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Fig. 3

image

Visually it might seem that the data point in the six-parameter space of Fig. 2 is a much worse outlier than only 1.4σ. One way to see that it really is only 1.4σ is to transform to another parameter space, as shown in this figure. Linear transformations leave the χ2 unaffected, and while ours here are not exactly linear, the shifts are small enough that they can be approximated as linear and the χ2 is largely unchanged (in fact it is slightly worse, 1.6σ). We have chosen these parameters so the shifts are more decorrelated while still using physical quantities. The parameter is the amplitude at a pivot of scale of k = 0.035 Mpc-1, chosen since there is no shift in . Tick marks are omitted here for clarity.

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