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We also apply a correction for mass loss to both the local group and \cite{Whitaker_2014} data. As these both determine mass by integrating the star formation rate over time, the data shows the total stellar mass formed by a certain time, rather than the total stellar mass present at that time. Much of this mass loss is caused by the death of high mass, short lifespan ($ < 100Myr$) stars and so can be approximated as instantaneous using a multiplicative factor. The \cite{Tomczak_2014} determines mass from observed luminosity and not star formation rates, and so this is not applied there.
Finally, a
morphological environmental correction
is was applied to the local group data.
Approximately 50\% of If we split the known
galaxies in the local group
appear in this data set. However, if we divide these galaxies into
those attached to groups based on their location - satellites of the
milky way, those attached to Milky Way, satellites of M31 (Andromeda) and those
in the field, attached to neither of these two - we find that
we do the \cite{Weisz_2014} data, which contains only a subset of approximately half of all galaxies, does not sample
evenly from these
groups evenly. This correction weights three groups. To correct for this, we weight galaxies to ensure that at each
galaxy mass and redshift the different environments are correctly weighted.
A significant analysis was also performed on the errors on the local group data reported by \cite{Weisz_2014}. These errors were calculated using methods defined in \cite{Dolphin_2012} (systematic) and \cite{Dolphin_2013} (random) but are considered extremely conservative. A method to
account for this sub sampling determine a more reasonable set of uncertainties was not found and so we adopt the convention used in a later paper by Weisz,
The main analysis of the local group data was to do with the error bars reported by \cite{Weisz_2014}. These errors follow the conventions specified in \cite{Dolphin_2012} for systematic uncertainties and \cite{Dolphin_2013} for random. However, these uncertainties are extremely conservative and so instead we use the same convention as in \cite{Weisz_2014} which conservatively a relative uncertainty of 50\%.