GENMOD log link equation

[pink_poodle]

When GENMOD applies a log link to gamma-distributed y, it is making y into natural* log of y? What is the equation behind the log transfomation?

*just found out that Log function in sas means ln (vs. Log10, which is log base 10)

[Rick_SAS · Accepted solution]

No, it doesn't make Y into log(Y). It says that Y = exp(b0 + b1X) + error.

These are similar, but differ in the way that the errors are modeled. For a complete comparison, discussion, and graphs, see "Error distributions and exponential regression models."