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Table 1 Results for parametric and smooth terms in the full and reduced model when using the second-order ordinal smoothing penalty

From: Statistical inference for ordinal predictors in generalized additive models with application to Bronchopulmonary Dysplasia

  Full model    
Parametric terms     
Covariate Estimate Std. error z-value p-value
(Intercept) 6.214 2.630 2.363 0.018
Weight (g) − 0.013 0.004 − 3.381 <0.001
SGA sym. 1.909 1.359 1.405 0.160
Sex (male) 3.022 1.114 2.712 0.007
Multiples 1.524 0.744 2.048 0.041
Steroids − 0.241 0.090 − 2.684 0.007
Antibiotics 0.079 0.090 0.874 0.382
Smooth terms     
Predictor edf Ref.df Chi.sq p-value
Gram negative 1.000 1.000 1.307 0.253
Gram positive 3.708 4.393 5.227 0.264
Pathogenic 5.258 5.831 13.711 0.030
  Reduced model    
Parametric terms     
Covariate Estimate Std. error z-value p-value
(Intercept) 6.426 2.170 2.961 0.003
Weight (g) − 0.012 0.003 − 3.859 < 0.001
SGA sym. 1.991 1.290 1.544 0.123
Sex (male) 2.107 0.834 2.527 0.012
Multiples 1.054 0.528 1.995 0.046
Steroids − 0.174 0.072 − 2.432 0.015
Antibiotics 0.079 0.078 1.013 0.311
Smooth terms     
Predictor edf Ref.df Chi.sq p-value
Gram negative
Gram positive
Pathogenic 4.973 5.696 13.573 0.027