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AFRIMETS.QM-K27
DETERMINATION OF ETHANOL IN AQUEOUS MATRIX
FINAL REPORT
January 2013
COORDINATING LABORATORY
National Metrology Institute of South Africa (NMISA)
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
Page 2 of 40
AFRIMETS.QM‐K27 Study: Determination of Ethanol in Aqueous Matrix
Marcellé Archer, Maria Fernandes-Whaley, Ria Visser, Jayne de Vos, Sara Prins National Metrology Institute of South Africa (NMISA) Pretoria, South Africa Adriana Rosso and Mariana Ruiz de Arechavaleta Instituto Nacional de Tecnologia Industrial (INTI) Buenos Aires, Argentina Ibrahim Tahoun National Institute for Standards (NIS) Giza, Egypt Elias Kakoulides National Reference Laboratory in Chemical Metrology (E.XH.M) Athens, Greece Caleb Luvonga and Geoffrey Muriira Kenya Bureau of Standards (KEBS) Nairobi, Kenya Evaldas Naujalis State Research Institute Centre for Physical Sciences and Technology (VMT/FTMC) Vilnius, Lithuania Osman Bin Zakaria National Metrology Laboratory (SIRIM) Sepang, Malaysia Mirella Buzoianu National Institute of Metrology (INM) Bucharest, Romania Jelena Bebić Directorate of Measures and Precious Metals (DMDM) Belgrade, Serbia Ben Achour Mounir National Institute of Research and Physical and Chemical Analysis (INRAP) Arania, Tunisia Ngo Huy Thanh Vietnam Metrology Institute (VMI) Hanoi City, Vietnam
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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TABLE OF CONTENTS
Abbreviations ....................................................................................................................... 5 Introduction .......................................................................................................................... 6 Participants .......................................................................................................................... 7 Materials .............................................................................................................................. 7 Measurement protocol ......................................................................................................... 8 Key comparison reference value ......................................................................................... 9 Schedule .............................................................................................................................. 9 Measurement equation for assigned reference value ........................................................ 10 Uncertainty evaluation of the assigned reference value .................................................... 10 Measurement methods ...................................................................................................... 10 Results ............................................................................................................................... 10 Sources of uncertainty ....................................................................................................... 18 Discussion of results .......................................................................................................... 27 Supported CMC claims ...................................................................................................... 28 Conclusions ....................................................................................................................... 28 References ......................................................................................................................... 30 Coordinator ........................................................................................................................ 30 Appendix 1- Degrees of equivalence ................................................................................. 31 Appendix 2- Standard deviation for proficiency assessment ............................................. 37 Tables and figures
Table 1 Summary of CCQM OAWG key comparison K27 series ........................................ 6 Table 2 AFRIMETS.QM-K27 participants ............................................................................ 7 Table 3 Preparation of solutions .......................................................................................... 8 Table 4 AFRIMETS.QM-K27 Schedule ............................................................................... 9 Table 5 Analytical instruments and traceability standards used by participants ................ 11 Table 6 Results for Level 1 ................................................................................................ 12 Table 7 Results for Level 2 ................................................................................................ 13 Table 8 Sources of uncertainty .......................................................................................... 18 Table A1 Degrees of equivalence for Level 1 .................................................................... 32 Table A2 Degrees of equivalence for Level 2 .................................................................... 33 Table A3 Relative degrees of equivalence for CCQM-K27a/ b, CCQM-K27.1, CCQM-K27.2 and AFRIMETS.QM-K27 and associated relative expanded uncertainty ............................................................................ 35
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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Figure 1 Mean results for each participant for Level 1 (standard uncertainty) ............... 14 Figure 2 Mean results for each participant for Level 1 (expanded uncertainty) ............. 15 Figure 3 Mean results for each participant for Level 2 (standard uncertainty) ............... 16 Figure 4 Mean results for each participant for Level 2 (expanded uncertainty) ............. 17 Figure 5 Percentage differences from the assigned reference value for the
AFRIMETS.QM-K27 study ..…………………………………..………….………..27 Figure 6 Percentage differences of the results from the KCRV or assigned
reference value for CCQM-K27a, CCQM-K27.1, CCQM-K27.2 and AFRIMETS.QM-27……………………………………………………..……………29
Figure A1 Degrees of equivalence for Level 1 ................................................................. 34 Figure A2 Degrees of equivalence for Level 2 ................................................................. 34 Figure A3 Relative DoE for CCQM-K27a/ b, CCQM-K27.1, CQM-K27.2 and
AFRIMETS.QM-K27 ........................................................................................ 36 Figure A4 Comparison of CCQM-K27a and participant uncertainties, Level 1 ................ 38 Figure A5 Comparison of CCQM-K27a and participant uncertainties, Level 2 ................ 39 Figure A6 Comparison of Horwitz and NMISA study uncertainties, Level 1 .................... 40 Figure A7 Comparison of Horwitz and NMISA study uncertainties, Level 2 .................... 40
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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ABBREVIATIONS
AFRIMETS Intra-Africa Metrology system APMP Asia Pacific Metrology Programme BIPM International bureau of weights and measures CCQM Consultative committee for amount of substance CMC Calibration and measurement capability DI Designated institute EURAMET European Association of National Metrology Institutes FID Flame ionisation detector GC Gas chromatography GC-ID-MS Gas chromatography-isotope dilution-mass spectrometry KCDB Key comparison database NMI National metrology institute OAWG Organic analysis working group RMO Regional metrology institute SIM Interamerican metrology system TOFMS Time-of-flight mass spectrometry
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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INTRODUCTION
The accurate determination of ethanol content in aqueous medium is critical for regulatory
forensic and trade purposes. For forensic purposes, ethanol is determined for the effective
regulation of blood alcohol levels (e.g., driving under the influence of alcohol, autopsies,
etc.). As a trading commodity, ethanol content is determined for the classification, control
and taxation of alcoholic beverages.
The CCQM Organic Analysis Working Group has carried out several key comparisons on
the determination of ethanol in wine and aqueous matrices, these are summarised in Table
1. Reports on these comparison results can be downloaded from the BIPM KCDB website
[1].
Table 1: Summary of CCQM OAWG key comparison K27 series
Year Comparison Description
2002 CCQM-K27a Forensic aqueous ethanol [1]
2002 CCQM-K27b Ethanol in wine as commodity [2]
2003 CCQM-K27.1 Subsequent forensic aqueous ethanol [3]
2006 CCQM-K27.2 Subsequent forensic aqueous ethanol [4]
The CCQM-K27 comparison series has demonstrated international measurement
comparability between NMIs for the determination of this much traded and forensically
important compound. In addition, the type B key comparison CCQM-K79 (2010) compared
aqueous ethanol certified reference material (CRM) solutions produced and assayed by
various NMIs [5]. The CCQM-K79 comparison also supports capabilities demonstrated in the
CCQM-K27 comparison series.
Within the AFRIMETS RMO, certain NMIs/ DIs have indicated the need to demonstrate their
measurement capability for the determination of ethanol in aqueous matrices. AFRIMETS
therefore conducted a regional key comparison which was also open to interested
international NMIs.
The National Metrology Institute of South Africa (NMISA) coordinated this comparison. The
NMISA has demonstrated its capability in CCQM-K27.1, CCQM-K27.2 and CCQM-K79, and
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
Page 7 of 40
is an accredited CRM producer for aqueous ethanol solutions. The NMISA currently has
calibration and measurement capabilities (CMCs) in the BIPM Key Comparison Database
(KCDB) for the determination of aqueous ethanol solutions.
PARTICIPANTS
Table 2 lists the participants, institute and RMO, for this comparison.
Table 2: AFRIMETS.QM-K27 Participants
Abbreviation Institute Country RMO
INTI Instituto Nacional de Technologia Industrial Argentina SIM
NIS National Institute for Standards Egypt AFRIMETS
E.XH.M-GCSL/EIM
National Reference Laboratory in Chemical Metrology Greece EURAMET
KEBS Kenya Bureau of Standards Kenya AFRIMETS
VMT/FTMC State Research Institute Center for Physical Sciences and Technology
Lithuania EURAMET
NML-SIRIM National Metrology Laboratory Malaysia APMP
INM National Institute of Metrology Romania EURAMET
DMDM Directorate of Measures and Precious Metals Serbia EURAMET
INRAP Institut National de Recherche et d’Analyse Physico-Chimique
Tunisia AFRIMETS
VMI Vietnam Metrology Institute Vietnam APMP
MATERIALS
Two solutions of ethanol in water were gravimetrically prepared by mixing known masses of
pure water and ethanol. The purity of the ethanol used to prepare the samples was
assessed by headspace GC-FID and on-column direct injection GC-FID, on two different
stationary phases. Potential impurities were also screened for by GC-TOFMS. Karl Fischer
coulometric titration was used to assess the water content.
The solutions were bottled into 25 ml glass containers and sealed. There were 64 bottles in
each batch. The concentrations were then confirmed by titrimetric analysis of eight bottles
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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from each batch, selected by taking the first and every eighth bottle from each batch. The
results obtained are given in Table 3. The analysis confirmed the concentration and
homogeneity of the samples and the assigned value was based on the purity-corrected
gravimetric preparation and titrimetric homogeneity.
Table 3: Preparation of solutions
Gravimetric
concentration
(mg/g)
Mean titrimetric
concentration
(mg/g)
Between-bottle
homogeneity
(%RSD)
Assigned
concentration
(mg/g)
0,3249 ± 0,0002 0,3273 ± 0,0023 0,32 0,3249 ± 0,0021
4,6649 ± 0,0028 4,6769 ± 0,0180 0,16 4,6649 ± 0,0152
Similar solutions were found to be stable for at least 24 months after bottling. The stability
was tested at storage conditions as well as expected shipping conditions (up to 35ºC).
MEASUREMENT PROTOCOL
DESCRIPTION OF MATERIALS
Each participant received two 25 ml bottles of aqueous ethanol solutions at each concentration
level, i.e., four bottles in total. The study consisted of two different concentrations of aqueous
ethanol solution, viz 0,3249 ± 0,0021 mg/g and 4,6649 ± 0,0152 mg/g.
STORAGE OF MATERIALS
The samples should have been stored at temperatures between +2°C and +8°C after
receipt. They should have been allowed to reach room temperature prior to analysis.
INSTRUCTIONS FOR USE
Participants were required to analyse duplicate sub-samples from each of the two bottles at
each level. Sub-samples could be taken from the bottle at different times, provided that
precautions were taken to prevent undue evaporation (having the bottle open for a minimum
amount of time, closing it securely and storing it appropriately). It was not recommended that
the sample be transferred to another bottle before use.
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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REPORTING OF RESULTS
Participants were requested to determine the mass fraction (mg/g) of ethanol in the two
samples.
An electronic result sheet was distributed to the participants. Analytical results that were to
be reported include:
(i) mass fraction of ethanol in mg/g;
(ii) detailed technical information describing the methodology used;
(iii) the source and purity of any reference and/or standard materials used;
(iv) and a full measurement uncertainty budget (including all potential uncertainty
components for the measurand; combined standard uncertainty; expanded uncertainty
and the coverage factor).
KEY COMPARISON REFERENCE VALUE (KCRV)
According to the CIPM MRA document concerning measurement comparisons, only CIPM
key comparisons, i.e., those performed by Consultative Committees or the BIPM, may have
a KCRV. Key comparisons performed by regional metrology organizations (RMOs) link to
the KCRV through reference to the results from those institutes which have also taken part in
the CIPM key comparison [6]. The assigned reference value of the aqueous ethanol
solutions will be used to link AFRIMETS.QM-K27 to the CCQM-K27 comparison KCRV. The
assigned reference values for AFRIMETS.QM-K27 are the assigned concentrations (mg/g)
listed in Table 3. NMISA’s capability to gravimetrically prepare ethanol solutions was
demonstrated in CCQM K79 [5].
SCHEDULE
Table 4: AFRIMETS.QM-K27 Schedule
Call for participation June 2011
Registration deadline 30th June 2011
Sample distribution End July 2011
Data due to coordinator 15th September 2011 extended to 23rd September 2011
Initial report of results October 2011
Discussion of results
October 2011,
November 2011 CCQM OAWG meeting
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
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MEASUREMENT EQUATION FOR ASSIGNED REFERENCE VALUE
The assigned reference value was based on the gravimetric preparation of the solutions
using Equation 1.
∗ ∗
/ [Eqn. 1]
where the masses are given in grams.
UNCERTAINTY EVALUATION OF THE ASSIGNED REFERENCE VALUE
The standard uncertainty was evaluated from Equation 2.
∗
/
[Eqn. 2] where the homogeneity is the between-bottle homogeneity as determined titrimetrically.
The expanded uncertainty at approximately 95% level of confidence was assigned from Equation 3.
∗ / [Eqn. 3] where U is the expanded uncertainty, u is the standard uncertainty and k is the coverage factor; k =2.
MEASUREMENT METHODS
The analytical instrumentation, traceability and quantification used by each participant is
summarized in Table 5. All participants established traceability through in-house certified
reference materials or through certified reference materials from other NMIs.
RESULTS
The results are tabulated in Table 6 for Level 1 and in Table 7 for Level 2. The mean results
for each participant are plotted in Figures 1 to 4. The uncertainty bars in Figures 1 and 3
represent the standard uncertainty (k = 1) reported by each laboratory. The uncertainty bars
in Figures 2 and 4 represent the expanded uncertainty reported by each laboratory. The
titrimetric results from NMISA are included for reference.
AFRIMETS.QM-K27 Determination of ethanol in aqueous matrix
Page 11 of 40
Table 5: Analytical instruments and traceability standards used by participants
Institute Instrumentation Traceability standards Quantification
INTI GC-FID, with a DB Wax capillary column
In-house reference materials verified by NIST SRM 1847
10–point calibration curve with methyl ethyl ketone internal standard
NIS Headspace GC-FID, with a DB Wax capillary column
NIS certified aqueous ethanol solutions
5-Point calibration curve with 1-propanol internal standard
E.XH.M GC-FID and GC-IT-MS, with Porabond-Q capillary column
NIST SRM 2896 Exact matching GC-ID-MS
KEBS GC-FID, with a Varian CP-Sil 5 CB capillary column
NIST SRM 1828b (six levels)
5-Point calibration curve with 1-propanol internal standard
VMT/FCMT GC-FID, with a DB Wax capillary column
ERM-AC510a and ERM-AC403d
Bracketing
NML-SIRIM GC-FID, with a TR Wax 230810 capillary column
NIST ethanol CRM 7-point calibration curve followed by exact matching GC-MS with 1-propanol as internal standard
INM Titrimetry NIST SRM 136f potassium dichromate
Oxidation of ethanol, followed by back-titration of potassium dichromate by sodium thiosulphate
DMDM GC-MS and GC-FID LNE aqueous ethanol solution
GC-FID with 5-point calibration curve
INRAP Headspace GC, with HP Innowax PEG capillary column
NMISA aqueous ethanol CRMs
6-Point calibration curve with acetonitrile internal standard
VMI Titrimetry Oxidation of ethanol, followed by back-titration of potassium dichromate by sodium thiosulphate
NMISA Titrimetry ERM AC402b & ERM AC409a
Oxidation of ethanol, followed by back-titration of potassium dichromate by iron ammonium sulphate
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 12 of 40
Table 6: Results for Level 1
Institute
Ethanol mass fraction (mg/g)
Mean CV (%) Standard
uncertainty (mg/g)
Expanded uncertainty
(mg/g)
Coverage factor k
Bottle 1 Bottle 2
INTI 0,3268 0,3279
0,3308 0,3317
0,3293 0,7061 0,0026 0,0052 2
NIS 0,3327 0,3312 0,3320 0,3195 0,003 0,006 2
E.XH.M 0,3306 0,3299 0,3303 0,1499 0,0020 0,0040 2
KEBS 0,2995 0,3037 0,3016 0,9847 0,0008 0,0016 2
VMT/FTMC 0,306 0,305 0,306 0,231 0,003 0,006 2
NML-SIRIM 0,31 0,31 0,31 0,0 0,005 0,01 2
INM 0,203 0,228
0,266 0,283
0,245 14,788 0,0085 0,017 2
DMDM 0,3663 0,36072 0,3635 1,0854 0,0028 0,0057 2
INRAP 0,308 0,333 0,321 5,516 0,008 0,016 2
VMI 0,324 0,322 0,323 0,438 0,002 0,004 2,14
NMISA 0,3273* 0,322 (n = 8) 0,0012 0,0023 2
* mean of titrations of aliquots from eight separate bottles
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 13 of 40
Table 7: Results for Level 2
Institute
Ethanol mass fraction (mg/g)
Mean CV (%) Standard
uncertainty (mg/g)
Expanded uncertainty
(mg/g)
Coverage factor k
Bottle 1 Bottle 2
INTI 4,631 4,638
4,694 4,684
4,662 0,683 0,036 0,072 2
NIS 4,671 4,668 4,670 0,045 0,017 0,034 2
E.XH.M 4,754 4,789 4,772 0,519 0,0266 0,0533 2
KEBS 4,7880 4,7172 4,7526 1,0534 0,0119 0,0239 2
VMT/FTMC 4,51 4,47 4,49 0,630 0,04 0,08 2
NML-SIRIM 4,69 4,69 4,69 0,0 0,03 0,06 2
INM 4,62 4,48
4,55 4,71
4,59 2,14 0,07 0,14 2
DMDM 5,01193 5,00788 5,00991 0,05716 0,022 0,045 2
INRAP 4,179 4,270 4,22 1,52 0,013 0,026 2
VMI 4,665 4,663 4,664 0,030 0,021 0,045 2,2
NMISA 4,6749* 0,160 (n = 8) 0,0180 0,0360 2
* mean of titrations of aliquots from eight separate bottles
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 14 of 40
Figure 1: Mean result for each participant for Level 1 with their reported standard uncertainty (u). The assigned reference value for Level 1 (solid red line) is 0,3249 mg/g. The calculated combined standard uncertainty of the assigned reference value is 0,0011 mg/g. Dashed red lines show the assigned reference value ± uc (k = 1)
0.24
0.26
0.28
0.30
0.32
0.34
0.36
INM
KE
BS
VM
T/F
TM
C
NM
L-S
IRIM
INR
AP
VM
I
NM
ISA
INT
I
E.X
H.M NIS
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
AFRIMETS.QM-K27Aqueous ethanol: Level 1
Comparison of results (standard uncertainty)
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 15 of 40
Figure 2: Mean result for each participant for Level 1 with corresponding reported expanded uncertainty (U95%). The assigned reference value for Level 1 (solid red line) is 0,3249 mg/g. The expanded uncertainty for 95% coverage range of the assigned reference value (dashed red lines) is 0,0021 mg/g.
0.23
0.25
0.27
0.29
0.31
0.33
0.35
0.37
INM
KE
BS
VM
T/F
TM
C
NM
L-S
IRIM
INR
AP
VM
I
NM
ISA
INT
I
E.X
H.M NIS
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
AFRIMETS.QM-K27Aqueous ethanol: Level 1
Comparison of results (expanded uncertainty)
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 16 of 40
Figure 3: Mean result for each participant for Level 2 with their reported standard uncertainty (u). The assigned reference value for Level 2 (solid red line) is 4,6649 mg/g. The calculated combined standard uncertainty of the assigned reference value is 0,0076 mg/g. Dashed red lines show the assigned reference value ± uc (k = 1)
4.19
4.29
4.39
4.49
4.59
4.69
4.79
4.89
4.99
INR
AP
VM
T/F
TM
C
INM
INT
I
VM
I
NIS
NM
ISA
NM
L-S
IRIM
KE
BS
E.X
H.M
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
AFRIMETS.QM-K27Aqueous ethanol: Level 2
Comparison of results (standard uncertainty)
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 17 of 40
Figure 4: Mean result for each participant for Level 2 with corresponding reported expanded uncertainty (U95%). The assigned reference value for Level 2 (solid red line) is 4,6649 mg/g. The expanded uncertainty for 95% coverage range of the assigned reference value (dashed red lines) is 0,0152 mg/ .
4.19
4.29
4.39
4.49
4.59
4.69
4.79
4.89
4.99
INR
AP
VM
T/F
TM
C
INM
INT
I
VM
I
NIS
NM
ISA
NM
L-S
IRIM
KE
BS
E.X
H.M
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
AFRIMETS.QM-K27Aqueous ethanol: Level 2
Comparison of results (expanded uncertainty)
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 18 of 40
SOURCES OF UNCERTAINTY
The sources of uncertainty as identified by the participants are tabulated in Table 8. Table 8: Sources of uncertainty
Institute Uncertainty identified
INTI
- Repeatability intra aliquot - Reproducibility inter aliquot/bottle - SRM uncertainty - accuracy (bias)
2222 accuracytyuncertainSRMilityreproducibityrepeatabilu
NIS
1- Level 1 - Measurement precision 0.91% - Sample mass (Balance linearity) 0.006 % - Internal standard mass (Balance linearity) 0.003% - Calibration solution (Balance linearity and purity of ethanol) 0.005% - Combined standard uncertainty (%) 0.91 % - Combined standard uncertainty 0.003 mg g-1 - Coverage factor 2.0 - Combined expanded uncertainty 0.006 mg g-1
2- Level 2 - Measurement precision 0.35% - Sample mass (Balance linearity) 0.003% - Internal standard mass (Balance linearity) 0.003% - Calibration solution (Balance linearity and purity of ethanol) 0.005% - Combined standard uncertainty (%) 0.361% - Combined standard uncertainty 0.0163 mg g-1 - Coverage factor 2.0 - Combined expanded uncertainty 0.0327 mg g-1
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 19 of 40
Institute Uncertainty identified
E.XH.M
value sample A sample B units
Method precision 1,00000 0,005900 0,079650 mg/g
EtOH conc. in calibrant 0,33441 0,000193 0,000193 mg/g
mass of calibrant 0,60000 0,000004 0,000004 g
mass of IS added to calibrant 0,60000 0,000004 0,000004 g
mass of sample 0,60000 0,000004 0,000004 g
mass of IS added to sample 0,60000 0,000004 0,000004 g
combined standard uncertainty 0,001982 0,026636 mg/g
coverage factor 2 2
expanded uncertainty 0,003965 0,053273 mg/g
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
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Institute Uncertainty identified
KEBS
Sample: Level 2
Description Value x Standard
Uncertainty µ(x)
Relative Standard Uncertainty µ(x)/x
(µ(x)/x)^2 Remark
Weighing Uncertainty 200.00 0.1200 0.0006 0.00000036
Calibration certificate of mass balance Q/16/Q23/55
Calibration error 0.0015 0.00034 0.221657879 0.049132215 Calibration error of estimate Sxo
Ethanol CRM Concentration
0.1951 0.0018 0.009226038 8.51198E-05
Calibration certificate
0.3900 0.0046 0.011794872 0.000139119
0.8023 0.0074 0.009223482 8.50726E-05
1.0084 0.0083 0.008230861 6.77471E-05
1.7010 0.0140 0.008230453 6.77404E-05
µ (Precision) 4.7526 0.0355 0.007471452 5.58226E-05 ESDM for Sample Level 2
µ (Bias) 0.9034 0.0196 0.021695816 0.000470708 ESDM for Recovery
0.050103905 0.002510401 Combined Relative Standard u (RSS)
0.011930949 Combined Standard u(x)c
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
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Institute Uncertainty identified
0.023861899 Expanded U (k=2)
0.502080259 % Relative U
Sample: Level 1
Description Value x Standard Uncertainty µ(x)
Relative Standard Uncertainty µ(x)/x
(µ(x)/x)^2 Remark
Weighing Uncertainty 500.00 0.1200 0.00024 5.76E-08
Calibration certificate of mass balance Q/16/Q23/55
Calibration error 0.0015 0.00034 0.221657879 0.049132215 Calibration error of estimate Sxo
Ethanol CRM Concentration
0.1951 0.0018 0.009226038 8.51198E-05
Calibration certificate
0.3900 0.0046 0.011794872 0.000139119
0.8023 0.0074 0.009223482 8.50726E-05
1.0084 0.0083 0.008230861 6.77471E-05
1.7010 0.0140 0.008230453 6.77404E-05
µ (Precision) 0.3009 0.0096 0.032008301 0.001024531 ESDM for Sample Level 1
µ (Bias) 0.9034 0.0196 0.021695816 0.000470708 ESDM for Recovery
0.051072311 0.002608381 Combined Relative Standard u (RSS)
0.000784919 Combined Standard u(x)c
0.001569838 Expanded U (k=2)
0.521676197 % Relative U
VMT/FCMT
1) Measurement of samples (A-type uncertainty) 2) Measurement of calibration standards (A-type uncertainty) 3) Concentration of calibration solution (B-type uncertainty) Measurement of samples uncertainty had relatively the biggest contribution in the overall uncertainty budget
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
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Institute Uncertainty identified
NML-SIRIM
Level 1
Level 2
Method precision21.818%
cz0.001%
method Bias78.145%
my0.012%
myc0.010%
mzc0.010%
mx0.004%
Method precision99.79%
cz0.0000002%
my0.05%
myc0.05%
mzc0.05%
mx0.05%
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 23 of 40
Institute Uncertainty identified
INM
An example of the uncertainty budget for bottle 42, level 1, aliquot 2
Description Value Standard uncertainty
Relative standard uncertainty
V difference of volumes of titrant used
3.9 [ml] 0.0216 0.005538
ctitr molar concentration of titrant
0.1 [mol/L] 0.0015 0.00015
Ftitr factor of titrant 0.998 0.0005 0.0005
MC2H5OH molar mass of ethanol 46.06844 0.00118 0.0000256
fstoich stoichiometric factor 0.25 0 0
frep Repeatability 1 0.0146 0.0146
maliquot mass of aliquot 0.99925 [g] 0.00005 0.00005004
fb correction factor for buoyancy
0.99985 0.00005 0.00005001
wC2H5OH mass fraction of ethanol 4.48 0.06999 0.015624
DMDM
Relative contributions in % for all contributors
Rf B0 B1 Cint R
63.63 1.33 3.41 0.0060 31.62
B0 is the intercept of the calibration curve B1 is the slope of the calibration curve Cint is the mass concentration of the internal standard R is the recovery factor
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
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Institute Uncertainty identified
INRAP
Uncertainty due to variation in the extraction protocol or in the sample preparation is almost compensated by the use of internal standard calibration method. Nevertheless, the major components of the uncertainty are for level 1 (0,01g/100g) (For the other levels see the U(c) spreadsheet in the attached excel file).
Type A
uA(C)=0,00072g/100g
Type B :
uB (c) =0,00023 g/100g
uu BAcu 22)(
U(c)=K.u(c)
with k is coverage factor (k=2)
VMI
Level 1 Description Value x Standard uncertainty u(x)
Relative standard uncertainty u(x)/x
Repeatability 0.323 mg/g 0.00142 mg/g 0.0044
VVu
vvu
ccuCcu c
PEPEc
meremerec
B)()()(
)(222
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 25 of 40
Institute Uncertainty identified
Concentration of titrant
0.050665 mol/l 0.0000182 mol/l 0.00036
Volume of titrant 26.18 ml 0.0245 ml 0.00094 Concentration of K2Cr2O7 solution
0.010478 g/g 0.000004 g/g 0.0003
Level 2 Description Value x Standard uncertainty u(x)
Relative standard uncertainty u(x)/x
Repeatability 4.664 mg/g 0.0114 mg/g 0.00244 Concentration of titrant
0.10047 mol/l 0.00003 mol/l 0.0003
Volume of titrant 19.15 ml 0.0245 ml 0.00128 Concentration of K2Cr2O7 solution
NMISA
[EtOH] = 100 * ([K2Cr2O7] / (4.2565 * MassEtOH soln)) * (MassK2Cr2O7 soln – (Titre(NH4)2Fe(SO4)2/ h)) mg/ 100g where [K2Cr2O7] is the concentration of the potassium dichromate solution used, in mg/g MassEtOH soln is the mass of the ethanol solution taken for analysis, in g MassK2Cr2O7 soln is the mass of the potassium dichromate solution aliquot added to the ethanol solution, in g Titre(NH4)2Fe(SO4)2 is the volume of ammonium iron sulphate titrant used for the aliquot, in ml the term ‘h’ refers to the blank, the average of the ratio of the ammonium iron sulphate titre to the mass of potassium dichromate titrated (titre(NH4)2Fe(SO4)2/ massK2Cr2O7). 1 gram ethanol reacts with 4.2565 grams K2Cr2O7
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 26 of 40
Institute Uncertainty identified
Summary of uncertainty contributionsParameter x u(x) u(x)/x
u(Precision) 467.694 0.264871 0.000566u([K2Cr2O7]) 4.904341 0.002835 0.000578u(Conv) 4.257178 0.000112 2.63E-05
u(fox) 1 0.00113 0.00113
u(fimp) 1 0.0002 0.0002
u(Blank) 1.997706 0.002249 0.001126u(Titre) 10.36233 0.007054 0.000681
u(Prec is ion)
u([K2Cr2O7])
u(Conv)
u(fox )
u(f imp)
u(Blank)
u(T itre)
Comparison of uncertainty contributions
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 27 of 40
DISCUSSION OF RESULTS
As discussed in past CCQM-K27 studies, the expected spread (%CV) of higher order
measurements of ethanol in aqueous medium is about 0,85% relative [3, 4]. In this study the
CV for Level 1 is about 12% (about 10% with two INM outliers removed) and for Level 2
about 4%.
In the CCQM-K27.2 study four of the five participating laboratories submitted results that
were within 1,5% of the gravimetric reference value. In the AFRMETS.QM-K27 study three
of the ten laboratories submitted (mean) results within 1,5% of the gravimetric reference
value for Level 1.
For Level 2 four of the ten participating laboratories submitted mean results within 1,5% of
the gravimetric reference value. The percentage difference from the assigned reference
value for both levels is presented in Figure 5. The NMISA titrimetric results are included for
reference.
Figure 5: Percentage differences from the assigned reference value for the AFRIMETS.QM-K27 study, where the solid red line represents the zero-bias line and the blue dotted lines the ± 1,5% difference from zero-bias levels. The results are plotted relative to the assigned reference value and the error bars represent the expanded uncertainties reported by each participating laboratory, converted to percentages. Level 1 is represented by pink markers and Level 2 by blue markers.
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0
5
10
15
INM
- L
eve
l 1
INM
- L
eve
l 2
KE
BS
- L
eve
l 1
KE
BS
- L
eve
l 2
VM
T/F
TM
C -
Leve
l 1
VM
T/F
TM
C -
Leve
l 2
NM
L-S
IRIM
- L
eve
l 1
NM
L-S
IRIM
- L
eve
l 2
INR
AP
- L
eve
l 1
INR
AP
- L
eve
l 2
VM
I -
Leve
l 1
VM
I -
Leve
l 2
INT
I -
Le
vel 1
INT
I -
Le
vel 2
E.X
H.M
- L
eve
l 1
E.X
H.M
- L
eve
l 2
NIS
- L
eve
l 1
NIS
- L
eve
l 2
DM
DM
- L
eve
l 1
DM
DM
- L
eve
l 2
NM
ISA
- L
eve
l 1
NM
ISA
- L
eve
l 2
% D
iffe
ren
ce f
rom
assig
ne
d r
efe
ren
ce v
alu
e
AFRIMETS.QM-K27Percentage differences from assigned reference values for Level 1 and Level 2
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 28 of 40
Two of the participating laboratories, Instituto Nacional de Tecnologia Industrial (INTI) and
Vietnam Metrology Institute (VMI), achieved mean results within 1,5% of the gravimetric
reference value for both levels.
The National Reference Laboratory in Chemical Metrology (E.XH.M-GCSL/EIM) from
Greece identified an error in their calculation formula after the draft report was released to all
participants. E.XH.M-GCSL/EIM re-submitted corrected results of 0,3284 mg/g for level 1
and 4,7460 mg/g for level 2. The corrected results have not been included with the reported
results, but have been recorded here for future reference if needed.
The results of the AFRIMETS.QM-K27 study are compared to those of the previous CCQM-
K27 studies in Figure 6. Although there was much interest and need for a comparison to
support this measurement capability, as reflected by the number of participants, it is clear
from Figure 6 that some NMIs still require improvement.
In Appendix 1, the degrees of equivalence of the results are summarized.
SUPPORTED CMC CLAIMS
The information in this report may be used by participants to support any future CMC claim
in the BIPM database relating to the assay of aqueous ethanol solutions for the respective
concentration ranges 0,1 mg/g to 5 mg/g determined in this study.
CONCLUSIONS
The majority of the results do not compellingly demonstrate the ability of the participants to
accurately measure ethanol in aqueous medium in the concentration range 0,1 mg/g to 5
mg/g. Participants in the AFRIMETS-K27 study would have benefited from a pilot study in
which to test their measurement capability prior to participation in the key comparison.
Several NMIs, however, will still be able to make new CMC claims based on their
performance in this comparison.
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 29 of 40
Figure 6: Percentage differences of the results from the KCRV or assigned reference value for CCQM-K27a, CCQM-K27.1, CCQM-K27.2 and AFRIMETS.QM-K27. The results are plotted relative to the zero-bias line and the blue lines represent the ± 1% limits recommended in previous studies, except for Level 4 of the CCQM-K27.1 study which is 0,295%. The participants not previously mentioned in this report are: National Analytical Reference Laboratory, Australia (NARL), National Research Centre for Certified Reference Materials, China (NRCCRM), Laboratoire National d’Essais, France (LNE), Bundesanstalt fűr Materialforschung und –prűfung, Germany (BAM), National Metrology Institute of Japan (NMIJ), Korea Research Institute of Standards and Science (KRISS), D.I. Mendeleyev Institute for Metrology, Russia (VNIIM), Laboratory of the Government Chemist, United Kingdom (LGC), National Institute of Standards and Technology, USA (NIST), and the following countries: Brazil (INMETRO), Chile (CMQFC), Mexico (CENAM) and South Africa (CSIR-NML, now NMISA).
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-25
-20
-15
-10
-5
0
5
10
15
BA
M-a
-AB
AM
-a-B
BA
M-a
-CK
RIS
S-a
-AK
RIS
S-a
-BLG
C-a
-ALG
C-a
-BLG
C-a
-CLN
E-a
-ALN
E-a
-BLN
E-a
-CN
AR
L-a
-AN
AR
L-a
-BN
AR
L-a
-CN
IST
-a-A
NIS
T-a
-BN
IST
-a-C
NM
IJ-a
-AN
MIJ
-a-B
NM
IJ-a
-CN
RC
CR
M-a
-AN
RC
CR
M-a
-BN
RC
CR
M-a
-CV
NIIM
-a-A
VN
IIM-a
-BV
NIIM
-a-C
CS
IR-N
ML-
S-1
CS
IR-N
ML-
S-2
CS
IR-N
ML-
S-3
CS
IR-N
ML-
S-4
LGC
-S-1
LGC
-S-4
VN
IIM-S
-1V
NIIM
-S-2
VN
IIM-S
-3V
NIIM
-S-4
INT
I-S
-1IN
TI-
S-2
INM
ET
RO
-S-1
INM
ET
RO
-S-2
CM
QF
C-S
-1C
MQ
FC
-S-2
CE
NA
M-S
-1C
EN
AM
-S-2
CS
IR-N
ML-
S-1
CS
IR-N
ML-
S-2
INT
I-S
-1IN
TI-
S-2
NIS
-S-1
NIS
-S-2
E.X
H.M
-S-1
E.X
H.M
-S-2
KE
BS
-S-1
KE
BS
-S-2
VM
T/F
TM
C-S
-1V
MT
/FT
MC
-S-2
NM
L-S
IRIM
-S-1
NM
L-S
IRIM
-S-2
INM
-S-1
INM
-S-2
DM
DM
-S-1
DM
DM
-S-2
INR
AP
-S-1
INR
AP
-S-2
VM
I-S
-1V
MI-
S-2P
erce
nta
ge
dif
fere
nce
fro
m K
CR
V/
assi
gn
ed r
efer
ence
val
ue
AFRIMETS.QM-K27CCQM-K27.2CCQM-K27.1CCQM-K27a
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 30 of 40
REFERENCES
[1] http://kcdb.bipm.org/AppendixB/appbresults/ccqm-k27.a/ccqm-k27.a_final_report.pdf
[2] http://kcdb.bipm.org/AppendixB/appbresults/ccqm-k27.b/ccqm-k27.b_final_report.pdf
[3] http://kcdb.bipm.org/AppendixB/appbresults/ccqm-k27.1/ccqm-k27.1_final_report.pdf
[4] CCQM K27.2 Draft B report in progress
[5] CCQM K79 Draft B report in progress
[6] http://www.bipm.org/utils/common/CIPM_MRA/CIPM_MRA-D-05.pdf
[7] http://kcdb.bipm.org/appendixB/appbresults/ccqm-k27.1/ccqm-k27.1.pdf
COORDINATOR
Dr Maria Fernandes-Whaley National Metrology Institute of South Africa (NMISA) CSIR, Building 6 Meiring Naudé Road Brummeria, PRETORIA, South Africa, 0001 Tel: +27 12 841 2105 Fax: +27 86 509 5996 e-mail: [email protected] PROJECT REFERENCE
AFRIMETS.QM-K27 COMPLETION DATE
Estimated: October 2011
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 31 of 40
APPENDIX 1 – DEGREES OF EQUIVALENCE
AFRIMETS has decided to present the information in this report in a format as close as
possible to that in the previous CCQM K27 key comparison studies for ethanol, where
participant results are compared by % difference to the KCRV or in this case to the assigned
reference value. For consistency the degrees of equivalence are presented as in the
summary results table for CCQM-K27.1.[7]Degrees of equivalence are often used to assess
laboratory bias. In general, results in which the uncertainty bars at least touch the zero-bias
line are considered acceptable.
The degrees of equivalence (Tables A1 and A2) with the assigned reference value were
calculated for each participant from Equation A1.
[Eqn. A1]
where xi is the mean participant result and X is the assigned reference value in mg/g
A graphical representation of the degrees of equivalence for Level 1 is given in Figure A1
and for Level 2 in Figure A2. The expanded uncertainties (Ui) are those reported by the
participating laboratories.
Table A3 presents the relative degrees of equivalence, Di rel, for CCQM-K27a, CCQM-K27.1,
CQM-K27.2 and AFRIMETS.QM-K27 together with the associated relative expanded
uncertainty, Ui rel. The graphical representation is presented in Figure A3. The relative terms
are defined in equations A2 and A3:
% [Eqn. A2]
% [Eqn. A3]
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 32 of 40
Table A1: Degrees of equivalence for Level 1 and associated U95%(Di)
Institute Mean Standard
uncertainty, ui (mg/g)
Expanded uncertainty, Ui
(mg/g)
Di (mg/g)
INTI 0,3293 0,0026 0,0052 0,0044
NIS 0,3320 0,003 0,006 0,0071
E.XH.M 0,3303 0,0020 0,0040 0,0054
KEBS 0,3016 0,0008 0,0016 -0,0233
VMT/FTMC 0,306 0,003 0,006 -0,0189
NML-SIRIM 0,31 0,005 0,01 -0,0149
INM 0,245 0,0085 0,017 -0,0799
DMDM 0,3635 0,0028 0,0057 0,0386
INRAP 0,321 0,008 0,016 -0,0039
VMI 0,323 0,002 0,004 -0,0019
NMISA 0,3273 0,0012 0,0023 0,0024
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 33 of 40
Table A2: Degrees of equivalence for Level 2 and associated U95%(Di)
Institute Mean Standard
uncertainty, ui (mg/g)
Expanded uncertainty, Ui
(mg/g)
Di (mg/g)
INTI 4,662 0,036 0,072 -0,0029
NIS 4,670 0,017 0,034 0,0051
E.XH.M 4,772 0,0266 0,0533 0,1071
KEBS 4,7526 0,0119 0,0239 0,0877
VMT/FTMC 4,49 0,04 0,08 -0,1749
NML-SIRIM 4,69 0,03 0,06 0,0251
INM 4,59 0,07 0,14 -0,0749
DMDM 5,00991 0,022 0,045 0,3450
INRAP 4,22 0,013 0,026 -0,4449
VMI 4,664 0,021 0,045 -0,0009
NMISA 4,6749 0,0180 0,0360 0,0100
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 34 of 40
Figure A1: Degrees of equivalence for Level 1. The expanded uncertainties are those reported
by the participating laboratories.
Figure A2: Degrees of equivalence for Level 2. The expanded uncertainties are those reported by the participating laboratories.
-0.10
-0.05
0.00
0.05
INM
KE
BS
VM
T/F
TM
C
NM
L-S
IRIM
INR
AP
VM
I
NM
ISA
INT
I
E.X
H.M NIS
DM
DM
Di (
mg
/ g)
AFRIMETS.QM-K27Aqueous ethanol: Level 1
-0.50
-0.30
-0.10
0.10
0.30
0.50
INR
AP
VM
T/F
TM
C
INM
INT
I
VM
I
NIS
NM
ISA
NM
L-S
IRIM
KE
BS
E.X
H.M
DM
DM
Di(m
g/ g
)
AFRIMETS.QM-K27Aqueous ethanol: Level 2
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 35 of 40
Table A3: Relative degrees of equivalence, Di rel, for the CCQM-K27 series of ethanol comparisons and AFRIMETS.QM-K27 and the associated relative expanded uncertainty, Ui rel.
Di rel Ui rel Di rel Ui rel Di rel Ui rel
/ % / % / % / % / % / %BAM K27.a A -0.14 0.61 CSIR-NML K27.1 1 0.72 2.05 INTI 1 1.35 1.60
K27.a B -0.02 0.64 K27.1 2 0.52 1.1 2 -0.06 1.54K27.b C -0.15 0.63 K27.1 3 0.37 1.11 NIS 1 2.19 1.85
KRISS K27.a A -0.34 1.25 K27.1 4 0.17 1.16 2 0.11 0.73K27.a B -0.29 1.14 LGC K27.1 1 -0.11 0.22 E.XH.M 1 1.66 1.23K27.b C - - K27.1 2 - - 2 2.30 1.14
LGC K27.a A -0.07 0.1 K27.1 3 - - KEBS 1 -7.17 0.49K27.a B -0.07 0.17 K27.1 4 -0.57 0.44 2 1.88 0.51K27.b C 0.15 0.18 VNIIM K27.1 1 0.21 0.62 VMT/FTMC 1 -5.82 1.85
LNE K27.a A 2.33 1.7 K27.1 2 0.3 0.59 2 -3.75 1.71K27.a B 0.63 1.66 K27.1 3 -0.13 0.67 NML-SIRIM 1 -4.59 3.08K27.b C -0.2 1.85 K27.1 4 -0.38 0.8 2 0.54 1.29
NARL K27.a A 0.06 0.42 CENAM K27.2 1 -1.28 1.64 INM 1 -24.59 5.23K27.a B -0.02 0.52 K27.2 2 -1.26 2.20 2 -1.61 3.00K27.b C 0.12 0.81 CSIR-NML K27.2 1 -0.73 0.55 DMDM 1 11.88 1.75
NIST K27.a A 1.74 1.06 K27.2 2 0.31 0.31 2 7.40 0.96K27.a B -0.17 0.99 K27.2 1 1.46 1.09 INRAP 1 -1.20 4.92K27.b C 0.06 0.97 K27.2 2 1.26 0.94 2 -9.54 0.56
NMIJ K27.a A -0.14 0.37 INMETRO K27.2 1 -0.36 0.36 VMI 1 -0.58 1.23K27.a B -0.3 0.61 K27.2 2 0.00 0.31 2 -0.02 0.96K27.b C 0.46 0.38 INTI K27.2 1 -13.69 0.91 1 0.74 0.71
NRCCRM K27.a A 0.1 0.45 K27.2 2 -14.15 0.94 2 0.21 0.77K27.a B -0.14 0.5K27.b C -0.33 0.47 Where Di rel % = Di x 100/ X ref value
VNIIM K27.a A -2.99 1.03 and Ui rel % = Ui x 100/ X ref valueK27.a B -0.83 0.83 Data obtained from CCQM K27.1 summary table [7]K27.b C -1.02 1.49 Data calculated from CCQM K27.2 Draft A report [4]
FUND.CHILE
NMISA (CSIR-NML)
AF
RIM
ET
S.Q
M-K
27
Lab iKey
ComparisonSampleLab i
Key Comparison
Sample Lab iKey
ComparisonSample
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 36 of 40
Figure A3: Percentage degrees of equivalence of the results from the KCRV or assigned reference value for CCQM-K27, CCQM-K27.1, CCQM-K27.2 and AFRIMETS.QM-K27. The results are plotted relative to the zero-bias line and the blue lines represent the ± 1% limits recommended in previous studies, except for Level 4 of the CCQM-K27.1 study which is 0,295%.
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-10
-5
0
5
10
15B
AM
-a-A
BA
M-a
-BB
AM
-a-C
KR
ISS
-a-A
KR
ISS
-a-B
LGC
-a-A
LGC
-a-B
LGC
-a-C
LNE
-a-A
LNE
-a-B
LNE
-a-C
NA
RL
-a-A
NA
RL
-a-B
NA
RL
-a-C
NIS
T-a
-AN
IST
-a-B
NIS
T-a
-CN
MIJ
-a-A
NM
IJ-a
-BN
MIJ
-a-C
NR
CC
RM
-a-A
NR
CC
RM
-a-B
NR
CC
RM
-a-C
VN
IIM-a
-AV
NIIM
-a-B
VN
IIM-a
-C
CS
IR-N
ML-
S-1
CS
IR-N
ML-
S-2
CS
IR-N
ML-
S-3
CS
IR-N
ML-
S-4
LGC
-S-1
LGC
-S-4
VN
IIM-S
-1V
NIIM
-S-2
VN
IIM-S
-3V
NIIM
-S-4
INT
I-S
-1IN
TI-
S-2
INM
ET
RO
-S-1
INM
ET
RO
-S-2
CM
QF
C-S
-1C
MQ
FC
-S-2
CE
NA
M-S
-1C
EN
AM
-S-2
CS
IR-N
ML-
S-1
CS
IR-N
ML-
S-2
INT
I-S
-1IN
TI-
S-2
NIS
-S-1
NIS
-S-2
E.X
H.M
-S-1
E.X
H.M
-S-2
KE
BS
-S-1
KE
BS
-S-2
VM
T/F
TM
C-S
-1V
MT
/FT
MC
-S-2
NM
L-S
IRIM
-S-1
NM
L-S
IRIM
-S-2
INM
-S-1
INM
-S-2
DM
DM
-S-1
DM
DM
-S-2
INR
AP
-S-1
INR
AP
-S-2
VM
I-S
-1V
MI-
S-2
NM
ISA
-S-1
NM
ISA
-S-2
Dire
l/ %
AFRIMETS.QM-K27CCQM-K27.2CCQM-K27.1CCQM-K27a
Black: Sample A ~ 0.8 mg/gGreen: Sample B ~ 120 mg/g
Black: Level 1~ 0.2 mg/gOrange: Level 2~ 1 mg/gPurple: Level 3~ 3 mg/gBlue: Level 4 ~ 60 mg/g
Orange: Level 1~ 0.5 mg/gBlue: Level 2 ~ 3 mg/g
Pink: Level 1~ 0.3 mg/gBlue: Level 2 ~ 5 mg/g
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 37 of 40
APPENDIX 2 - STANDARD DEVIATION FOR PROFICIENCY ASSESSMENT
The AFRIMETS.QM-K27 study was conducted for metrology institutes and linked to the
CCQM-K27 series of studies with the intention of assisting these institutes in submitting
CMC claims. As such, above-average accuracy and precision are expected. The following
approaches are used in proficiency testing schemes for routine laboratories. These
approaches serve to illustrate that some of the results are acceptable at routine laboratory
level, but would require further investigation and improvement to be accepted at CCQM
level. No CMC claims can be made on these approaches.
The ISO document, ISO 13528:2005: Statistical methods for use in proficiency testing by
interlaboratory comparisons, gives several options for estimating the standard deviation for
proficiency assessment, viz:
1. Prescribed method, e.g., legislation
2. By perception, i.e., the level of competence that it is desirable to achieve
3. From a general model, e.g., the Horwitz curve
4. From the results of a precision experiment: a standard method is used
5. From data obtained in a round of a proficiency testing scheme, i.e., from participant
results.
This standard deviation is then used to determine whether the results are acceptable or not.
Option 1 and 4 above are clearly not applicable to AFRIMETS.QM-K27.
Option 2 is applied in the main report. That is, from previous studies a spread (CV) of 0,85%
relative and accuracy of not more than ± 1% is desirable for the range of concentrations,
bearing in mind that the results are generated by metrology institutes. Also refer to Figures
A4 and A5.
The Horwitz model in Option 3 may be applicable for routine laboratories where no data
exists to provide a starting point. It is certainly not applicable to the results of expert
laboratories such as metrology institutes. The Horwitz 2s (U) limits for Level 1 are ± 13,4%
relative (dotted red lines in Figure A6) and ± 9% relative for Level 2 (dotted red lines in
Figure A7).
For Option 5, two approaches are possible; from the results of a single study or from the
results of a long-term study. In Figures A6 and A7, the expanded uncertainty for a long-term
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 38 of 40
study coordinated by NMISA is given (aqueous ethanol by headspace gas chromatography-
FID).
i) By perception, i.e., the level of competence that it is desirable to achieve
In CCQM-K27a, the expected uncertainty was calculated from Equation A4, using the
participant data [1].
.
√ [Eqn A4]
Where U is the expanded uncertainty, the t value was used as the coverage factor, s is
the standard deviation and n is the number of participants.
For AFRIMETS.QM-K27 this yields ± 6,7% relative U (2s) for Level 1 (dotted red lines in Figure A4) and ± 3,1% relative U (2s) for Level 2 (dotted red lines in Figure A5), when all the results are included.
Figure A4: Comparison of CCQM-K27a and participant uncertainties, Level 1. Dotted blue lines: ±1% relative expanded uncertainty (CCQM-K27a). Dotted red lines: 2s limits calculated from participant results (± 6,7% relative). The solid red line is the assigned reference value (0,3249 mg/g).
0.22
0.26
0.30
0.34
0.38
INM
KE
BS
VM
T/F
TM
C
NM
L-S
IRIM
INR
AP
VM
I
NM
ISA
INT
I
E.X
H.M NIS
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
Assigned reference value: 0,3249 ± 0,0021 mg/g
AFRIMETS.QM-K27Aqueous ethanol: Level 1
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 39 of 40
Figure A5: Comparison of CCQM-K27a and participant uncertainties, Level 2. Dotted blue lines: ±1% relative expanded uncertainty (CCQM-K27a). Dotted red lines: 2s limits calculated from participant results (± 3,1% relative). The solid red line is the assigned reference value (4,6649 mg/g).
ii) From a general model (Horwitz curve) and from data obtained in a proficiency testing
scheme (participant results)
The NMISA has coordinated a proficiency testing scheme for routine laboratories for a
number of years. All the participants use headspace gas-chromatography with flame
ionisation detection (HS-GC-FID). From this data, a model can be generated which gives
the recommended 2s (U) limit for Level 1 as ±10,6% relative (dotted blue lines in Figure
A6) and for Level 2 ±5,5% relative (dotted blue lines in Figure A7). Since the
AFRIMETS.QM-K27 study includes results obtained by other techniques, this model may
not be applicable to the results. However, when the same model is applied to the results
of CCQM-K27a, CCQM-K27.1 and CCQM-K27.2 (where different analytical techniques
were used), the mean 2s limits are ± 2,2% relative for the concentration range 0,1 to 5
mg/g. This indicates that the techniques used did not influence the precision of the
results.
4.15
4.35
4.55
4.75
4.95IN
RA
P
VM
T/F
TM
C
INM
INT
I
VM
I
NIS
NM
ISA
NM
L-S
IRIM
KE
BS
E.X
H.M
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
Assigned reference value: 4,6649 ± 0,0152 mg/g
AFRIMETS.QM-K27Aqueous ethanol: Level 2
AFRIMETS.QM-K27 Determination of ethanol in aqueous media
Page 40 of 40
Figure A6: Comparison of Horwitz and NMISA study uncertainties, Level 1. Blue dotted lines: ± 10,6% expanded uncertainty, U (from NMISA HS-GC-FID study), red dotted lines: ± 13,4% relative U (Horwitz). The solid red line is the assigned reference value (0,3249 mg/g).
Figure A7: Comparison of Horwitz and NMISA study uncertainties, Level 2. Blue dotted lines: ± 5,5% expanded uncertainty, U (from NMISA HS-GC-FID study), red dotted lines: ± 9% relative U (Horwitz). The solid red line is the assigned reference value (4,6649 mg/g).
0.22
0.26
0.30
0.34
0.38
INM
KE
BS
VM
T/F
TM
C
NM
L-S
IRIM
INR
AP
VM
I
NM
ISA
INT
I
E.X
H.M NIS
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
Assigned reference value: 0,3249 ± 0,0021 mg/g
AFRIMETS.QM-K27Aqueous ethanol: Level 1
4.15
4.35
4.55
4.75
4.95
5.15
INR
AP
VM
T/F
TM
C
INM
INT
I
VM
I
NIS
NM
ISA
NM
L-S
IRIM
KE
BS
E.X
H.M
DM
DM
Co
nce
ntr
atio
n (
mg
/g)
Assigned reference value: 4,6649 ± 0,0152 mg/g
AFRIMETS.QM-K27Aqueous ethanol: Level 2