Differences between the semi-analytic and Monte Carlo completenesses for MMF3. The left panels show the difference for the full survey over 85% of the sky with a q = 4.5 threshold. The right panels show the difference for the MMF3 cosmology sample, covering 65% of the sky to a threshold of q = 6.0. The top panels show the difference χ_MC−χ_erf as a percentage. The bottom panels compare the completenesses at particular θ₅₀₀ values. The Monte-Carlo completeness is denoted by diamonds and the erf()completeness by solid lines.