Advertisement

One of the Possible Ways to Find Partial Dependencies in Multidimensional Data

  • Libor Žák
  • David Vališ
  • Lucie Žáková
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 837)

Abstract

The article deals with one of the possible ways of determining the impact of only one (or selected group) input variable on the output one. When measuring in a real process, the output variable is affected by multiple input variables. The linear dependence of the output variable on the input ones can be determined by the correlation coefficient (multiple correlation coefficient). The influence of only one input variable (or group) can be expressed using the partial correlation coefficient, which is often different from the correlation coefficient. The aim of the paper is to find a way to modify the measured data to match the correlation coefficient of the modified data to the partial correlation coefficient for the original data. This is illustrated by the amount of engine oil soot in the number of hours of operation and the number of days from oil change.

Keywords

Partial regression Regression analysis Field data 

Notes

Acknowledgements

Outputs of this project LO1202 were created with financial support from the Ministry of Education, Youth and Sports under the “National Sustainability Programme I”.

References

  1. 1.
    Žák, L., Vališ, D.: Comparison of Regression and Fuzzy Estimates on Field Oil Data, MENDEL 2015, pp. 83–89. Brno University of Technology, VUT Press, Brno (2015)Google Scholar
  2. 2.
    Vališ, D., Žák, L., Pokora, O.: Engine residual technical life estimation based on tribo data. Eksploatacja i niezawodnosc-Maint. Reliab. 2014(2), 203–210 (2014)Google Scholar
  3. 3.
    Vališ, D., Žák, L., Pokora, O.: Contribution to systém failure occurence prediction and to system remaining useful life estimation based on oil field data. J. Risk Reliab. 2014(1), 33–42 (2014)Google Scholar
  4. 4.
    Abrahamsen, E.B., Asche, F., Milazzo, M.F.: An evaluation of the effects on safety of using safety standards in major hazard industries. Saf. Sci. 59, 173–178 (2013)CrossRefGoogle Scholar
  5. 5.
    Woch, M., Kurdelski, M., Matyjewski, M.: Reliability at the checkpoints of an aircraft supporting structure. Eksploatacja i niezawodnosc-Maint. Reliab. 17(3), 457–462 (2015)CrossRefGoogle Scholar
  6. 6.
    Vališ, D., Žák, L., Vintr, Z., Hasilová, K.: Mathematical analysis of soot particles in oil used as system state indicator. In: IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2016. IEEE, Bali (2016). ISBN 978-1-5090-3664-6Google Scholar
  7. 7.
    Mouralová, K., Matoušek, R., Kovář, J., Mach, J., Klakurková, L., Bednář, J.: Analyzing the surface layer after WEDM depending on the parameters of a machine for the 16MnCr5 steel. Measur., J. Int. Measur. Confed. (IMEKO) 2016(94), 771–779 (2016). ISSN 0263-2241Google Scholar
  8. 8.
    Mouralová, K., Bednář, J., Kovář, J., Mach, J.: Evaluation of MRR after WEDM depending on the resulting surface. Manuf. Technol. 2, 396–401 (2016)Google Scholar
  9. 9.
    Woch, M.: Reliability analysis of the pzl-130 orlik tc-ii aircraft structural component under real operating conditions. Eksploatacja i niezawodnosc-Maint. Reliab. 19(2), 287–295 (2017)CrossRefGoogle Scholar
  10. 10.
    Hasilova, K.: Iterative method for bandwidth selection in kernel discriminant analysis. In: Talasova, J., Stoklasa, J., Talasek, T. (eds.) 32nd International Conference on Mathematical Methods in Economics (MME), Olomouc, Czech republic, Mathematical methods in economics (MME 2014), pp. 263–268 (2014)Google Scholar
  11. 11.
    Valis, D., Zak, L., Vintr, Z., Hasilova, K.: Mathematical analysis of soot particles in oil used as system state indicator. In: International Conference on Industrial Engineering and Engineering Management (IEEM), Bali, pp. 486–490 (2016)Google Scholar
  12. 12.
    Valis, D., Hasilova, K., Leuchter, J.: Modelling of influence of various operational conditions on li-ion battery capability. In: IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Bali, pp. 536–540 (2016)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of Technology in BrnoBrnoCzech Republic
  2. 2.University of Defence in BrnoBrnoCzech Republic
  3. 3.Jan Amos Komensky UniversityPragueCzech Republic

Personalised recommendations