Robust principal component analysis in water quality index development

Ali, Zalina Mohd, Ibrahim, Noor Akma, Mengersen, Kerrie, Shitan, Mahendran, & Juahir, Hafizan (2014) Robust principal component analysis in water quality index development. In Wan Zin, W., Che Dzul-Kifli, S., Razak, F., & Ishak, A. (Eds.) AIP Conference Proceedings 1602: 3rd International Conference on Mathematical Sciences, American Institute of Physics, Kuala Lumpur, Malaysia, pp. 1091-1097.

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Abstract

Some statistical procedures already available in literature are employed in developing the water quality index, WQI. The nature of complexity and interdependency that occur in physical and chemical processes of water could be easier explained if statistical approaches were applied to water quality indexing. The most popular statistical method used in developing WQI is the principal component analysis (PCA). In literature, the WQI development based on the classical PCA mostly used water quality data that have been transformed and normalized. Outliers may be considered in or eliminated from the analysis. However, the classical mean and sample covariance matrix used in classical PCA methodology is not reliable if the outliers exist in the data. Since the presence of outliers may affect the computation of the principal component, robust principal component analysis, RPCA should be used. Focusing in Langat River, the RPCA-WQI was introduced for the first time in this study to re-calculate the DOE-WQI. Results show that the RPCA-WQI is capable to capture similar distribution in the existing DOE-WQI.

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ID Code: 88485
Item Type: Conference Paper
Refereed: Yes
DOI: 10.1063/1.4882620
ISBN: 9780735412361
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 20 Oct 2015 04:40
Last Modified: 20 Oct 2015 04:40

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