Polynomial spline regression: Theory and Application

• DOI: 10.48550/arxiv.2212.14777
• Publication Date: 2022-01-01
• Authors: Mithun Kumar Acha...; Kumer Pial Das
• Keywords: Spline (mechanical); B-spline

To deal with non-linear relations between the predictors and response, we can use transformations to make data look linear or approximately linear. In practice, however, transformation methods may be ineffective, it more efficient flexible regression techniques that automatically handle nonlinear behavior. One such method is Polynomial Spline (PS) regression. Because number of possible spline models many, strategies for choosing best one are required. This study investigates different (Polynomial based on Truncated Power, B-spline, P-Spline) in theoretical practical ways. We focus fundamental concepts as theoretically rich. particular, prediction using cross-validation (CV) rather than interpretation, polynomial splines challenging interpret. compare PS a real set conclude P-spline model best.