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
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1 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 NOMINAL VALUES : 2 MN and 4 MN Dates of measurements : 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). The BIPM key comparison database, May /8
2 Key comparison APMP.M.F-K4.b NOMINAL VALUE : 2 MN Dates of measurements : 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. The BIPM key comparison database, May /8
3 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 NOMINAL VALUES : 2 MN and 4 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. 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 : D i and U i, 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 : D ij = D i - D j and U ij, its expanded uncertainty (k = 2). Linking APMP.M.F-K4.b to CCM.F-K4.b NOMINAL VALUE : 2 MN The link is made using NMIJ, NIST and KRISS results in both comparisons (see Section 3.6 of the APMP.M.F-K4.b Final Report). The pair-wise degrees of equivalence between participants in APMP.M.F-K4.b are given in Table 7 of the APMP.M.F-K4.b Final Report. The BIPM key comparison database, May /8
4 Key comparisons CCM.F-K4.a, CCM.F-K4.b and APMP.M.F-K4.b NOMINAL VALUE : 2 MN Degrees of equivalence Lab i Lab i D i U i D i U i / (10-6 ) / (10-4 ) NIST 1 20 KRISS LNE NMIA NMIJ SCL KRISS CMS PTB (1) NMC, A*STAR NIM NIST NPL NMIJ GUM PTB (2) 4 30 In green : participants in APMP.M.F-K4.b The BIPM key comparison database, May /8
5 Key comparisons CCM.F-K4.a and CCM.F-K4.b NOMINAL VALUE : 2 MN Matrix of equivalence Lab j Lab i NIST LNE NMIJ KRISS PTB (1) NIM NPL GUM PTB (2) D i U i D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) NIST LNE NMIJ KRISS PTB (1) NIM NPL GUM PTB (2) The BIPM key comparison database, May /8
6 Key comparison CCM.F-K4.a NOMINAL VALUE : 4 MN Matrix of equivalence Lab j Lab i NIST LNE NMIJ KRISS PTB (1) NIM NPL D i U i D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) / (10-6 ) NIST LNE NMIJ KRISS PTB (1) NIM NPL The BIPM key comparison database, May /8
7 800 CCM.F-K4.a, CCM.F-K4.b, and APMP.M.F-K4.b: Force 2 MN Degrees of equivalence, D i and expanded uncertainty U i (k = 2) NIST LNE NMIJ KRISS PTB (1) D i / (10-6 ) NIM NPL GUM PTB (2) KRISS NMIA SCL CMS NMC, A*STAR NIST NMIJ PTB (1) : 16.5 MN-K-NME machine PTB (2) : 2 MN-K-NME machine Red diamonds : participants in CCM.F-K4.a and CCM.F-K4.b Green triangles : participants in APMP.M.F-K4.b The BIPM key comparison database, May /8
8 600 CCM.F-K4.a: Force 4 MN Degrees of equivalence, D i and expanded uncertainty U i (k = 2) D i / (10-6 ) NIST LNE NMIJ KRISS PTB (1) NIM NPL PTB (1) : 16.5 MN-K-NME machine The BIPM key comparison database, May /8
NIST, Jan 2009 CENAM, Mar 2009 NPLI, May 2009 NIM, Jun 2009 NMIJ, Oct 2009 LNE, Feb 2010 PTB, Mar 2010 p ' / MPa / mm 2 u i / x i
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