Example

An example application of this is in Starr et al. (2008) table 3 (fig:starr2008).

Figure 11: Table used to calculate SE from F, from Starr et al. (2008).
Image starr2008

The results are from one (two?) factor ANOVA with repeated measures, with treatment and week as the factors and no replication.

We will calculate MSE from the $ SS_{\text{treatment}}$ $ df_{\text{treatment}}$, and $ F$-value given in the table; these are $ 109.58$, $ 2$, and $ 0.570$, respectively; $ df_{\text{weeks}}$ is given as $ 10$.

For the 1997 Eriphorium vaginatum, the mean $ A_{max}$ in table 4 is $ 13.49$.

Calculate $ MS_e$:

$\displaystyle MS_e = \frac{109.58}{0.57 \times 2} = 96.12$



David 2011-10-07