The Smearing retransformation
is used in regression analysis
, after estimating the logarithm
of a variable. Estimating the logarithm of a variable instead of the variable itself is a common technique to more closely approximate normality
. In order to retransform the variable back to level from log, the Smearing retransformation is used.
If the log-transformed variable y is estimated as:
then, the level variable is given by: