Maruri-Aguilar, Hugo; Sáenz-de-Cabezón, Eduardo; … - In: Annals of the Institute of Statistical Mathematics 65 (2013) 4, pp. 667-686
If <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$F$$</EquationSource> </InlineEquation> is a full factorial design and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$D$$</EquationSource> </InlineEquation> is a fraction of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$F$$</EquationSource> </InlineEquation>, then for a given monomial ordering, the algebraic method gives a saturated polynomial basis for <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$D$$</EquationSource> </InlineEquation> which can be used for regression. Consider now an algebraic basis for the complementary fraction of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$D$$</EquationSource> </InlineEquation> in <InlineEquation ID="IEq6"> <EquationSource...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>
