Abstract. We present the first measurement of the anisotropy parameter β using 3D kinematic information outside of the solar neighborhood. Our sample consists of 13 Milky Way halo stars with measured proper motions and radial velocities in the line of sight of M31. Proper motions were measured using deep, multi-epoch HST imaging, and radial velocities were measured from Keck II/DEIMOS spectra. We measure β = −0.3 + 0. 4 −0 . 9 , which is consistent with isotropy, and inconsistent with measurements in the solar neighborhood. We suggest that this may be the kinematic signature of a relatively early, massive accretion event, or perhaps several such events.Global kinematic properties, such as the relative pressure between tangential and radial velocity components, otherwise known as the velocity anisotropy, can provide important insight into the formation of the stellar halo. Using the 6D phase space information from our survey, we have made the first direct measure of the velocity anisotropy outside of the solar neighborhood (Cunningham et al. 2016).In Deason et al. (2013b), we published the first proper motions of distant Milky Way halo stars; in Cunningham et al. (2016), we present the line-of-sight (LOS) velocities for those same stars. Our 13 objects are the first stars outside of the solar neighborhood to have 3D kinematic information. The left panel of Figure 1 shows a cumulative LOS velocity histogram of the 13 stars in our sample, and the right panel shows the proper motions of the halo stars color coded by LOS velocity (velocities are shown in the Galactocentric frame). We estimated the parameters of the velocity ellipsoid ( v l , σ LOS , σ l , σ b ) using Markov Chain Monte Carlo (Figure 2), and made the first measurement of the anisotropy parameter β using 3D kinematic information outside of the solar neighborhood. We find β = −0.3−0.9 , consistent with isotropy and inconsistent with solar neighborhood measurements, which find a highly radial anisotropy (β ∼ 0.5 − 0.7). Simulations of accreted stellar haloes indicate that β should increase outward (e.g. Abadi et al. 2006), and yet we observe a "dip" in the radial anisotropy profile. This dip is coincident with the break radius in the Milky Way's stellar density profile. We argue that the presence of large, dynamically "fluffy" global substructre, such as a shell (or multiple shells), is one explanation for both the steep fall-off in stellar density beyond the break radius and the decrease in anisotropy at that radius. Deason et al. (2013a) argued that a break in the Milky Way stellar density profile could be created by the build-up of stars at apocenter from either one relatively massive accretion event or several, synchronous accretion events. In this 288 at https://www.cambridge.org/core/terms. https://doi