One of the difficult aspects of statistics that I have found is the nomenclature and terminology being used.
I would like to know what the difference between the following 'techniques' are and examples of when they are most applicable.
Analysis of Variance (ANOVA) Linear Regression Generalized Linear Model (GLM) Generalized Linear Mixed Model (GLMM)
As an aside, is the term 'linear' referring to the coefficients and not the fact that there can be quadratic or cubic factor effects?
Y = B0 + B1*X1 + B2*X1^2 = B0 + B1*X1 + B2*X2 (where X2 = X1^2)