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A Note on the Use of Principal Components in Regression
Abstract
The use of principal components in regression has received a lot of attention in the literature in the past few years, and the topic is now beginning to appear in textbooks. Along with the use of principal component regression there appears to have been a growth in the misconception that the principal components with small eigenvalues will very rarely be of any use in regression. The purpose of this note is to demonstrate that these components can be as important as those with large variance. This is illustrated with four examples, three of which have already appeared in the literature.
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Citations
Cited by
Data Mining and Analytics in the Process Industry: The Role of Machine Learning
Ge, Z., Song, Z., Ding, S. X., & Huang, B. (2017) · IEEE Access · doi:10.1109/access.2017.2756872 · Cited by 922
“variable on the explanatory variables directly, the principal components of the explanatory variables which are extracted by the PCA method are used as regressors [129].”
MethodKernel partial least squares regression in reproducing kernel hilbert space
Rosipal, R., & Trejo, L. J. (2002) · doi:10.5555/944790.944806 · Cited by 873
Regression, Prediction and Shrinkage
Copas, J. B. (1983) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1983.tb01258.x · Cited by 612
Higgins-Chen, A. T., Thrush, K. L., Wang, Y., Minteer, C. J., Kuo, P.-L., Wang, M., Niimi, P., Sturm, G., Lin, J., Moore, A. Z., et al. (2022) · Nature Aging · doi:10.1038/s43587-022-00248-2 · Cited by 502
Digital medicine and the curse of dimensionality
Berisha, V., Krantsevich, C., Hahn, P. R., Hahn, S., Dasarathy, G., Turaga, P., & Liss, J. (2021) · npj Digital Medicine · doi:10.1038/s41746-021-00521-5 · Cited by 344
Metadata
- Authors
- Jolliffe, I. T.
- Venue
- Applied Statistics
- Publisher
- JSTOR
- Published
- 1982
- Volume
- 31
- Issue
- 3
- Pages
- 300
- ISSN
- 0035-9254 (ISSN-L)
- OpenAlex
- W2740586183
- Cited by
- 829
- References
- 0
- FWCI
- 5.21
- Type
- journal article
- Language
- en
- Open access
- closed
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