Statistical analysis of LDMX data

Sammanfattning: This thesis explores a statistical framework for analysing LDMX data. It uses pre-built functions in the ROOT framework to calculate likelihoods and confidence levels (CL). Data, background and signal were generated in Monte Carlo simulations with a loose veto on signal in the Hcal with simple systematic uncertainties (for the background and signal) created by varying this selection. The data sets consisted of a 4000 event background and 25 event signal (a strong signal). Four hypotheses were tested with dark photon masses of 1, 10, 100, and 1000 MeV. The pre-bult functions did not work as intended hence another method to find CL$_s$ values needs to be found. Signs of signals were found in three of four hypotheses with the most promising being the 1000 MeV followed by the 100 MeV which where observed to a 95\% CL, the 10 MeV was observed to a 68\% CL. Lastly, the 1 MeV signal was not observed at a 68\% CL.