Table 6. Percent of variable normal σ simulations for which AICc selected maximum likelihood (ML) estimation with beta or normal errors best or found no difference between the models (Same) from each simulation (k = 0.0002).
Var σ3 | Var σ2 | Var σ1 | |||||||||
Tr1 | Stage | # meas | Same | Beta ML | Norm ML | Same | Beta ML | Norm ML | Same | Beta ML | Norm ML |
SV2 | Early | 2 | 75.1 | 24.1 | 0.8 | 90.1 | 7.1 | 2.8 | 90.7 | 0.1 | 9.2 |
5 | 39.3 | 32.5 | 28.1 | 39.3 | 21.7 | 39.0 | 39.7 | 22.6 | 37.8 | ||
7 | 37.3 | 44.2 | 18.5 | 39.3 | 21.1 | 39.6 | 35.5 | 16.7 | 47.8 | ||
10 | 31.8 | 51.3 | 16.9 | 33.1 | 20.7 | 46.2 | 26.8 | 14.9 | 58.3 | ||
Mid | 2 | 95.8 | 3.0 | 1.3 | 96.5 | 0.1 | 3.5 | 98.3 | 0.0 | 1.7 | |
5 | 36.7 | 57.3 | 6.0 | 45.7 | 47.7 | 6.6 | 48.1 | 41.4 | 10.5 | ||
7 | 29.4 | 66.6 | 3.9 | 44.6 | 43.6 | 11.8 | 43.7 | 38.9 | 17.4 | ||
10 | 30.7 | 60.1 | 9.3 | 39.9 | 41.7 | 18.5 | 37.1 | 47.9 | 15.0 | ||
Late | 2 | 91.5 | 7.6 | 0.9 | 95.8 | 0.9 | 3.3 | 89.5 | 0.0 | 10.5 | |
5 | 30.5 | 67.4 | 2.1 | 63.6 | 27.8 | 8.6 | 74.7 | 1.3 | 24.0 | ||
7 | 28.1 | 68.8 | 3.0 | 56.5 | 31.4 | 12.2 | 68.4 | 3.5 | 28.1 | ||
10 | 14.0 | 84.2 | 1.8 | 46.1 | 39.1 | 14.8 | 55.0 | 6.1 | 38.9 | ||
End | 2 | 54.5 | 8.3 | 37.2 | 49.1 | 5.2 | 45.8 | 56.7 | 5.8 | 37.5 | |
5 | 21.4 | 73.0 | 5.6 | 24.2 | 70.8 | 5.0 | 23.0 | 74.8 | 2.1 | ||
7 | 6.2 | 92.9 | 0.9 | 14.6 | 82.7 | 2.7 | 20.0 | 75.5 | 4.5 | ||
10 | 0.6 | 99.3 | 0.1 | 1.9 | 97.7 | 0.4 | 2.3 | 97.3 | 0.4 | ||
REP3 | Early | 2 | 23.2 | 74.8 | 2.0 | 53.1 | 39.6 | 7.3 | 85.6 | 0.5 | 14.0 |
5 | 0.6 | 99.2 | 0.2 | 1.9 | 97.4 | 0.7 | 10.3 | 86.3 | 3.4 | ||
7 | 0.1 | 99.8 | 0.0 | 1.2 | 98.3 | 0.6 | 13.2 | 79.6 | 7.2 | ||
10 | 0.0 | 100.0 | 0.0 | 0.4 | 99.4 | 0.1 | 8.8 | 85.0 | 6.2 | ||
Mid | 2 | 77.9 | 19.3 | 2.8 | 92.7 | 1.1 | 6.3 | 98.4 | 0.0 | 1.7 | |
5 | 3.9 | 95.1 | 1.0 | 13.9 | 82.7 | 3.5 | 42.4 | 37.7 | 19.9 | ||
7 | 1.5 | 98.1 | 0.4 | 10.6 | 84.8 | 4.5 | 35.2 | 42.3 | 22.6 | ||
10 | 1.3 | 98.2 | 0.5 | 8.6 | 86.4 | 5.0 | 26.2 | 55.3 | 18.6 | ||
Late | 2 | 95.6 | 2.9 | 1.5 | 95.9 | 0.3 | 3.8 | 90.2 | 0.0 | 9.9 | |
5 | 11.7 | 86.0 | 2.4 | 39.4 | 49.4 | 11.2 | 66.2 | 1.3 | 32.5 | ||
7 | 10.3 | 86.4 | 3.3 | 32.3 | 56.1 | 11.7 | 55.0 | 3.5 | 41.6 | ||
10 | 6.0 | 91.8 | 2.2 | 21.3 | 69.5 | 9.3 | 42.4 | 4.9 | 52.8 | ||
End | 2 | 70.4 | 6.6 | 23.0 | 65.4 | 7.1 | 27.6 | 67.7 | 12.1 | 20.2 | |
5 | 37.3 | 48.7 | 14.0 | 48.7 | 35.4 | 16.0 | 35.5 | 60.3 | 4.3 | ||
7 | 26.2 | 68.1 | 5.8 | 39.0 | 49.5 | 11.6 | 30.9 | 60.8 | 8.4 | ||
10 | 9.2 | 88.4 | 2.4 | 16.5 | 78.3 | 5.2 | 7.4 | 86.7 | 5.9 |
Tr = transformation.
SV = Smithson and Verkuilen [6] transformation.
REP = transformed by replacing values ≥1 with 0.9999 and treating zeros as missing data.