SST


SS (SxT)


= SS treatments
= [(tot of each trt across sites)2 / bs] CF
= {[(trt tot 1 all blocks and all sites)2 +...
 + (trt tot 15)2] / (4 x 3)} CF
= {[(9.38 + 21.81 + 11.862 +...
 + (11.23 + 19.31 + 10.71)2 / 12} 2649.986
= 41.3328


= Sum of squares site x treatment
= {[(trt tot ea/site)2] / b} SSS SST
= {[(tot trt 1, site 1)2 +...
 +(tot trt 15, site 3)2] / 4}
 SSS SST CF
= {[(9.38)2 + (9.46)2 +...+ (10.71)2 / 4}
 295.950 41.3328 2649.986
= 28.5818


- CF


SS (tot) = Total sum of squares
 = Z(each observation)2 CF
 = [(trt 1, block 1, site 1)2 +...
 + (trt 15, block 4, site 3)2] CF
 = [(2.10)2 + (2.27)2 +...
 + (3.33)2] 2649.986
 = 421.049


SSE =

 =


Sum of squares error
SS(tot) [SSS + SSB(S) + SST + SS(SxT)]
421.049 (295.950 + 5.2908 + 41.3328
 + 28.5818)


= 49.8936


To obtain the mean squares, each sum of squares is divided
by its corresponding degrees of freedom (Table V-4). The
F values for sites and treatments are calculated from MS
(SxT) and not MSE. The F value for site-by-treatment
interaction is calculated from MSE.

For sites: F = MSS / MS(SxT)
 = 147.975 / 1.021
 = 144.93**