Standardizing values removes
the location and scale attributes from a set of data. The formula
to compute standardized values is
where
is a new standardized
value.
is an observation's
value.
is a variable's standard
deviation.
PROC STANDARD calculates
the mean (
) and standard deviation (
) from the input data set. The resulting standardized
variable has a mean of
M and a standard deviation
of
S.
If the data are normally
distributed, standardizing is also studentizing since the resulting
data have a Student's
t distribution.