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Measurements of the linear polarization of high-energy emission from pulsars, accreting black holes, and gamma-ray bursts (GRBs) provide an opportunity for constraining the emission mechanisms and geometries (e.g., of the accretion disk, jet, magnetic field, etc.) in the sources. For photons in the soft (MeV) gamma-ray band, Compton scattering is the most likely interaction to occur in detectors. Compton telescopes detect multiple interactions from individual incoming photons, allowing for scattering angles to be measured. After many photons are detected from a source, the distribution of azimuthal angles provides polarization information. While the standard method relies on binning the photons to produce and fit an azimuthal scattering angle distribution, improved polarization sensitivity is obtained by using additional information to more accurately weight each event's contribution to the likelihood statistic. In this chapter, we describe the Compton Spectrometer and Imager (COSI) and its capabilities for polarization measurements. We also describe the maximum likelihood technique, its application to COSI data analysis, and plans for its future use.