I have some activity data from mice in time bins. The observed data is in percent of time they are mooving. If the mice are stimulated many will move around 100% of the time. However, some of the mice that moove 100% of the time are more stimulated than others so we observe a ceiling effect. So the real Emax is higher than the observed Emax which is limited by a ceiling of the measurements. I would like to convert my PD model with a ceiling effect so that. eg (0,0.3,0.9,1.2,1.5) preddicted from the model is converted to (0.30,90,100,100). I tried
logit(Emax*E/EC50+E)
or
E= ln (EB / (1 - EB))
EB= Emax*E/EC50+E
However both ln and logit does not work in the model structure. Is there another way to do this effect prediction with a ceiling?
BR Frederik