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Table 1 Log-likelihoods of a linear fit between all ω values and each of 8 common distributions, with likelihood ratio tests for the differences in distributions calculated for the 3 best distributional fits

From: Expression level, cellular compartment and metabolic network position all influence the average selective constraint on mammalian enzymes

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

-

-

-

  1. 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.
  2. b. k is the number of free parameters in the distribution.
  3. 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).
  4. d. Distributed χ2.
  5. e. Likelihood ratio test only performed for the best distributional fits.