I’m not sure what I should put into the ForcePriorNuisanceAlt and ForcePriorNuisanceNull methods of the HybridCalculator class.
I want to measure the significance of a signal hypothesis over a null hypothesis with the ProfileLikelihoodTestStat and the HybridCalculator.
Here a simplified example of my problem.
I have an extended likelihood that consists of a signal pdf (with fixed shape) plus an exponential background.
So my likelihood is:
L = (N_s * S(m) + N_b * Expo (m| tau) ) * Gau(tau| tau_0, sigma_0)
N_s and N_b are the floating signal and bkg yields.
S(m) is fixed.
The exponential depends on tau wich is constrained with a Gaussian, with constant mean and sigma.
My null hypothesis is N_s = 0.
So, in the end, my p.o.i. is N_s, my noisance parameters are N_b and tau, and tau is a constrained parameter.
Thus, given my problem, what should I put into the ForcePriorNuisanceAlt(Null) methods?
Thank you very much in advance for your help,