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aov and missing values

"Pedro J. Aphalo" <pedro.aphalo at joensuu.fi> writes:
As a general matter, the theory for these designs is based on having
balanced data. The analysis with aov is based on an orthogonal
decompostion according to the error terms, which in the balanced case
means splitting into averages and differences of the values within a plot.
If each plot has received the same treatments, then there is no information
in the averages of the effect of treatment (and therefore it does not
appear in the between-unit stratum), but there will be if the
plots have received different sets of treatment. This will be the case
if some plots have missing values, but not only that: The error model
also becomes dubious (it essentially implies that averages have the same
variance no matter how many observations they are averages of).