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Table 5 Best fitting distributions for each continuous variable, without and with Kolmogorov–Smirnov outlier removal, considering 5 categories per variable

From: DI2: prior-free and multi-item discretization of biological data and its applications

Variables

Without opt.

\({\tilde{\chi }}^2\) statistic

p-value >0.05 (\({\tilde{\chi }}^2\))

D statistic

With opt.

\({\tilde{\chi }}^2\) statistic

p-value >0.05 (\({\tilde{\chi }}^2\))

D statistic

mcg

foldcauchy

3.72

True

0.08

exponnorm

3.18

True

0.02

gvh

genlogistic

3.57

True

0.03

genlogistic

2.02

True

0.02

alm

genlogistic

17.00

False

0.05

genlogistic

12.08

False

0.03

mit

exponnorm

19.23

False

0.05

exponnorm

6.11

True

0.03

pox

chi2

\(4.4 \times 10^{-14}\)

True

0.99

gengamma

\(4.2 \times 10^{-14}\)

True

0.99

vac

laplace

20.99

False

0.08

pearson3

14.18

False

1.00

nuc

exponnorm

1116.63

False

0.26

mielke

795.28

False

0.26

all variables

genhalflogistic

45.69

False

0.25

genhalflogistic

10.25

False

0.21