table 1 -- estimates \begin{tabular}{llllllllllllll} & $\gamma$ & $\delta$ & $\sigma$ & $E ln R$ & $\sigma ln R$ & ER & $\sigma R$ & $\alpha$ & $\beta$ & k & a & b & $\pi$ \\ All, no error corrections, 6 & -7.9 & 1.5 & 98.1 & 12.8 & 100.7 & 68.8 & 125.9 & 43.9 & 1.7 & 18.3 & 1.0 & 3.9 & NaN \\ IPO, no error corrections,6 & 3.0 & 0.8 & 99.7 & 17.4 & 100.5 & 74.0 & 127.0 & 57.2 & 0.9 & 12.7 & 1.3 & 1.7 & NaN \\ All, no error corrections,3 & -23.7 & 2.6 & 108.3 & 6.7 & 115.0 & 79.8 & 150.1 & 41.5 & 3.0 & 11.3 & 1.1 & 3.5 & NaN \\ IPO, no error corrections,3 & -5.0 & 1.4 & 107.7 & 14.3 & 109.6 & 81.7 & 142.6 & 58.2 & 1.6 & 9.0 & 1.2 & 1.8 & NaN \end{tabular} table 1a -- standard errors for table 1 \begin{tabular}{llllllll} & $\sigma(\gamma)$ & $\sigma(\delta)$ & $\sigma(\sigma)$ & $\sigma(k)$ & $\sigma(a)$ & $\sigma(b)$ & $\sigma(\pi)$ \\ All, no error corrections, 6 & 0.6 & 0.0 & 0.6 & 0.0 & 0.0 & 0.0 & NaN \\ IPO, no error corrections,6 & 0.8 & 0.0 & 0.8 & 0.3 & 0.0 & 0.0 & NaN \\ All, no error corrections,3 & 1.0 & 0.1 & 0.8 & 0.2 & 0.0 & 0.0 & NaN \\ IPO, no error corrections,3 & 1.0 & 0.0 & 0.9 & 0.3 & 0.0 & 0.0 & NaN \end{tabular}