Results from fitting 50 different realisations of the COVMOS_halofitP(k) at k_max = 0.25 h/Mpc. Top: Normalised distribution of best-fits in the case of the Gaussian (blue) and full covariance (red). Bottom: Normalised distribution of the pull as defined in Eq. (23). The black dashed line is a Gaussian fit to the histogram. The mean and standard deviation obtained from the fit for each parameter are written in each panel.