Power transform

In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation technique used to stabilize variance, make the data more normal distribution-like, improve the validity of measures of association (such as the Pearson correlation between variables), and for other data stabilization procedures.

Power transforms are used in multiple fields, including multi-resolution and wavelet analysis,[1] statistical data analysis, medical research, modeling of physical processes,[2] geochemical data analysis,[3] epidemiology[4] and many other clinical, environmental and social research areas.

  1. ^ Gao, Peisheng; Wu, Weilin (2006). "Power Quality Disturbances Classification using Wavelet and Support Vector Machines". Sixth International Conference on Intelligent Systems Design and Applications. ISDA '06. Vol. 1. Washington, DC, USA: IEEE Computer Society. pp. 201–206. doi:10.1109/ISDA.2006.217. ISBN 9780769525280. S2CID 2444503.
  2. ^ Gluzman, S.; Yukalov, V. I. (2006-01-01). "Self-similar power transforms in extrapolation problems". Journal of Mathematical Chemistry. 39 (1): 47–56. arXiv:cond-mat/0606104. Bibcode:2006cond.mat..6104G. doi:10.1007/s10910-005-9003-7. ISSN 1572-8897. S2CID 118965098.
  3. ^ Howarth, R. J.; Earle, S. A. M. (1979-02-01). "Application of a generalized power transformation to geochemical data". Journal of the International Association for Mathematical Geology. 11 (1): 45–62. doi:10.1007/BF01043245. ISSN 1573-8868. S2CID 121582755.
  4. ^ Peters, J. L.; Rushton, L.; Sutton, A. J.; Jones, D. R.; Abrams, K. R.; Mugglestone, M. A. (2005). "Bayesian methods for the cross-design synthesis of epidemiological and toxicological evidence". Journal of the Royal Statistical Society, Series C. 54: 159–172. doi:10.1111/j.1467-9876.2005.00476.x. S2CID 121909404.