Author
HOOKS, TISHA - UNIVERSITY OF NEBRASKA | |
MARX, DAVID - UNIVERISTY OF NEBRASKA | |
KACHMAN, STEPHEN - UNIVERSITY OF NEBRASKA | |
Pedersen, Jeffrey | |
Eigenberg, Roger |
Submitted to: Columbian Journal of Statistics
Publication Type: Peer Reviewed Journal Publication Acceptance Date: 4/2/2008 Publication Date: 6/1/2008 Citation: Hooks, T., Marx, D.B., Kachman, S.D., Pedersen, J.F., Eigenberg, R.A. 2008. Analysis of covariance with spatially correlated secondary variables. Revista Colombiana de Estad istica 31:95-109. 2008 Interpretive Summary: This paper presents a new method for analysis of covariance with a spatial covariate. Data sets which contain measurements on a spatially referenced response and covariate are analyzed using either cokriging or spatial analysis of covariance. While co-kriging accounts for the correlation structure of the covariate, it is purely a predictive tool. Alternatively, spatial analysis of covariance allows for parameter estimation yet disregards the correlation structure of the covariate. A method is proposed which both accounts for the correlation in and between the response and covariate and allows for the estimation of model parameters; also, this method allows for analysis of covariance when the response and covariate are not measured at the same spatial location. Technical Abstract: Data sets which contain measurements on a spatially referenced response and covariate are analyzed using either co-kriging or spatial analysis of covariance. While co-kriging accounts for the correlation structure of the covariate, it is purely a predictive tool. Alternatively, spatial analysis of covariance allows for parameter estimation yet disregards the correlation structure of the covariate. A method is proposed which both accounts for the correlation in and between the response and covariate and allows for the estimation of model parameters; also, this method allows for analysis of covariance when the response and covariate are not co-located. |