Observations of ’classical’ dwarf spheroidal kinematics Abstract: I introduce a statistical model for the purpose of characterizing the spatial, kinematic and spectral index distributions of the stellar populations in pressure-supported dwarf galaxies based on spectroscopic measurements of individual stars. This model allows for up to two chemo-dynamically independent stellar components. Where two components are detected, estimates of their different half-light radii and velocity dispersions provide an estimate of the slope of the mass profile in which both components are embedded. I discuss the application of this model to the Milky Way's `classical' dwarf spheroidal satellites.