Infant | Power law p | Power law with cut-off | Log-normal | Stretched exponential | Distribution | |||
---|---|---|---|---|---|---|---|---|
LLR | p | LLR | p | LLR | p | |||
1 | 0 | −56.2 | 0 | −24.2 | 1.6 × 10−6 | −28.6 | 5.0 × 10−7 | Power law with cut-off |
2 | 0.16 | −0.157 | 0.57 | −0.112 | 0.79 | −0.0282 | 0.97 | Power law |
3 | 0 | −24.3 | 3.2 × 10−12 | −19.5 | 6.8 × 10−5 | −21.6 | 3.5 × 10−5 | Power law with cut-off |
4 | 0 | −31.8 | 1.4 × 10−15 | −29.4 | 5.1 × 10−7 | −31.9 | 1.8 × 10−7 | Power law with cut-off/stretched exponential |
5 | 0.80 | −6.34 × 10−3 | 0.91 | −0.746 | 0.11 | 0.207 | 0.50 | Power law |
6 | 0.030 | −9.05 | 2.1 × 10−5 | −0.183 | 0.68 | 1.25 | 0.49 | Power law with cut-off |
7 | 0 | −288 | 0 | −201 | 2.2 × 10−39 | −219 | 1.2 × 10−42 | Power law with cut-off |
8 | 0.034 | −23.4 | 8.2 × 10−12 | −4.28 | 0.035 | −4.81 | 0.039 | Power law with cut-off |
9 | 0.60 | −6.48 × 10−3 | 0.91 | −0.393 | 0.18 | 0.262 | 0.44 | Power law |
10 | 0.028 | −18.6 | 1.0 × 10−9 | −3.49 | 0.049 | −3.96 | 0.048 | Power law with cut-off |
11 | 0 | −65.9 | 0 | −26.1 | 7.8 × 10−7 | −29.5 | 3.8 × 10−7 | Power law with cut-off |
12 | 0 | −45.7 | 0 | −16.8 | 2.7 × 10−5 | −19.5 | 1.4 × 10−5 | Power law with cut-off |
13 | 0.035 | −15.6 | 2.4 × 10−8 | −6.04 | 0.016 | −6.73 | 0.014 | Power law with cut-off |
Corresponding fits and data in Figure 4. Negative log-likelihood ratio (LLR) values favor that specific column's distribution compared with a power-law distribution fit; e.g., for subject 1, an LLR of −56.2 favors a power law with exponential cut-off. For the power law column, p value is for the hypothesis that the power-law distribution is a plausible fit. For the other distribution columns, p value is for the hypothesis that the corresponding LLR is zero. For subject 4, both power law with exponential cut-off and stretched exponential are favored, with the hypothesis test unable to decide between these.