Publisher Summary This chapter discusses the optimal designs and spline regression. Spline polynomials have received considerable attention from mathematicians, working especially in approximation theory. These functions seem to be extremely suitable for interpolating or approximating data in real world situations as in many cases, the underlying functional from s(x) is different on different parts of X . The term spline usually refers to a piecewise polynomial. The spline polynomials are the least oscillatory functions for interpolating data. For the D-optimal designs, one has the equivalence theorem of Kiefer and Wolfowitz, which shows that the D-optimal and minimax designs are equivalent.
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