Relying on sum-of-squares (SOS) optimization, we introduce a hierarchy of semidefinite programs that give increasingly better convergence bounds for higher levels of the hierarchy. Alluding to the power of the SOS hierarchy, we show that the (dual of the) first level corresponds to the ...
The sum of squares can represent numerous quantities in statistics and other branches of mathematics, but for analysis of variance (ANOVA), the main ones of interest are sum of squares model (SSM), which combines with sum of squares error (SSE) to pr...