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Table 4 Best fitting distributions for each continuous variable, without and with Kolmogorov–Smirnov correction

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

I0

alpha

8.8

False

0.12

alpha

8.8

False

0.11

PA500

exponnorm

2.98

True

0.07

exponnorm

2.98

True

0.07

HFS

foldcauchy

2.25

True

0.07

foldcauchy

1.57

True

0.07

DA

recipinvgauss

1.6

True

0.06

chi2

1.01

True

0.06

Area

frechet_r

0.5

True

0.07

frechet_r

0.25

True

0.05

A/DA

mielke

1.17

True

0.06

mielke

1.17

True

0.05

Max IP

johnsonsu

4.72

True

0.05

alpha

1.09

True

0.07

DR

johnsonsb

1.2

True

0.05

johnsonsb

1.2

True

0.05

P

genextreme

5.13

True

0.09

genextreme

5.13

True

0.09

  1. Both \({\tilde{\chi }}^2\) (primary) and KS statistics are shown