Splitblock design
Field marks:
 Two sets of treatments are randomized across each other in strips in an otherwise RCB design.
 Used where logistics make it necessary to run treatments completely across each block.
 The number of blocks is the number of replications.
Sample layout:
In this example there are 3 blocks (IIII) delineated by colored lines; and 3 treatments (AC) in one set indicated by color gradients either blue to green or yellow to brown and 2 treatments (1 & 2) in a second set indicated by bluegreen or yelloworange colors
Block I Block II Block III
A1 A2 C2 C1 B1 B2
B1 B2 A2 A1 C1 C2
C1 C2 B2 B1 A1 A2
ANOVA table format:
Source of variation 
Degrees of freedom^{a} 
Sums of squares (SSQ) 
Mean square (MS) 
F 
Blocks (B) 
b1 
SSQ_{B} 
SSQ_{B}/(b1) 
MS_{B}/MS_{TrxB} 
Treatments (Tr) 
t1 
SSQ_{Tr} 
SSQ_{Tr}/(t1) 
MS_{Tr}/MS_{TrxB} 
Treatments X Blocks (TrxB) 
(t1)*(r1) 
SSQ_{TrxB} 
SSQ_{TrxB}/((t1)*(r1)) 

Cross Treatments (C) 
c1 
SSQ_{C} 
SSQ_{C}/(c1) 
MS_{C}/MS_{CxB} 
Cross X Blocks (CxB) 
(c1)*(r1) 
SSQ_{CxB} 
SSQ_{CxB}/((c1)*(r1)) 

Cross X Treatments (CxT) 
(c1)*(t1) 
SSQ_{CxT} 
SSQ_{CxT}/((c1)*(t1)) 
MS_{CxT}/MS_{E} 
Error (E) 
(t1)*(c1)*(b1) 
SSQ_{E} 
SSQ_{E}/ ((t1)*(c1)*(b1)) 

Total (Tot) 
t*c*b1 
SSQ_{Tot} 


^{a}where t=number of treatments, c=number of cross treatments and b=number of blocks or replications. 
Sample ANOVA table:
Source of variation 
Degrees of freedom 
Sums of squares (SSQ) 
Mean square (MS) 
F 
Blocks 
2 
17.99 
8.99 
8.47^{a} 
Treatments 
2 
168.62 
84.31 
79.43^{a} 
Treatments X Blocks 
4 
4.25 
1.06 

Cross Treatments 
1 
209.21 
209.21 
128.95^{b} 
Cross X Blocks 
2 
3.24 
1.62 

Cross X Treatments 
2 
22.49 
11.25 
2.85^{c} 
Error 
4 
15.77 
3.94 

Total 
17 
441.57 


^{a}F test with 3,4 degrees of freedom at P=0.05 is 6.94
^{b}F test with 1,2 degrees of freedom at P=0.05 is 18.51
^{c}F test with 2,4 degrees of freedom at P=0.05 is 6.94 
Sample SAS GLM statements:
PROC GLM;
CLASS BLOCKS TREATS CROSS;
MODEL WHATEVER = BLOCKS TREATS BLOCKS*TREATS
CROSS CROSS*BLOCKS CROSS*TREATS;
TEST H=BLOCKS TREATS E=BLOCKS*TREATS;
TEST H=CROSS E=CROSS*BLOCKS;
RUN;
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Thursday, October 3, 2002
