Tutorials# Difference between Spey & PyHf’s uncorrelated background models 1. Mathematical construction 2. Setup 3. A toy single-bin scenario 4. Compare the constraint terms directly 5. Profile likelihood ratio 6. \(CL_s\) exclusion at \( \mu = 1\) 7. Scaling: how the difference depends on \(\sigma / n^b\) 8. Summary Utility belt for spey-pyhf plug-in Working with full likelihoods from HEPData