Table 4 β regression estimate and average marginal effect for “Died in ICU”

OLS raw scale

2.947 (2.368, 3.526)

2.486 (2.060, 2.912)

OLS log scale

0.404 (0.302, 0.507)

0.353 (0.268, 0.437)

LMM log scale

0.367 (0.318, 0.416)

0.320 (0.285, 0.355)

Treatment effects regression: log scale

0.297 (0.194, 0.401)

0.215 (0.125, 0.302)

GLM: family(Poisson), link(log)

0.600 (0.444, 0.676)

1.456 (1.064, 1.848)

GLM: family(negative binomial), link(log)

0.596 (0.476, 0.715)

1.679 (1.239, 2.119)

GLM: family(gamma), link(log)

0.619 (0.497, 0.740)

1.802 (1.336, 2.269)

GLM: family(inverse Gaussian), link(log)

0.757 (0.608, 0.906)

2.648 (1.914, 3.382)

EEE: raw scale

0.678 (0.539, 0.817)

1.507 (1.042, 1.972

Skew-t regression: log scale

0.376 (0.268, 0.483)

0.335 (0.250, 0.420)

Skew normal regression: log scale

0.314 (0.214, 0.413)

0.271 (0.195, 0.348)

FMM: raw scale, component 1

0.234 (0.121, 0.347)

0.130 (0.066, 0.195)

FMM: raw scale, component 2

0.648 (0.513, 0.784)

2.395 (1.871, 2.920)

GLM: family(Gaussian), link(log)

0.541 (0.421, 0.662)

1.285 (0.902, 1.667)