Comparison of velocities and phase space densities for hot Jupiter and cold Jupiter hosts. Left: phase space density versus peculiar velocity for hot Jupiter host stars (HJs) and for cold Jupiter host stars (CJs). Both marginal distributions (top and right sub-panels) are statistically significantly different. The KS-test p values are shown in the figure. HJ hosts have lower velocity and higher density than CJ hosts. Right: residuals to the detrended phase space density versus peculiar velocity for the same stars. The difference in the distribution of residuals between the hot and cold Jupiter populations is not significant (p_{KS, residuals} = 0.40).