David Thomas Hill PhD Thesis - Research@StAndrews:FullText ...

5.8 The covariance matrix for the deeper rKron sample. . . . . . . . . . . . . . . 168
5.9 Best-fitting Choloniewski function parameters from other surveys. In the
case of de Jong & Lacey, where the BBD is generated in M-re, the re,∗
parameter is quoted. Parameters from v1 of Ball et al. are shown, as the
parameters they have published may result from a local minima (Ball &
Loveday, priv. comm). Parameters have not been converted onto the AB
magnitude system. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
5.10 Thebestfittingmodified-modelfunctionparametersfortheBivariatebrightness
distributions. These datapoints are for samples that will suffer from
colour incompleteness, but use varying magnitude limits for each object
within the SWML algorithm to correct for this bias. The dataset fit to the
model is the same dataset fit to the unmodified function, so sample sizes
are shown in Table 5.4. χ 2 parameters for this dataset are shown in Table
5.6. Uncertainties are calculated from the 90% confidence intervals for a
system with 7 degrees of freedom, when all other parameters are fixed to
the best-fitting solution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182
5.11 Thebestfittingmodified-modelfunctionparametersfortheBivariatebrightness
distributions. These parameters are for samples that have been cut to
a brighter apparent magnitude in order to guarantee that they are colour
complete. The dataset fit to the model is the same dataset fit to the unmodified
function, so sample sizes are shown in Table 5.5. The rSDSS Petro
sampleisthesameasthesampledetailedinTable5.10, andsoisnot shown.
χ 2 parameters for this dataset are shown in Table 5.6. Uncertainties are
calculated from the 90% confidence intervals for a system with 7 degrees of
freedom, when all other parameters are fixed to the best-fitting solution. . . 185
5.12 j and νf(ν) statistics from the deepest cut sample Bivariate brightness distributions,
derived from the best-fitting Choloniewski and modified model
parameters. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188
5.13 j and νf(ν) statistics from the GAMA CSED paper (Driver et al, in prep),
and a combined MGC-SDSS-UKIDSS sample detailed in Chapter 3. . . . . 189