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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