In a shared spectrum environment, as is the case in the 3.5 GHz Citizens Broadband Radio Service (CBRS), the secondary users with lower priority are managed by independent spectrum access systems (SASs) in order to protect the incumbents with higher priority from interference. The interference protection is guaranteed in terms of a percentile of the aggregate interference power. The current practice requires each SAS to obtain a global snapshot of interference and use a common algorithm to manage it. We present a simplified method to permit each SAS to independently manage its users while still meeting overall aggregate interference protection requirements. The data include statistical upper bound on aggregate interference for some known distributions, which is the core idea of the proposed method. The data also include numerical results of using the proposed interference protection criterion in terms of two metrics, the total number of users moved from the channel in order to protect the incumbent (i.e., the size of the move list) and the realized aggregate interference of all co-channel users at the incumbent. The data is associated with the letter, "Independent Calculation of Move Lists for Incumbent Protection in a Multi-SAS Shared Spectrum Environment," M. R. Souryal and T. T. Nguyen, in IEEE Wireless Communication Letters, Jan. 2021.