Table 2: Best simultaneous fit of the uniform disk diameters. The reduced $\chi ^2$ is defined as the square distance between measure and best fit divided by the difference between number of degrees of freedom and number of measures.
Model $\alpha $ PsA 88 Aqr $\chi ^2$
Previous $2.19\pm0.02$ $3.24\pm0.20$  
#1: Linear $\mu^2_{\rm instru}$ $2.25\pm0.06$ $3.26\pm0.05$ 1.1
#2: Spline $\mu^2_{\rm instru}$ $2.23\pm0.07$ $3.26\pm0.06$ 0.51

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