Properties of Designs in Experiments on Spatial Lattices

References

• Atkinson , A. ( 1969 ). The use of residuals as a concomitant variable . Biometrika 56 : 33 – 41 . [CSA]
   Web of Science ®Google Scholar
• Bailey , R. A. ( 1982 ). The decomposition of treatment degrees of freedom in quantitative factorial experiments . J. Roy. Statist. Soc. B 44 : 63 – 70 . [CSA]
   Google Scholar
• Bailey , R. A. ( 1984 ). Quasi-complete Latin squares: construction and randomization . J. Roy. Statist. Soc. B 46 : 323 – 334 . [CSA]
   Google Scholar
• Bartlett , M. S. (1978). Nearest neighbor models in the analysis of field experiments. J. Roy. Statist. Soc. B 40:147–158. [CSA]
   Google Scholar
• Besag , J. E. ( 1974 ). Spatial interaction and the statistical analysis of lattice systems . J. Roy. Statist. Soc. B 36 : 192 – 225 . [CSA]
   Google Scholar
• Besag , J. E. , Kempton , R. A. ( 1986 ). Statistical analysis of field experiments using neighboring plots . Biometrics 42 : 231 – 251 . [CSA]
   Web of Science ®Google Scholar
• Besag , J. E. , Higdon , D. M. ( 1999 ). Bayesian analysis of agricultural field experiments . J. Roy. Statist. Soc. B 61 ( to appear ). [CSA]
   Google Scholar
• Buckley , M. J. ( 1994 ). Fast computation of a discretized thin-plate smoothing spline for image data . Biometrika 81 : 247 – 258 . [CSA]
   Web of Science ®Google Scholar
• Butler , N. A. ( 1998 ). A frequency domain comparison of estimation methods for Gaussian fields . Commun. Statist. Theor. Meth. 27 : 2325 – 2342 . [CSA]
   Web of Science ®Google Scholar
• Butler , N. A. ( 2001 ). Optimal and orthogonal Latin hypercube designs for computer experiments . Biometrika 88 : 847 – 857 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Cox , D. R. ( 1979 ). A remark on systematic Latin squares . J. Roy. Statist. Soc. B 41 : 388 – 389 . [CSA]
   Google Scholar
• Cressie , N. ( 1991 ). Statistics for Spatial Data . New York : John Wiley .
   Google Scholar
• Cullis , B. R. , Gleeson , A. C. ( 1991 ). Spatial analysis of field experiments — an extension to two dimensions . Biometrics 47 : 1449 – 1460 . [CSA]
   Web of Science ®Google Scholar
• Edmondson , R. N. ( 1993 ). Systematic row-and-column designs balanced for low-order polynomial interactions between rows and columns . J. Roy. Statist. Soc. B 55 : 707 – 723 . [CSA]
   Google Scholar
• Gilmour , S. G. , Mashaya , M. T. , Edmondson , R. N. ( 1995 ). Two-way block designs which are both neighbor balanced and trend resistant . Aspects Appl. Biol. 43 : 25 – 30 . [CSA]
   Google Scholar
• Jeffries , D. ( 1997 ). The design and analysis of field trials in the frequency domain . MSc thesis. The University of Reading .
   Google Scholar
• Kiefer , J. , Wynn , H. P. ( 1981 ). Optimum balanced block and Latin square designs for correlated observations . Ann. Statist. 9 : 737 – 757 . [CSA]
   Web of Science ®Google Scholar
• Künsch , H. R. ( 1994 ). Robust priors for smoothing and image restoration . Ann. Institute Statist. Math. 46 : 1 – 19 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Martin , R. J. ( 1982 ). Some aspects of experimental design and analysis when errors are correlated . Biometrika 69 : 597 – 612 . [CSA]
   Web of Science ®Google Scholar
• Martin , R. J. ( 1986 ). On the design of experiments under spatial correlation . Biometrika 73 : 247 – 277 . [CSA]
   Web of Science ®Google Scholar
• Papadakis , J. S. ( 1937 ). Methode statistique pour des experiences sur champ . Bulletin Scientifique. Institut d'Amelioration des Plantes a Thessaloniki (Grece) , 23 .
   Google Scholar
• Patterson , H. D. , Williams , E. R. ( 1976 ). A new class of resolvable incomplete block designs . Biometrika 63 : 83 – 92 . [CSA]
   Web of Science ®Google Scholar
• Williams , E. J. ( 1949 ). Experimental designs balanced for the estimation of residual effects of treatments . Austral. J. Scientif. Res. A2 : 149 – 168 . [CSA]
   Google Scholar
• Williams , E. R. ( 1986 ). A neighbor model for field experiments . Biometrika 73 : 279 – 287 . [CSA]
   Google Scholar