Normalized χ² distributions with respect to the covariance matrix for 150 realizations of the fiducial cosmology with five source redshift planes. Each of the five source planes is associated with 10 signal-to-noise bins containing equal numbers of peaks. Black histograms trace the distribution observed in the simulations and the red curve represents a theoretical χ² distribution with 50 degrees-of-freedom. The top panel gives the distribution for the 150 realizations of the fiducial model. The lower panel gives the distribution for the 50 realizations of the alternate cosmology with Ω_m increased by 10% from its fiducial value.