The value of center
determines how column centering is performed. If center
is a numeric-alike vector with length equal to the number of columns of x
, then each column of x
has the corresponding value from center
subtracted from it. If center
is TRUE
then centering is done by subtracting the column means (omitting censoring values) of x$X
from their corresponding columns, and if center
is FALSE
, no centering is done. The same is done for x$lo
and x$up
.
The value of scale
determines how column scaling is performed (after centering). If scale
is a numeric-alike vector with length equal to the number of columns of x
, then each column of x$X
is divided by the corresponding value from scale
. If scale
is TRUE
then scaling is done by dividing the (centered) columns of x$X
by their standard deviations if center
is TRUE
, and the root mean square otherwise. If scale
is FALSE
, no scaling is done. The same is done for x$lo
and x$up
.
The root-mean-square for a (possibly centered) column is defined as \(\sqrt{\sum(x^2)/(n-1)}\), where \(x\) is a vector of observed values and \(n\) is the number of observed values. In the case center = TRUE
, this is the same as the standard deviation, but in general it is not. (To scale by the standard deviations without centering, use scale(x, center = FALSE, scale = apply(x, 2, sd, na.rm = TRUE))
.)