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. 2020 Jul 22;21:482. doi: 10.1186/s12891-020-03493-x

Table 3.

Schwarz Bayesian Criterion (SBC) for models of increasing complexity (lower SBC values indicate a better solution), using data from the development set. Adding smoothing parameters for skewness and kurtosis parameters does not improve model fit

GAMLSS Distribution Parameters with smoothing splines
Median Median, Variance Median, Variance, Skewness Median, Variance, Skewness, Kurtosis
NO 9343.77 9309.87
GA 9503.95 9379.81
TF 9333.56 9313.83 9312.84
BCCG 9334.84 9281.30 9292.47
BCT 9341.22 9288.37 9299.56 9306.63
BCPE 9341.87 9285.50 9295.17 9301.96

Abbreviations: NO Normal, GA Gamma, TF t-Family, BCCG Box Cox Cole and Green, BCT Box Cox t-distribution, BCPE Box Cox Power Exponential