Optimization of factors that could have quadratic effects is the primary goal of response surface methodology.
2.
"The Hosmer-Lemeshow test is for overall calibration error, not for any particular lack of fit such as quadratic effects.
3.
If a quadratic effect is expected for a factor, a more complicated experiment should be used, such as a central composite design.
4.
Electrostriction applies to all crystal symmetries, while the piezoelectric effect only applies to the 20 piezoelectric quadratic effect, unlike piezoelectricity, which is a linear effect.