Distribution | Pearson's ra | kb | LRTc | df | P-valued |
---|
Weibull | .999 | 2 | 186.39 | 2 | <10-6 |
Gamma | .999 | 2 | 201.67 | 2 | <10-6 |
Exponential | .998 | 1 | 28.29 | 1 | <10-6 |
Logistic | .924 | 2 | -e | - | - |
Normal | .923 | 2 | - | - | - |
Extreme Value | .903 | 3 | - | - | - |
Log-Normal | .854 | 2 | - | - | - |
Cauchy | .163 | 2 | - | - | - |
- a. Pearson's r is the linear correlation of the data to the quartiles, based on the maximum likelihood inferred parameters for each family of distributions.
- b. k is the number of free parameters in the distribution.
- c. Likelihood ratio test: LRT = 2 * (log-likelihood of metabolic ω values + log-likelihood of non-metabolic ω values) - (log-likelihood for all ω values).
- d. Distributed χ2.
- e. Likelihood ratio test only performed for the best distributional fits.