Can we study an interaction in above stated question through RBD factorial experiment?
I know that we can do it in a convenient way by adopting Split plot design or Strip plot design but experimental site dimensions don't allow for such layout.
So please don't try to suggest that Split plot or Strip plot is the way.
Just comment whether conducting this field trial in RBD factorial will be statistically sound or not.
Thank you
To my understanding, RCBD in factorial arrangement might be used with your suggested treatment set, as there will be 21 treatment combinations depending on 2 factors and 2 and 7 levels of each factor. However, for statistical inference, other than LSD test are recommended with these treatments.
Main assumptions of split plot design is that main plot treatments require larger plot size to perform those activities which need large space like tillage practices, irrigation methods or nitrogen level etc because in case of nitrogen being highly mobile, there will be ample chances of losses of N via seepage if plot size is small and that nitrogen may get accumulated in neighbouring pots....while allocation of sub plot treatments, there may be small plot...in your question, there are 2 factor say tillage and nitrogen with 7 and 3 levels, respectively, then there will be 21 treatment combinations...if we replicate treatment combinations thrice, then there will be 63 plots of the same size that is larger size because in small plot, performance of 7 different tillage operations may not be possible...so area must be large..in this, we can make one replications in clumps like 7 treatments in 3 rows making 21 combinations..this can be done for other two replications by adopting randomisation procedure.. larger the experimental plot area, higher the error and lesser the precision of the statistical analysis...
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