Date of Award
Doctor of Philosophy
Noel A. C. Cressie
Several problems related to estimation, analysis and design with correlated observations are addressed. Under a one-dimensional covariance structure, asymptotic expressions of the bias of OLS residuals-based estimators for the covariance function and the variogram are presented. An estimator for the covariance function based on recursive residuals is introduced and compared with the classical OLS residuals-based estimator. A spatial approach to the analysis of experiments, where spatial dependence is assumed, is compared to the traditional one based on uncorrelated observations. The efficiency of incomplete block designs under second-order autoregressive error processes is studied and conditions for the universal optimality of balanced incomplete block designs are derived. Finally, results on the efficiency of first-order nearest-neighbor balanced designs are presented and its robustness against misspecification of a first-order autoregressive error process is discussed.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Martin O. Grondona
Grondona, Martin O., "Estimation and design with correlated observations " (1989). Retrospective Theses and Dissertations. 9043.