Cubic Smoothing Spline on some Selected Blood Pressure Variables

Authors

  • Olubusoye O.E. Department of Statistics University of Ibadan, Nigeria
  • Alaba O.O. Department of Statistics, University of Ibadan
  • Oranye H.E. Department of Statistics, University of Ibadan

Keywords:

Generalized Additive Model, Categorical Covariates, Metrical Covariates, Smoothing Spline, Blood Pressure

Abstract

Generalized Additive Model has become an elegant and practical option in modelling non-linear and linear effects
of covariates as well as the non-Gaussian response variable. This study considered modelling Blood Pressure (BP)
using data with two levels of BP (abnormal and normal) and eight predictors which have both linear and non-linear
effects. The non-parametric functions were estimated in a flexible manner using cubic smoothing spline in an
iterative method called the Back-fitting algorithm. The Cubic smoothing spline was applied to the metrical
covariates (Age and BMI), which gave significant results (p < 0.0001 and 0.0082 respectively) compared to the
linear fit which was not significant. The empirical findings of this study have established that BMI and Age have
significant non-linear effect while sex and cholesterol level have significant linear effect on BP.

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Published

2021-07-08