Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia

Modelling observed meteorological elements can be useful. For instance, modelling rainfall has been an interest for many researchers. In a previous research, trend surface analysis was used and it was indicated that the residuals might spatially be correlated. When dealing with spatial data, any mod...

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Main Authors: Shitan, Mahendran, Kok, Wei Ling
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2009
Subjects:
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author Shitan, Mahendran
Kok, Wei Ling
author_facet Shitan, Mahendran
Kok, Wei Ling
author_sort Shitan, Mahendran
collection UPM
description Modelling observed meteorological elements can be useful. For instance, modelling rainfall has been an interest for many researchers. In a previous research, trend surface analysis was used and it was indicated that the residuals might spatially be correlated. When dealing with spatial data, any modelling technique should take spatial correlation into consideration. Hence, in this project, fitting of spatial regression models, with spatially correlated errors to the annual mean relative humidity observed in Peninsular Malaysia, is illustrated. The data used in this study comprised of the annual mean relative humidity for the year 2000-2004, observed at twenty principal meteorological stations distributed throughout Peninsular Malaysia. The modelling process was done using the S-plus Spatial Statistics Module. A total of twelve models were considered in this study and the selection of the model was based on the p-value. It was found that a possible appropriate model for the annual mean relative humidity should include an intercept and a term of the longitude as covariate, together with a conditional autoregressive error structure. The significance of the coefficient of the covariate and spatial parameter was established using the Likelihood Ratio Test. The usefulness of the proposed model is that it could be used to estimate the annual mean relative humidity at places where observations were not recorded and also for prediction. Some other potential models incorporating the latitude covariate have also been proposed as viable alternatives.
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spelling upm.eprints-167952013-02-18T09:13:58Z http://psasir.upm.edu.my/id/eprint/16795/ Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia Shitan, Mahendran Kok, Wei Ling Modelling observed meteorological elements can be useful. For instance, modelling rainfall has been an interest for many researchers. In a previous research, trend surface analysis was used and it was indicated that the residuals might spatially be correlated. When dealing with spatial data, any modelling technique should take spatial correlation into consideration. Hence, in this project, fitting of spatial regression models, with spatially correlated errors to the annual mean relative humidity observed in Peninsular Malaysia, is illustrated. The data used in this study comprised of the annual mean relative humidity for the year 2000-2004, observed at twenty principal meteorological stations distributed throughout Peninsular Malaysia. The modelling process was done using the S-plus Spatial Statistics Module. A total of twelve models were considered in this study and the selection of the model was based on the p-value. It was found that a possible appropriate model for the annual mean relative humidity should include an intercept and a term of the longitude as covariate, together with a conditional autoregressive error structure. The significance of the coefficient of the covariate and spatial parameter was established using the Likelihood Ratio Test. The usefulness of the proposed model is that it could be used to estimate the annual mean relative humidity at places where observations were not recorded and also for prediction. Some other potential models incorporating the latitude covariate have also been proposed as viable alternatives. Universiti Putra Malaysia Press 2009 Article PeerReviewed Shitan, Mahendran and Kok, Wei Ling (2009) Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia. Pertanika Journal of Science & Technology, 17 (2). pp. 333-345. ISSN 0128-7680 Regression analysis Humidity English
spellingShingle Regression analysis
Humidity
Shitan, Mahendran
Kok, Wei Ling
Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia
title Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia
title_full Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia
title_fullStr Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia
title_full_unstemmed Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia
title_short Spatial regression with conditional autoregressive (CAR) errors for annual mean relative humidity in Peninsular Malaysia
title_sort spatial regression with conditional autoregressive car errors for annual mean relative humidity in peninsular malaysia
topic Regression analysis
Humidity
work_keys_str_mv AT shitanmahendran spatialregressionwithconditionalautoregressivecarerrorsforannualmeanrelativehumidityinpeninsularmalaysia
AT kokweiling spatialregressionwithconditionalautoregressivecarerrorsforannualmeanrelativehumidityinpeninsularmalaysia