MULTIPURPOSE MEASUREMENT MODELS FOR ADJUSTMENT BY THE LEAST-SQUARES METHOD

2021;
: pp.29-37
1
State Enterprise “Ukrmetrteststandard”
2
Укрметртестстандарт
3
State Enterprise “Ukrmetrteststandard”

The development of multipurpose measurement models is the precondition for software development for simultaneous adjustment of the large scope and complicated combinations of the measurement results by the least-squares method. Multipurpose measurement models for software can be a helpful tool for processing the final measurement results provided by different measurement methods applying the mentioned software; processing the measurement results of measurement standards comparisons, interlaboratory comparison, and calibration procedures; estimating the additive and multiplicative systematic components of measurement errors and their uncertainty; processing complicated combinations by binding or linking up of the interlaboratory comparison and calibration results in the time; simultaneous processing of the measurement results obtained by various methods e.g. by the method of direct measurements and comparisons; fast-changing the multipurpose measurement models from linear to non-linear type. Processing of the results by software based on the multipurpose measurement model algorithm can help to established a comprehensive measurement traceability network by pooling the single traceability chains.

[1] JCGM 200:2012 International vocabulary of metrology – Basic and general concepts and associated terms (VIM)

[2] M. G. Cox, 2002, The evaluation of key comparison data. Metrologia. V. 39, p. 589-595.

https://doi.org/10.1088/0026-1394/39/6/10

[3] Nielsen, L. 2003 Identification and handling of discrepant measurements in key comparisons. Measurement Techniques. 46(5), 513–522.

https://doi.org/10.1023/A:1025373701977

[4] D. R. White 2004 On the analysis of measurement comparisons. Metrologia. V. 41, IOPscience.

https://doi.org/10.1088/0026-1394/41/3/003

[5] A. Koo, J. F. Clare 2012 On the equivalence of generalized least-squares approaches to the evaluation of measurement comparisons. Metrologia. V. 49, IOPscience.

https://doi.org/10.1088/0026-1394/49/3/340

[6] C. Elster, B. Toman 2013 Analysis of key comparison data: a critical assessment of elements of current practice with suggested improvement. Metrologia. V. 50, IOPscience.

https://doi.org/10.1088/0026-1394/50/5/549

[7] Iu. Kuzmenko, O. Samoilenko 2018 Processing by least squares method of the measurement results for key, regional and supplementary comparison of the measurement standards. Metrology and Instruments. № 2, pp. 3-13.

[8] JCGM 100:2008 Evaluation of measurement data – Guide to the expression of uncertainty in measurement.

https://doi.org/10.33955/2307-2180(2)2018.3-13

[9] ISO 17123-4:2012. Optics and optical instruments – Field procedures for testing geodetic and surveying instruments. Part 4: Electro-optical distance meter (EDM measurements to reflectors).

[10] O. Samoilenko, O. Adamenko 2019 Length measurement results processing for adjustment or calibration of distance meters and tachometers on the infield comparator, Sc. & Techn. Anthology ‘Geodesy, cartography and aerophotography’, Pub. 90, pp. 15-28.

https://doi.org/10.23939/istcgcap2019.90.015

[11] R. Schwartz, M. Borys, F. Scholz 2007 Guide to Mass Determination with High Accuracy PTB-MA-80, Physikalisch-Technische Bundesanstalt Braunschweig und Berlin Presse.

[12] O. Samoilenko, O. Adamenko, V. Kalinichenko O. 2018 Methodic and results of the moving laser interferometers direct adjustments Renishaw XL-80. Metrology and Instruments. № 4.

https://doi.org/10.33955/2307-2180(4)2018.15-21

[13] JCGM 102:2008 Evaluation of measurement data – Supplement 2 to the “Guide to the expression of uncertainty in measurement” Extension to any number of output quantities

[14] JCGM 103 CD 2018-10-04 Evaluation of measurement data – Supplement 2 to the “Guide to the expression of uncertainty in measurement” Developing and using measurement models

[15] ILAC P 10:2002. ILAC Policy on traceability of measurement results. International Laboratory Accreditation Cooperation

[16] ISO 13528:2005 Statistical methods for use in proficiency testing by interlaboratory comparisons

[17] ISO/IEC 17043:2010, IDT. Conformity assessment – General requirements for proficiency testing, https://www.iso. org/standard/29366.html

[18] ISO/IEC 17025:2006 General requirements for the competence of testing and calibration laboratories, IDT

[19] C. Lawson, R. Henson 1986 Solving Least Squares Problems/Trans. from English. Science. Head Editor phys.- mat. lit. p.232