Rank regression analysis of correlated water quality data from South East Queensland

Wang, You-Gan & Fu, Liya (2011) Rank regression analysis of correlated water quality data from South East Queensland. Environmental and Ecological Statistics, 18(4), pp. 781-793.

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With growing population and fast urbanization in Australia, it is a challenging task to maintain our water quality. It is essential to develop an appropriate statistical methodology in analyzing water quality data in order to draw valid conclusions and hence provide useful advices in water management. This paper is to develop robust rank-based procedures for analyzing nonnormally distributed data collected over time at different sites. To take account of temporal correlations of the observations within sites, we consider the optimally combined estimating functions proposed by Wang and Zhu (Biometrika, 93:459-464, 2006) which leads to more efficient parameter estimation. Furthermore, we apply the induced smoothing method to reduce the computational burden. Smoothing leads to easy calculation of the parameter estimates and their variance-covariance matrix. Analysis of water quality data from Total Iron and Total Cyanophytes shows the differences between the traditional generalized linear mixed models and rank regression models. Our analysis also demonstrates the advantages of the rank regression models for analyzing nonnormal data.

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ID Code: 90441
Item Type: Journal Article
Refereed: Yes
Keywords: Correlation, Generalized linear mixed model, Induced smoothing method, Nonnormal data, Outliers, Water quality
DOI: 10.1007/s10651-010-0165-5
ISSN: 1352-8505
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 17 Nov 2015 05:17
Last Modified: 03 Dec 2015 05:17

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