

Indeed, the block effect produces a more or less relevant increase/decrease in the observed response, with respect to the overall mean for example, in a field experiment with two blocks, the most fertile one might might produce a yield increase of 1 t/ha, while the other one will produce a corresponding yield decrease of the same amount. On the contrary, with the most common experiments laid down as Randomised Complete Blocks (RCBDs) or, less commonly, as Latin Square (LSD), apart from the treatment factor, we also have, respectively, one and two blocking factors, which represent additional sources of systematic variability. With those models, apart from differences due to the experimental treatments, all units must be completely independent and there should not be any other systematic sources of variability. In Chapter 7 we showed how we can fit linear models with one categorical predictor and one response variable (one-way ANOVA models).
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