The R commands are designed to decompose the total sum of squares additively into components associated with

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The R commands 

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are designed to decompose the total sum of squares additively into components associated with certain subspaces, which are mutually orthogonal for this design. Explain how to compute the row sum of squares on five degrees of freedom directly from the six row averages 

\[
1.943,1.737,2.243,2.129,1.910,2.341 \text {. }
\]
Arrange these six numbers in a \(3 \times 2\) table, and explain the computation of the sums of squares for species, bark, and species: bark from this table of numbers.

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