THE REAL ERROR OF CYRIL BURT
cent of the information in all fourteen vectors, leaving only 2.9
percent for subsequent axes. My fourteen vectors formed an
extremely tight swarm (all practically overlapping); the first axis
went through the middle of the swarm. My pelycosaurs ranged in
body length from less than two to more than eleven feet. They all
look pretty much alike, and big animals have larger measures for
all fourteen bones. All correlation coefficients of bones with other
bones are very high; in fact, the lowest is still a whopping 0.912.
6*5 Computing the amount of information in a vector explained by an
axis. Draw a line from the tip of the vector to the axis, perpendicular to
the axis. The amount of information resolved by the axis is the ratio of the
projected length on the axis to the true length of the vector. If a vector lies
close to the axis, then this ratio is high and most of the information in the
vector is resolved by the axis. Vector AB lies close to the axis and the ratio
of the projection AB' to the vector itself, AB, is high. Vector AC lies far
from the axis and the ratio of its projected length AC to the vector itself,
AC, is low.