Table 5 Summary of equivalence-based regression results. Sample size is denoted by n, and the approximate joint two one-sided 95% confidence intervals for the intercept β0 and the slope β1 are (\( {C}_{\beta}^{-},{C}_{\beta}^{+}\Big) \), the intercept interval of equivalence (\( {I}_{\beta}^{-},{I}_{\beta}^{+} \)) for intercept and slope are, respectively, \( \overline{y}\pm \)25% and 1±0.25. F (8, 9,10) means frequency in specific size class, which were predicted using diameter distribution model (Eqs. 8, 9, and 10)
| Â | Variable (Equation) | n | Confidence interval | Indifference region | Reject dissimilarity? | Min. rejection interval | ||
|---|---|---|---|---|---|---|---|---|
\( {C}_{\beta}^{-} \) | \( {C}_{\beta}^{+} \) | \( {I}_{\beta}^{-} \) | \( {I}_{\beta}^{+} \) | |||||
β0 | \( {\overline{h}}_{gc} \) (1) | 59 | 12.61 | 14.47 | 9.73 | 16.21 | Yes | 11.57% |
G (5) | 59 | 21.61 | 23.97 | 17.13 | 28.54 | Yes | 5.36% | |
\( {\overline{d}}_g \) (6) | 59 | 19.85 | 21.73 | 14.68 | 24.46 | Yes | 11.04% | |
F(8,9,10) | 53 | 2.25 | 2.96 | 2.11 | 3.51 | Yes | 19.93% | |
id(13) | 169 | 1.64 | 1.81 | 1.05 | 1.75 | No | 29.29% | |
h (15) | 130 | 15.71 | 16.93 | 13.76 | 22.94 | Yes | 15.32% | |
β1 | \( {\overline{h}}_{gc} \) (1) | 59 | 0.92 | 1.22 | 0.75 | 1.25 | Yes | 20.07% |
G (5) | 59 | 0.82 | 1.10 | 0.75 | 1.25 | Yes | 19.24% | |
\( {\overline{d}}_g \) (6) | 59 | 0.96 | 1.28 | 0.75 | 1.25 | No | 29.89% | |
F(8,9,10) | 53 | 0.20 | 0.67 | 0.75 | 1.25 | No | 80.25% | |
id(13) | 169 | 0.52 | 0.65 | 0.75 | 1.25 | No | 46.54% | |
h (15) | 130 | 0.76 | 0.97 | 0.75 | 1.25 | Yes | 22.56% | |