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

From: A review of statistical estimators for risk-adjusted length of stay: analysis of the Australian and new Zealand intensive care adult patient data-base, 2008–2009

  β estimate Average marginal effect
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)