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This is obtained by summing the sums of squares for 'transects within sites' (165.0) and 'within sites' (914.4) to give 1079.4, and dividing by the summed respective degrees of freedom (4 + 32) .

This gives a 'new' (smaller) 'mean square within' of 29.98, thus increasing the F-ratio for 'sites' to 57.4 (P < 0.001).