CCM.F-K4.a, CCM.F-K4.b and APMP.M.F-K4.b Key comparisons CCM.F-K4.a, and CCM.F-K4.b MEASURAND : Force
NOMINAL VALUES : 2 MN and 4 MN Dates of measurements : 2004 - 2005
Measurements in key comparisons CCM.F-K4.a and CCM.F-K4.b were carried out according to the protocol explained starting page 3 of the Final Report.
Transducers 1 and 2, of 5 MN capacity and 4 MN capacity, respectively, were used for measurements in CCM.F-K4.a, and Transducers 3 and 4, of 2 MN capacity and 2.22 MN capacity, respectively, for measurements in CCM.F-K4.b.
Detailed results of measurements obtained with the four transducers are reported in Tables 2, 3 and 4 of the Final Report.
Note that PTB is involved twice: as PTB(1) corresponding to their 16.5 MN-K-NME machine and PTB (2) corresponding to their 2 MN-K-NME machine.
The measurements are then analysed and concatenated in order to provide one set of measurements for 2 MN forces involving all participants, and one set of measurements for 4 MN forces involving all participants but GUM and PTB (2).
Key comparison APMP.M.F-K4.b
MEASURAND : Force NOMINAL VALUE : 2 MN
Dates of measurements : 2005 - 2007
Measurements in key comparison APMP.M.F-K4.b were carried out according to the scheme explained in section 2 of the Final Report. Transducers 1 and 2 of 2 MN capacity were used for the measurements in APMP.M.F-K4.b.
Detailed results of measurements obtained with the two transducers are reported in Table 2 of the Final Report.
The measurements are then analysed and concatenated in order to provide one set of measurements for 2 MN force for each of the participants.
This set of results is given in Table 3 of the Final Report, and is expressed as the relative overall deviation of the participants from the pilot laboratory NMIJ, as explained in section 3.5 of the Final Report.
CCM.F-K4.a, CCM.F-K4.b and APMP.M.F-K4.b Key comparisons CCM.F-K4.a, and CCM.F-K4.b MEASURAND : Force
NOMINAL VALUES : 2 MN and 4 MN
For each nominal value of the force, the degree of equivalence of each laboratory i with respect to the key comparison reference value is given by a pair of terms, both expressed in 10-6: Di and Ui, its expanded uncertainty (k = 2).
For each nominal value of the force, the degree of equivalence between two laboratories is given by a pair of terms both expressed in 10-6: Dij = Di - Dj and Uij , its expanded uncertainty (k = 2).
Linking APMP.M.F-K4.b to CCM.F-K4.b MEASURAND : Force
NOMINAL VALUE : 2 MN
Two analysis approaches for calculating key comparison reference values have been used, one employing a classical consensus mean analysis (see on page 19 of the Final Report) and the other based on weighted mean calculations (see on page 31 of the Final Report). Reasonable correlation in the conclusions for individual transducers is seen between the two approaches.
The weighted mean approach is extended to yield a key comparison reference value for each of the two force values from the combined data from all of the associated transducers.
Key comparisons CCM.F-K4.a, CCM.F-K4.b and APMP.M.F-K4.b MEASURAND : Force NOMINAL VALUE : 2 MN Degrees of equivalence Lab i Lab i Di Ui Di Ui NIST 1 20 KRISS 0.2 1.5 LNE 32 500 NMIA 0.8 4.3 NMIJ -104 92 SCL 3.7 5.6 KRISS -28 202 CMS 1.6 5.2 PTB (1) -34 74 NMC, A*STAR 0.5 1.9 NIM 25 72 NIST 0.4 1.0 NPL 271 202 NMIJ -0.6 1.2 GUM -590 500 PTB (2) 4 30
In green: participants in APMP.M.F-K4.b / (10-4)
Key comparisons CCM.F-K4.a and CCM.F-K4.b MEASURAND : Force NOMINAL VALUE : 2 MN Matrix of equivalence Lab j Lab i Di Ui Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij NIST 1 20 -31 500 105 92 30 202 35 74 -24 72 -270 204 592 500 -2 30 LNE 32 500 31 500 136 508 61 540 66 506 7 506 -239 540 623 708 28 502 NMIJ -104 92 -105 92 -136 508 -76 220 -71 116 -130 114 -376 222 486 508 -108 94 KRISS -28 202 -30 202 -61 540 76 220 5 214 -54 214 -300 286 562 540 -32 204 PTB (1) -34 74 -35 74 -66 506 71 116 -5 214 -59 102 -305 216 557 506 -37 78 NIM 25 72 24 72 -7 506 130 114 54 214 59 102 -246 214 616 506 22 76 NPL 271 202 270 204 239 540 376 222 300 286 305 216 246 214 862 540 268 204 GUM -590 500 -592 500 -623 708 -486 508 -562 540 -557 506 -616 506 -862 540 -594 500 PTB (2) 4 30 2 30 -28 502 108 94 32 204 37 78 -22 76 -268 204 594 500 PTB (2) / (10-6) GUM / (10-6) PTB (1) / (10-6) KRISS / (10-6) / (10-6)
NIST LNE NMIJ
/ (10-6) / (10-6) / (10-6)
NPL / (10-6) / (10-6)
Key comparison CCM.F-K4.a MEASURAND : Force NOMINAL VALUE : 4 MN Matrix of equivalence Lab j Lab i Di Ui Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij Dij Uij NIST 6 26 -36 500 155 92 5 202 25 76 -17 72 -146 502 LNE 43 500 36 500 191 508 41 540 62 506 19 506 -110 708 NMIJ -149 92 -155 92 -191 508 -150 222 -130 116 -172 114 -301 508 KRISS 1 202 -5 202 -41 540 150 222 20 214 -22 214 -151 540 PTB (1) -19 76 -25 76 -62 506 130 116 -20 214 -42 102 -172 506 NIM 23 72 17 72 -19 506 172 114 22 214 42 102 -129 506 NPL 153 502 146 502 110 708 301 508 151 540 172 506 129 506 NIST PTB (1) NIM NPL / (10-6) / (10-6) / (10-6) / (10-6)
LNE NMIJ KRISS
/ (10-6) / (10-6) / (10-6) / (10-6)
CCM.F-K4.a, CCM.F-K4.b, and APMP.M.F-K4.b: Force 2 MN
Degrees of equivalence, D
iand expanded uncertainty U
i(k = 2)
-800 -600 -400 -200 0 200 400 600 800 1 ) 2 )
D
i/ (10
-6)
CCM.F-K4.a: Force 4 MN
Degrees of equivalence, D
iand expanded uncertainty U
i(k = 2)
-600 -400 -200 0 200 400 600 1 ) NIM
