Bias-hardened estimator consistency tests for our MV reconstruction. Following the discussion in Sect. 7.4 we form estimators that are bias-hardened against the mean-fields due to inhomgeneous noise levels (φ-N, cyan), masking (φ-M, magenta), and both of these effects simultaneously (φ-M-N, orange). The top panel shows the power spectra of the mean-field for each of these estimators. The middle panel shows the raw power spectra of the reconstructions themselves, compared to the average expected from signal+noise (dashed black). The lower panel shows the power spectrum of the difference between each bias-hardened estimator and the standard result. Dashed black lines give the expected average of this difference (measured on simulations). The grey line is the fiducial power spectrum. We can see that the differences are consistent with the expected scatter for all estimators at L ≥ 10.