Constrain PD values using a logistic transformation
Dear NMusers,
I am trying to model some PD data, which has a lower bound of zero and an upper
bound of 100. I was wondering how to implement this restriction and if it was
possible to use the general logistic transformation in the $ERROR block shown
below:
$ERROR
IPRE=A(1)
LT=LOG(IPRE/(100-IPRE))+ERR(1)
Y=(100*EXP(LT))/(1+EXP(LT))
If this is appropriate, do I understand correctly that this is NOT a transform
both sides approach; i.e. DV stays in its original or natural form.
Finally, the logistic transformation extends from -∞ to +∞. However, the
dataset does have a small number of values that are zeros and 100 (Five zeros
and a couple of 100s in a dataset of about 700 observations). Do these small
number of extreme values in the dataset cause problem when the LT term is back
transformed above.
Any other method and references for papers that use these types of constraints
would be greatly appreciated.
Warm regards and thanks in advance...MNS