In doing a count data model using a Poisson distribution, should the estimate (output) be rounded (or the ceiling) if your target variable is always a whole number in the input training target data and is there a way to do this in the model? (i.e. I enter the integer 0-9, it outputs floats)
To put in practical terms I cannot have 1.22 people or 3.89 people, should this become 1 and 4 within the model.
If so, how do you account for this in your model so the model parameters and outputs so the coefficients and other diagnostic information are in line with the output as the model itself in SAS is not going to round up or down for you and adjust automatically (at least I do not believe so in SAS) and it has to do it after the fact.. creating an inconsistency?
If not, just output it and allow the end user to interpret?
I am still a newbie so I may just be over thinking this ... any input would be appreciated. Yes or No's with some additional detail/reference even more appreciated.