Appendix C. Power estimates for n = 81 (Table C1) and n = 36 experimental units (Table C2).
Table C1. Selected estimates of power for designs with 81 experimental units. Power values are the slopes of the probittransformed rejection rates as a function of the square root of the effect sizes; larger slopes mean greater power. Mean powers are only based upon the values of F and F1.


Experimental designs 
#1 Random positions 
#2 Completely randomized lattice 
#3 36U blocks separated in the field (with replic.) 
#4 9U blocks adjacent in the field (with replic.) 
#5 9U blocks arranged in a grid (with replic.) 
#6 3U blocks randomly positioned (unreplicated) 



F statistics 
F 
F 
F1 (F2) 
F1 (F2) 
F1 (F2) 
F1 


Spatial autocor. 
Envir. variable 






Mean power 















































































































































































Mean power 









Notes: U = experimental unit; replic. = replication. "Spatial autocor." is the range of the spherical variogram models for generation of spatial autocorrelation in the environmental and response variables. "Envir. variable": environmental variable types, coded 0–3: see Simulation setup.
Table C2. Selected estimates of power for designs with 36 experimental units. For n = 36, columns 2 and 3 are identical. Power values are the slopes of the probittransformed rejection rates as a function of the square root of the effect sizes; larger slopes mean greater power. Mean powers are only based upon the values of F and F1.


Experimental designs 
#1 Random positions 
#2 Completely randomized lattice 
#3 36U blocks separated in the field (with replic.) 
#4 9U blocks adjacent in the field (with replic.) 
#5 9U blocks arranged in a grid (with replic.) 
#6 3U blocks randomly positioned (unreplicated) 



F statistics 
F 
F 
F 
F1 (F2) 
F1 (F2) 
F1 


Spatial autocor. 
Envir. variable 






Mean power 















































































































































































Mean power 









Notes: U = experimental unit; replic. = replication. "Spatial autocor." is the range of the spherical variogram models for generation of spatial autocorrelation in the environmental and response variables. "Envir. variable": environmental variable types, coded 0–3: see Simulation setup.