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Journal of Statistical Computation and Simulation Volume 73, 2003 - Issue 3
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Original Articles

To be or not to be valid in testing the significance of the slope in simple quantitative linear models with autocorrelated errors

Gülhan Alpargu Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal, Quebec, Canada, H3A 2K6
&
Pierre Dutilleul Department of Plant Science, McGill University, Macdonald Campus, 21,111 Lakeshore Road, Ste-Anne-de-Bellevue, Quebec, Canada, H9X 3V9
Pages 165-180 | Published online: 29 Oct 2010

Citations (15)

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Read on this site (2)

Pierre Dutilleul. (2007) A Note on Sufficient Conditions for Valid Unmodified t Testing in Correlation Analysis with Autocorrelated and Heteroscedastic Sample Data. Communications in Statistics - Theory and Methods 37:1, pages 137-145.
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Gülhan Alpargu & Pierre Dutilleul. (2006) Stepwise Regression in Mixed Quantitative Linear Models with Autocorrelated Errors. Communications in Statistics - Simulation and Computation 35:1, pages 79-104.
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Articles from other publishers (13)

Tony E. Smith & Ka Lok Lee. (2011) The effects of spatial autoregressive dependencies on inference in ordinary least squares: a geometric approach. Journal of Geographical Systems 14:1, pages 91-124.
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Pierre Dutilleul, Brian F. Cumming & Melinda Lontoc-Roy. 2012. Tracking Environmental Change Using Lake Sediments. Tracking Environmental Change Using Lake Sediments 523 548 .
Thomas J. Rodhouse, Kathryn M. Irvine, Kerri T. Vierling & Lee A. Vierling. (2011) Estimating Temporal Trend in the Presence of Spatial Complexity: A Bayesian Hierarchical Model for a Wetland Plant Population Undergoing Restoration. PLoS ONE 6:12, pages e28635.
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Colin M. Beale, Jack J. Lennon, Jon M. Yearsley, Mark J. Brewer & David A. Elston. (2010) Regression analysis of spatial data. Ecology Letters 13:2, pages 246-264.
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Daqian Wu, Jian Liu, Gaosheng Zhang, Wenjuan Ding, Wei Wang & Renqing Wang. (2009) Incorporating spatial autocorrelation into cellular automata model: An application to the dynamics of Chinese tamarisk (Tamarix chinensis Lour.). Ecological Modelling 220:24, pages 3490-3498.
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Marie-Josée Fortin & Mark R.T. Dale. (2009) Spatial Autocorrelation in Ecological Studies: A Legacy of Solutions and Myths. Geographical Analysis 41:4, pages 392-397.
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Mark R. T. Dale & Marie-Josée Fortin. (2009) Spatial autocorrelation and statistical tests: Some solutions. Journal of Agricultural, Biological, and Environmental Statistics 14:2, pages 188-206.
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G. Alpargu & J. Buonaccorsi. (2009) A model-free test for independence between time series. Journal of Agricultural, Biological, and Environmental Statistics 14:1, pages 115-132.
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Pierre Dutilleul, Bernard Pelletier & Gülhan Alpargu. (2008) Modified tests for assessing the multiple correlation between one spatial process and several others. Journal of Statistical Planning and Inference 138:5, pages 1402-1415.
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Colin M. Beale, Jack J. Lennon, David A. Elston, Mark J. Brewer & Jonathan M. Yearsley. (2007) Red herrings remain in geographical ecology: a reply to Hawkins et al. (2007). Ecography 30:6, pages 845-847.
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Ricardo T. Lemos & Bruno Sansó. (2006) Spatio-temporal variability of ocean temperature in the Portugal Current System. Journal of Geophysical Research 111:C4.
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Mário Almeida-Neto & Thomas M. Lewinsohn. (2004) Small-scale spatial autocorrelation and the interpretation of relationships between phenological parameters. Journal of Vegetation Science 15:4, pages 561-568.
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Mário Almeida-Neto & Thomas M. Lewinsohn. (2004) Small-scale spatial autocorrelation and the interpretation of relationships between phenological parameters. Journal of Vegetation Science 15:4, pages 561.
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