Combination of highly correlated measurements of the muon spin precession frequency in a magnetic field for the FNAL measurement of the muon magnetic anomaly

We describe the procedures that were developed to verify the consistency and combine the multiple measurements of the muon spin precession frequency by the Muon g-2 collaboration for the muon magnetic anomaly measurement reported in 2023. To properly verify the consistency of different analyses up to order of 30 ppb, correlations have been modeled and estimated, exploiting bootstrap techniques. A combination procedure has been designed to combine highly correlated measurements to obtain a robust final result with a conservative sub-ppm uncertainty.