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

Wang, You-Gan and Fu, Liya (2011) Rank regression analysis of correlated water quality data from South East Queensland. Environmental and Ecological Statistics, 18 4: 781-793. doi:10.1007/s10651-010-0165-5


Author Wang, You-Gan
Fu, Liya
Title Rank regression analysis of correlated water quality data from South East Queensland
Journal name Environmental and Ecological Statistics   Check publisher's open access policy
ISSN 1352-8505
1573-3009
Publication date 2011-12
Year available 2010
Sub-type Article (original research)
DOI 10.1007/s10651-010-0165-5
Volume 18
Issue 4
Start page 781
End page 793
Total pages 13
Place of publication New York, United States
Publisher Springer New York
Collection year 2011
Language eng
Formatted abstract
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. © Springer Science+Business Media, LLC 2010
Keyword Water quality
Generalized linear mixed model
Correlation
Induced smoothing method
Nonnormal data
Queensland - Population
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published online: 3 December 2010

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
 
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Created: Fri, 11 Feb 2011, 13:32:24 EST by Kay Mackie on behalf of School of Mathematics & Physics