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. 2012 Sep 25;7(9):e45140. doi: 10.1371/journal.pone.0045140

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
1

Tr = transformation.

2

SV = Smithson and Verkuilen [6] transformation.

3

REP = transformed by replacing values ≥1 with 0.9999 and treating zeros as missing data.