The Bayesian Polynomial Regression Model Through INLA Using Gaussian Method with Empirical Bayesian, CCD and GRID Strategy

Abstract

Relationship rice between with height can be described with scatter diagram. Scatter diagram can product the quadratic polynomial regression mod els and the qubic polynomial regression mode which possible. The quadratic polynomial regression model the best variable height and height 2 significant. Then parameter in the quadratic polynomial regression model can be estimated with Bayesian INLA with Gaussian and Empirical Bayes Strategy compare CCD, GRID Strategy. The posterior marginal intercept β0, coefficient β1 and β2 with Gaussian method and different strategy product similar. The posterior marginal of random effects the grid strategy different with CCD and empirical Bayes strategy.