSc(Hons) FRCPA FAACB Melbourne Pathology.
OUTLINE
2
IntroductionSources
– VIM (Vocabulary) 1989 / ‘04 – GUM (UM Guide) 1995 / ’04
– ISO 17025 (Lab Standards) 1999 – ISO 15189 (Medical Labs) 2008
3
ISO GUM 1995
(Guide to the expression of Uncertainty of Measurement) – CIPM Comm Int des Pods et Mesures ‘77–’81 – BIPM Int Bur Weights and Measures – IEC Int Electrochemical Comm – IFCC International Federation of Clinical Chemistry – ISO Int Org Standardisation – IUPAC Int Union Pure Appl Chemistry – IUPAP Int Union Pure Appl Physics – OIML Int Org Legal Metrology
4
What is MU?
5
6
The term ‘uncertainty’
validity of a result.
measures of the concept.
– GUM 2.2.1
7
VIM (International Vocabulary of Basic and General Terms in Metrology )
– measurement uncertainty – uncertainty of measurement – uncertainty
attributed to a measurand, based on the information used
8
Other terms:
– Result – True value. – This is not known because:
– This is not known
– The result is only an estimate of a true value and only complete when accompanied by a statement of uncertainty.
9
GUM 2.2.4 GUM 3.2.1
Types of Error
– Cannot be eliminated, only reduced. – Unpredictable temporal and spatial variations
– Cannot be eliminated, only reduced. – Can be quantified
factor can be applied to compensate
been corrected for all recognised significant systematic effects
10
GUM 3.2.2 GUM 3.2.3 GUM 3.2.4
LFT’s Female DOB 30/1/1934
11
Date 29/01 28/04 14/05 02/07 Units Range S BILI 38 29 27 34 umol/L (2-20) S ALP 234 192 206 193 U/L (30-120) S GGT 93 83 87 74 U/L (5-45) S ALT 124 137 113 103 U/L (5-40) S AST 187 202 167 166 U/L (5-40)
Some clinicians (and patients) believe that the results from laboratory assays have little of no uncertainty.
Introduction to GUM
some quantitative indication of the quality of the result be given so that those who use it can assess its reliability.
12
GUM 0.1
ISO/IEC DIS 17025
– apply procedures to estimate uncertainty
13
How is MU estimated?
14
ISO 17025 - 1999
apply procedures for estimating uncertainty of measurement.
uncertainty of measurement depends on factors such as:
– the requirements of the test method; – the requirements of the client; – the existence of narrow limits on which decisions on conformance to a specification are based.
15
ISO 15189 – 2003(E)
results, where relevant and possible.
16
17
Eurachem / Citac Guide CG 4
1 3 4 2
Estimating MU
18
Define the Measurand
19
The measurand?
expression of uncertainty in the measurement of a well defined physical quantity – the measurand – that can be characterised by an essentially unique value.
20
GUM 1.2
The Measurand.
– Testosterone
– ALT
– PSA
– Measurand = ‘PSA as measured by Abbott Architect Assay’
– New Definition
21
Identify all Sources of Uncertainty
22
ISO 15189 – 2003(E)
23
24
BI OLOGI CAL VARI ATI ON Pulsatility, Diurnal, Seasonal, Fasting SAMPLI NG Posture, Venous stasis, Drip Arm, Labeling SAMPLE HANDLI NG Anticoagulant, Anticoagulant concentration, Mixing, Micro clots SAMPLE PROCESSI NG Centrifugation, Transport, Temperature, Time, Storage SAMPLE PREPARATI ON Mixing, Aliquotting, Labeling, Evaporation ANALYSI S Precision Bias Interference Detection limit Linearity Sporadic faults RESULT HANDLI NG Transcription Data download Calculations RESULT I NTERPRETATI ON Reference intervals, Age & Sex, Interpretative comments REPORT Units Printing, Transcription, Transfer POSTANALYTICAL PREANALYTICAL ANALYTICALGeneral Approach ?
– Change laboratory habits and not to expand the uncertainty estimate.
– Risk management procedures or failure rates and should be dealt with by general quality management policies.
25
ISO 15189 – 2003(E)
– Comments (e.g. quality or adequacy of primary sample which may have compromised the result..)
primary sample received was unsuitable for examination or could have compromised the result
26
GUM 3.4.7 - Blunders
introduce significant unknown errors in the result of a measurement.
proper review of data,
appear as, random variations. – Measures of uncertainty are not intended to account for such mistakes.
27
ISO/IEC DIS 17025
– attempt to identify all the components of uncertainty
– All uncertainty components which are of importance shall be taken into account
materials, methods, equipment, environment, sample condition.
28
Sources of Uncertainty
Inputs
– Pipette imprecision – Standard curve confidence (Syx)
– Pipette imprecision – Evaporation
– Lot to lot variation – Mixing – Water quality
Analysis
– Novice/Experienced
– Temperature/Atm pressure
– Maintenance/cleaning
– Spectrophotometer
– Scintillation counter 29
Quantify the individual uncertainties
30
**** Warning ****
31
**** Statistical Exposure Ahead ****
The mean
32
q _ = 1 n
n
qk _
The variance
33
s2(qk) = 1 n-1
n
(qk-q)2 ___ _
The standard deviation
34
s (qk) = 1 n-1
n
(qk-q)2 ___ _
Two Categories of Uncertainty
– Those which are evaluated by statistical methods
– Those which are evaluated by other means –
– GUM 0.7
35
Practical considerations
measurement a varied, its uncertainty can be evaluated by statistical means.
practice due to limited time and resources, the uncertainty of a measurement result is usually evaluated using a mathematical model of the measurement and the law of propagation of uncertainty.
36
GUM 3.4.1
Type B evaluation
behavior and properties of relevant materials and instruments.
certificates.
taken from handbooks.
37
GUM 4.3.1
Type B & components
provided about the individual components from which the quoted uncertainty has been
standard uncertainties are treated in the same way when the combined standard uncertainty is calculated.
38
GUM 4.3.3
Which is better Category A or B?
evaluation of a standard uncertainty can be as reliable as a Type A evaluation, especially in a measurement situation where a Type A evaluation is based on a comparatively small number of statistically independent observation.
39
GUM 4.3.2
How many data points? GUM Table E1
40
n
Percent Increase in Uncertainty 2 76% 3 52% 4 42% 5 36% 10 24% 20 16% 30 13% 50 10%
CV = 5% : Estimates using n=3
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 0.5% 1.0% 1.5% 2.0% 2.5% % of ESTIMATES
CV = 5% : Estimates using n=4
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 0.5% 1.0% 1.5% 2.0% 2.5% 3.0% % of ESTIMATES
CV = 5% : Estimates using n=5
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 0.5% 1.0% 1.5% 2.0% 2.5% 3.0% % of ESTIMATES
CV = 5% : Estimates using n=10
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 1.0% 2.0% 3.0% 4.0% 5.0% % of ESTIMATES
CV = 5% : Estimates using n=20
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 1.0% 2.0% 3.0% 4.0% 5.0% 6.0% % of ESTIMATES
CV = 5% : Estimates using n=30
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 1.0% 2.0% 3.0% 4.0% 5.0% 6.0% 7.0% % of ESTIMATES
CV = 5% : Estimates using n=40
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 1.0% 2.0% 3.0% 4.0% 5.0% 6.0% 7.0% 8.0% 9.0% % of ESTIMATES
CV = 5% : Estimates using n=50
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 1.0% 2.0% 3.0% 4.0% 5.0% 6.0% 7.0% 8.0% 9.0% 10.0% % of ESTIMATES
CV = 5% : Estimates using n=100
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 2.0% 4.0% 6.0% 8.0% 10.0% 12.0% 14.0% % of ESTIMATES
CV = 5% : Estimates using n=200
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 5.0% 10.0% 15.0% % of ESTIMATES
CV = 5% : Estimates using n=300
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 5.0% 10.0% 15.0% 20.0% % of ESTIMATES
CV = 5% : Estimates using n=400
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 5.0% 10.0% 15.0% 20.0% 25.0% % of ESTIMATES
CV = 5% : Estimates using n=500
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 5.0% 10.0% 15.0% 20.0% 25.0% % of ESTIMATES
CV = 5% : Estimates using n=1000
0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% CV estimate 0.0% 5.0% 10.0% 15.0% 20.0% 25.0% 30.0% % of ESTIMATES
Uncertainty of Uncertainty
55
1 10 100 1000 20 30 50 200 500 4n
0.0% 10.0% 20.0% 30.0% 40.0% 50.0%
CVCV
CVCV
56
GUM 3.4.2
incomplete, all relevant quantities should be varied to the fullest practical extent so that the evaluation on uncertainty can be based as much as possible on observed data.
–‘Good range of inputs.’
57
GUM 3.4.2
measurement founded on long term quantitative data, and the use of check standards and control charts that can indicate if a measurement is under statistical control, should be part of the effort to
–‘Long period of evaluation.’
58
External QA vs Internal QC
External QA Internal QC Matrix Not patients Not patients Concentration points 8 2 or 3 Analytical Range Wider Reference Interval Measurements < = 16 Hundreds/Thousands* Period Months Months – Years* Bias Estimated* N/A Outliers Included Excluded*
59
* Advantages
60
Lab X (near QAP office) ALBUMIN
QA DATA QC DATA
8 2 Concentrations 24.9 – 51.6 25.8, 39.1 SD 0.65 0.55 CV% 1.7% 1.7% Number of Results 16 613, 615
CVQC vs CVQA
61
Creatine Kinase
62
QA QC CV% 3.3 1.5
(19th Percentile)
Range 61 - 788 135, 451
Calculate Combined Uncertainty
63
Combined Uncertainty (uc)
– u (or s) : standard deviation
– uc : the ‘sum’ of the known standard deviations
64
GUM 2.3.1 GUM 2.3.4
Combining Individual Uncertainties SD’s
(or difference)
– V = X + Y (V = X – Y) – SDV2 = SDX2 + SDY2 – Use absolute SD (not CV)
65
Sum or Difference
– AG = (Na + K) – (Cl + HCO3)
– SDAG2 = SDNa2 + SDK2 + SDCl2 + SDHCO32
66
Combining Individual Uncertainties CV%’s
(or quotient)
– V = X x Y (V = X / Y) – CV%V2 = CV%X2 + CV%Y2 – Use CV% (not absolute SD)
67
Product or Quotient
– Clearance= (UCr x Vol) / ( PCr x Time) – CVClearance2=CVUCr2+CVVol2+CVPCr2+CVTime2
68
EDMA European Diagnostic Manufacturer Association
– Manufacturer
– Intralaboratory imprecision – Variation between operators, instruments, reagents, labs
– Pre-analytical, Biological
– Interferences
69
Analytical Components
– Minimum approach – short term – uC(y) = (uCalibration2 + uImprecision2 + uInstrument2 + uReagent2)
– Minimum approach – long term – uC(y) = (uCalibration2 + uImprecision2)
70
Day to Day Lot to Lot Run to Run
Expanded Uncertainty (U)
– The confidence limits around a result
– The number of SD’s for the confidence limit – U = uc x k
71
GUM 2.3.5 GUM 2.3.6
Coverage factor
68.27% confidence
90%
95%
95.45%
99%
99.73%
having a confidence of 95% and taking n=3 produces an interval having a confidence interval of 99%.
72
GUM 6.3.3
73
Introduction to GUM
0.1 - “When reporting the result of a measurement of a physical quantity, it is
indication of the quality of the result be given so that those who use it can assess its reliability.”
74
ISO 15189 – 2003(E)
– uncertainty of measurement should be provided upon request;
75
Reporting Conventions
– Defines the result and the (combined) standard uncertainty
– Defines the result and the expanded uncertainty (k=2)
– Defines the expanded uncertainty at the specified confidence interval
76
Other Reporting mechanisms
– Significant figures – Commenting
77
What is the clinical value of MU?
78
Non-clinical uses of MU:
standards
materials
– GUM 1.1
79
ISO/IEC DIS 17025
– The laboratory shall use methods which meet the needs of the client
80
ISO 15189 – 2003(E)
procedures, …… which meet the needs
are appropriate for the examinations.
81
Clinical Application Overview
A: Appropriateness for Use
– Analytical uncertainty & biological variability
B: Diagnosis
– Clinical Decision Limit (eg Gluc >6.9 mmol/L) – Reference Interval
C: Monitoring
– Changes in result / clinical condition
D: Clinical Reporting of Uncertainty
– Confidence Limits – Significant figures – Commenting
E: Confidence in laboratory trouble shooting
82
LFT’s Female DOB 30/1/1934
83
Date 29/01 28/04 14/05 02/07 Units Range S BILI 38 29 27 34 umol/L (2-20) S ALP 234 192 206 193 U/L (30-120) S GGT 93 83 87 74 U/L (5-45) S ALT 124 137 113 103 U/L (5-40) S AST 187 202 167 166 U/L (5-40)
Some clinicians (and patients) believe that the results from laboratory assays have little of no uncertainty.
Sources of random variation
within-subject Biological Variation
Preparation of subject Sample collection
Imprecision Changes in bias
84
A single result represents a distribution
85
Biological plus analytical Biological Biological plus analytical Biological
Slide courtesy of Callum G FraserData on biological variation
Over the years, many compilations Ricos C, et al. Current databases on biologic variation: pros, cons and progress. Scand J Clin Lab Invest 1999;59:491-500 2010 update at http://www.westgard.com/biodatabase1.htm
86
Slide courtesy of Callum G FraserCallum Fraser
90
12:00 AM 6:00 AM 12:00 PM 6:00 PM 12:00 AM TIME 5 6 7 8 9 VALUE
CVa = 0
+0% more dispersion
91
12:00 AM 6:00 AM 12:00 PM 6:00 PM 12:00 AM TIME 5 6 7 8 9 VALUE
CVa = 0.25 CVb
+3% more dispersion
92
12:00 AM 6:00 AM 12:00 PM 6:00 PM 12:00 AM TIME 5 6 7 8 9 VALUE
CVa = 0.5 CVb
+12% more dispersion
93
12:00 AM 6:00 AM 12:00 PM 6:00 PM 12:00 AM TIME 5 6 7 8 9 VALUE
CVa = 0.75 CVb
+25% more dispersion
94
12:00 AM 6:00 AM 12:00 PM 6:00 PM 12:00 AM TIME 5 6 7 8 9 VALUE
CVa = CVb
+41% more dispersion
Appropriate Imprecision
CVA/ CVB Minimum 0.25 Desirable 0.50 Optimum 0.75
95
B: Diagnosis
–Reference Interval
–Diagnostic cutoff
96
Reference Interval Confidence
97
Per Hyltoft Petersen et al,
Uppsala Med J 1993;98:241-256
Analytical imprecision widens reference intervals
98
Biological Biological plus analytical False high False low RI
2.5% 2.5% Slide courtesy of Callum G Fraser
Effect of imprecision on proportion
– at both high and low values.
– at both high and low values.
99
Slide courtesy of Callum G FraserEffect of Imprecision on Cutoff Diagnosis
– Cholesterol >= 5.5 mmol/L – Fasting Glucose >= 7.0 mmol/L – Opiates >= 300 ug/L – 9deltaTHC >= 15 ug/L – Pregnant hCG >= 25 IU/L
100Effect of Analytical Imprecision on Cutoff Diagnosis
101 Per Hyltoft Petersen et al, Uppsala Med J 1993;98:221-240Effect of Analytical Imprecision on Cutoff Diagnosis
102 Per Hyltoft Petersen et al, Uppsala Med J 1993;98:221-240Analytical confidence above a cutoff:
103CUTOFF RESULT 95% confidence 1.96SD
Analytical confidence above a cutoff:
104CUTOFF RESULT No confidence ‘Borderline’ <1.96SD
MONITORING
same uncertainty
– Same bias – cancels out – Same imprecision (assumed)
105Analytical Confidence in a change:
106INITIAL FINAL
Analytical uncertainty of two results
= variation of test1 + variation of test2
95% confidence in a analytical change:
108INITIAL FINAL 2.8 SD
Significant change
– Reference change value – Critical difference – ‘Delta check ?’
Overall patient variability of two results
Total = variation of test1 + variation of test2
= z x (CVA2 +CVB2) + z x (CVA2+CVB2) = z x (2 x (CVA2+CVB2)) = 2 x z x (CVA2+CVB2) = 2.8 x (CVA2+CVB2)
111LFT’s Female DOB 30/1/1934
112Date 29/01 28/04 14/05 02/07 Units Range S BILI 38* 29* 27* 34* umol/L (2-20) S ALP 234* 192* 206* 193* U/L (30-120) S GGT 93* 83* 87* 74* U/L (5-45) S ALT 124* 137* 113* 103* U/L (5-40) S AST 187* 202* 167* 166* U/L (5-40)
Are any of these results different to the previous?
LFT’s Female DOB 30/1/1934
113Date 29/01 28/04 14/05 02/07 Units Range S BILI 38 29 27 34 umol/L (2-20) S ALP 234 192 206 193 U/L (30-120) S GGT 93 83 87 74 U/L (5-45) S ALT 124 137 113 103 U/L (5-40) S AST 187 202 167 166 U/L (5-40)
Are any of these results different to the previous? CDA 4 25 8 12 15
LFT’s Female DOB 30/1/1934
114Date 29/01 28/04 14/05 02/07 Units Range S BILI 38
29
27
34
umol/L (2-20) S ALP 234
192
206 193 U/L (30-120) S GGT 93
83
87
74
U/L (5-45) S ALT 124
137 113
103 U/L (5-40) S AST 187 202
167
166 U/L (5-40)
Are any of these results different to the previous? Some results are analytically different, CDA 4 25 8 12 15
CDT 23 44 33 81 61
Some results are analytically different, But none are clinically different.
LFT’s Female DOB 30/1/1934
115Date 29/01 28/04 14/05 02/07 Units Range S BILI 38
29
27
34
umol/L (2-20) S ALP 234
192
206 193 U/L (30-120) S GGT 93
83
87
74
U/L (5-45) S ALT 124
137 113
103 U/L (5-40) S AST 187 202
167
166 U/L (5-40)
Are any of these results different to the previous? CDA 4 25 8 12 15
CDT 23 44 33 81 61
results?
– 2.77 x (SDA
2 + SDW 2)– 2.77 x SDA – < 1.9 then round to ones “126” – < 9.9 then round to fives “125” – < 19 then round to tens “130” – < 99 then round to fifties “150” – < 190 then round to hundreds “100”
– The majority of analytes are inappropriately reported when analytical precision alone is
measurement has not been adequately addressed.
LFT’s Female DOB 30/1/1934
118Date 29/01 28/04 14/05 02/07 Units Range S BILI 38
29
27
34
umol/L (2-20) S ALP 234
192
206 193 U/L (30-120) S GGT 93
83
87
74
U/L (5-45) S ALT 124
137 113
103 U/L (5-40) S AST 187 202
167
166 U/L (5-40)
LFT’s Female DOB 30/1/1934
119Date 29/01 28/04 14/05 02/07 Units Range S BILI 40
30
30
35
umol/L (2-20) S ALP 250
200
200 200 U/L (30-120) S GGT 95
85
90
75
U/L (5-45) S ALT 120
140 110
100 U/L (5-40) S AST 190 200
170
170 U/L (5-40)
Glucose Uncertainty & Variability
– Glucose CVA=2.4% (QAP)
– Fasting blood glucose CVB= 7% – (2h post-load glucose CVB=15%)
Commenting 1
– Analytical confidence 8.5 +/- 0.4 mmol/L
– Biological confidence 8.5 +/- 1.2 mmol/L
Commenting 2
– Analytical confidence 7.5 +/- 0.4 mmol/L
– Biological confidence 7.5 +/- 1.1 mmol/L
to confirm.”
122Commenting 3
– Analytical confidence 7.0 +/- 0.3 mmol/L
– Biological confidence 7.0 +/- 1.0 mmol/L
Suggest repeat to confirm.”
123Change in HbA1c - 1
7.9
Change in HbA1c - 2
30/4/2004
7.9 8.1
Significant HbA1c changes
– CVA=2.0% – CVB=4.3%
=
2.77 * CVA – 8.0% +/- 0.4
– 8.0% +/- 1.0
126Change in HbA1c - 3
30/4/2004
7.9 8.1
control is now bad.”
Change in HbA1c - 4
30/4/2004
7.9 8.1
Laboratory Confidence
analytical uncertainty contribute to clinical confidence.
– Laboratory can solve QC failures faster. – Faster TAT to clinician. – Greater understanding of occasional analytical errors that are released
Summary (1)
degree of result dispersion and the contributory factors for decades.
bias have had little clinical relevance.
– Identifying their measurement uncertainty. – Ensuring doctors are aware of it. – Understanding its potential clinical impact.
130Summary (2)
– Any single test result has an uncertainty. – Uncertainty must be kept within useful limits. – Diagnosis is made allowing for uncertainty. – Monitoring for significance changes is made by allowing for uncertainty. – Ability to gain and maintain clinicians confidence depends on our understanding of uncertainty.
131Precision Profile
measuring concentration range
134‘Creatinine’
10 100 1000 umol/L Creatinine Level 0% 5% 10% 15% 20% 25% 30% CVcreatinine 135CREATININE Critical Difference
10 100 1000 500 umol/L Creatinine Level 20 40 60 80 100 5 10 Critical Difference 136