Table 1.
AIC model weights obtained when modelling hydronium ion concentrations.
The main effects of pH, irradiance and water velocity are denoted by P, I and V, respectively; PI, IV and PV denote the corresponding two-way interactions and PIV is the three-way interaction.
Fig 1.
Model-averaged confidence intervals for mean hydronium ion concentration.
The intervals are labelled as follows: Full-Wald (long dash-dotted purple line), MA-Wald (solid black line), t-version of MATA-Wald (dotted green line), z-version of MATA-Wald (long dashed steelblue line), percentile bootstrap (dash-dotted blue line), and MATA-SBoot (dashed red line). The treatment combination denotes the level of each of three factors: pH (H = 8.00, L = 7.65), irradiance (D = darkness, B = photosynthetically saturating light), and velocity (S = 0.015 m s-1, F = 0.040 m s-1).
Fig 2.
Error rates and relative half-widths when r = 2.
The results obtained using the Full-Wald (down-pointing purple triangle), the MA-Wald (black square), the t-version of the MATA-Wald interval (green diamond), the z-version of the MATA-Wald interval (unfilled steelblue diamond), the percentile interval (blue circle), and the MATA-SBoot interval (up-pointing red triangle). For simplicity, the lower error rates are plotted on the negative axis. The nominal rate is shown as a dashed line.
Fig 3.
Error rates and relative half-widths when r = 5.
The results obtained using the Full-Wald (down-pointing purple triangle), the MA-Wald (black square), the t-version of the MATA-Wald interval (green diamond), the z-version of the MATA-Wald interval (unfilled steelblue diamond), the percentile interval (blue circle), and the MATA-SBoot interval (up-pointing red triangle). For simplicity, the lower error rates are plotted on the negative axis. The nominal rate is shown as a dashed line.
Fig 4.
Error rates and relative half-widths when r = 50.
The results obtained using the Full-Wald (down-pointing purple triangle), the MA-Wald (black square), the t-version of the MATA-Wald interval (green diamond), the z-version of the MATA-Wald interval (unfilled steelblue diamond), the percentile interval (blue circle), and the MATA-SBoot interval (up-pointing red triangle). For simplicity, the lower error rates are plotted on the negative axis. The nominal rate is shown as a dashed line.