Table 1.

A summary of σ8 measurements with SN–WL. We note that with the same method, DES–SN achieves smaller uncertainty than JLA, despite being a smaller sample. We also note in a comparison of methods (both with JLA), that the method in this work achieves similar uncertainty to that of Macaulay et al. (2017), without the imposition of a constant, Gaussian model for the SN intrinsic dispersion. Although the smallest uncertainties in this comparison are from Castro & Quartin (2014), we note that this work makes the least conservative assumptions here as to the measurements of the moments, and the estimation of the data-covariance matrix (as discussed further in Macaulay et al. 2017).

ReferenceSampleMethodσ8 Value
Castro & Quartin (2014)JLAVariance+Skewness+Kurtosis|$0.8^{+0.3}_{-0.7}$|
Macaulay et al. (2017)JLAVariance+Skewness+Kurtosis|$1.6^{+0.5}_{-1.0}$|
This WorkJLASkewness+Correlation0.8|$^{+1.1}_{-0.7}$|
This WorkDES–SNSkewness+Correlation1.2|$^{+0.9}_{-0.8}$|
ReferenceSampleMethodσ8 Value
Castro & Quartin (2014)JLAVariance+Skewness+Kurtosis|$0.8^{+0.3}_{-0.7}$|
Macaulay et al. (2017)JLAVariance+Skewness+Kurtosis|$1.6^{+0.5}_{-1.0}$|
This WorkJLASkewness+Correlation0.8|$^{+1.1}_{-0.7}$|
This WorkDES–SNSkewness+Correlation1.2|$^{+0.9}_{-0.8}$|
Table 1.

A summary of σ8 measurements with SN–WL. We note that with the same method, DES–SN achieves smaller uncertainty than JLA, despite being a smaller sample. We also note in a comparison of methods (both with JLA), that the method in this work achieves similar uncertainty to that of Macaulay et al. (2017), without the imposition of a constant, Gaussian model for the SN intrinsic dispersion. Although the smallest uncertainties in this comparison are from Castro & Quartin (2014), we note that this work makes the least conservative assumptions here as to the measurements of the moments, and the estimation of the data-covariance matrix (as discussed further in Macaulay et al. 2017).

ReferenceSampleMethodσ8 Value
Castro & Quartin (2014)JLAVariance+Skewness+Kurtosis|$0.8^{+0.3}_{-0.7}$|
Macaulay et al. (2017)JLAVariance+Skewness+Kurtosis|$1.6^{+0.5}_{-1.0}$|
This WorkJLASkewness+Correlation0.8|$^{+1.1}_{-0.7}$|
This WorkDES–SNSkewness+Correlation1.2|$^{+0.9}_{-0.8}$|
ReferenceSampleMethodσ8 Value
Castro & Quartin (2014)JLAVariance+Skewness+Kurtosis|$0.8^{+0.3}_{-0.7}$|
Macaulay et al. (2017)JLAVariance+Skewness+Kurtosis|$1.6^{+0.5}_{-1.0}$|
This WorkJLASkewness+Correlation0.8|$^{+1.1}_{-0.7}$|
This WorkDES–SNSkewness+Correlation1.2|$^{+0.9}_{-0.8}$|
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