Analysis of different glass compositions based on Spearman's correlation coefficient

Authors

  • Liwen Zhang
  • Huaikun Xiao
  • Yuxiang Su

DOI:

https://doi.org/10.54097/hset.v21i.3153

Keywords:

Ancient glass; Fisher linear discriminant analysis; Spearman correlation analysis.

Abstract

Glass is a valuable physical evidence of our early trade exchanges, and the analysis and identification of the composition of ancient glass products is of great significance to the study of our ancient history. However, ancient glass is highly susceptible to weathering by the burial environment, and during the weathering process, the internal elements of the glass and the environmental elements inevitably exchange in large quantities, resulting in changes in its composition ratio and color, thus affecting the correct judgment of its category. In this paper, Fisher's linear discriminant analysis is established to predict, analyze and identify the composition of ancient glass using mathematical and statistical methods. The study of this problem is important for the research and identification of ancient historical relics in China.

Downloads

Download data is not yet available.

References

J. P. Jia, X. Q. He, Y. Jin. Statistics (4th ed.) [M]. People's University of China Press, 2009.

Mao Shisong, Wang Jinglong, Pu Xiaolong, et al. Advanced mathematical statistics (2nd ed.) [M]. Beijing: Higher Education Press, 2006.

Sun JG, Liu J, Zhao LY. A study of clustering algorithms [J]. Journal of Software, 2008(1): 14.

Xie JG, Qiu ZD. Fisher's linear discriminant model for unbalanced data sets [J]. Journal of Beijing Jiaotong University (Natural Science Edition), 2006.

Han C-G. Mathematical modeling methods and their applications [M]. Higher Education Press, 2009.

Green L R, Hart F A. Colour and chemical composition in ancient glass: an examination of some Roman and Wealden glass by means of ultraviolet-visible-infra-red spectrometry and electron microprobe analysis[J]. Journal of Archaeological Science, 1987, 14(3): 271-282.

Artusi R, Verderio P, Marubini E. Bravais-Pearson and Spearman correlation coefficients: meaning, test of hypothesis and confidence interval[J]. The International journal of biological markers, 2002, 17(2): 148-151.

Noushath S, Kumar G H, Shivakumara P. Diagonal Fisher linear discriminant analysis for efficient face recognition[J]. Neurocomputing, 2006, 69(13-15): 1711-1716.

Mulcahy-Stanislawczyk J . Linear Discriminant Analysis and Fisher's Linear Discriminant.

J Fröhlich, and C. E. Pfister . "Semi-infinite Ising model. I. Thermodynamic functions and phase diagram in absence of magnetic field." Communications in Mathematical Physics (1965-1997) (1987).

Downloads

Published

04-12-2022

How to Cite

Zhang, L., Xiao, H., & Su, Y. (2022). Analysis of different glass compositions based on Spearman’s correlation coefficient. Highlights in Science, Engineering and Technology, 21, 164-172. https://doi.org/10.54097/hset.v21i.3153