[Rd] scale(x, center=FALSE) (PR#14219)

Ben Bolker bolker at ufl.edu
Fri Mar 5 00:06:16 CET 2010

Ben Bolker <bolker <at> ufl.edu> writes:

 [re: behavior of scale() when center=FALSE and scale=TRUE]

>   Again, I agree with you that the behavior is not optimal, but it is
> very hard to make changes in R when the behavior is sub-optimal rather
> than actually wrong (by some definition).  R-core is very conservative
> about changes that break backward compatibility; I would like it if they
> chose to change the function to use standard deviation rather than
> root-mean-square, but I doubt it will happen (and it would break things
> for any users who are relying on the current definition).

>  I have attached a patch
> file (and append the information below as well) that changes "standard
> deviation" back to "root mean square" and is much more explicit about
> this issue ... I hope R-core will jump in, critique it, and possibly use
> it in some form to improve (?) the documentation ...
>   [PS: I have written that the scaling is equivalent to sd() "if and
> only if" centering was done.  Technically it would also be equivalent if
> the column already had zero mean ...]
--- scale.Rd	(revision 51180)
+++ scale.Rd	(working copy)
@@ -41,13 +41,18 @@
   equal to the number of columns of \code{x}, then each column of
   \code{x} is divided by the corresponding value from \code{scale}.  If
   \code{scale} is \code{TRUE} then scaling is done by dividing the
-  (centered) columns of \code{x} by their standard deviations, and if
+  (centered) columns of \code{x} by their root-mean-squares, and if
   \code{scale} is \code{FALSE}, no scaling is done.
-  The standard deviation for a column is obtained by computing the
-  square-root of the sum-of-squares of the non-missing values in the
-  column divided by the number of non-missing values minus one (whether
-  or not centering was done).
+  The root-mean-square for a (possibly centered)
+  column is defined as
+  \eqn{\sqrt{\sum(x^2)/(n-1)}}{sqrt(sum(x^2)/(n-1))},
+  where \eqn{x} is a vector of the non-missing values
+  and \eqn{n} is the number of non-missing values.
+  If (and only if) centering was done,
+  this is equivalent to \code{sd(x,na.rm=TRUE)}.
+  (To scale by the standard deviations without centering,
+  use \code{scale(x,center=FALSE,scale=apply(x,2,sd,na.rm=TRUE))}.)
   Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)

 (Bump re: suggested update to scale.Rd .  Is this under
consideration? I'll stop pestering if it's considered
unacceptable, just don't want it to vanish without a trace ...)

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