Smoothing Spline Analysis Of Variance For Polychotomous Response Data

We consider the penalized likelihood method with smoothing spline ANOVA for estimating nonparametricfunctions to data involving a polychotomous response. The fitting procedure involvesminimizing the penalized likelihood in a Reproducing Kernel Hilbert Space. One Step BlockSOR-Newton-Raphson Algorithm is used to solve the minimization problem. Generalized CrossValidationor unbiased risk estimation is used to empirically assess the amount of smoothing (whichcontrols the bias and variance...