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    $\begingroup$ You mention "GLM" in passing, which is surprising, because the concept of "grand mean" doesn't apply to most GLMs. Did you mean to write "OLS" instead? $\endgroup$ Commented Nov 5, 2020 at 15:39
  • $\begingroup$ "General linear model" or "generalized linear model"? They aren't the same. $\endgroup$ Commented Nov 5, 2020 at 15:41
  • $\begingroup$ hmm, no - the course im using to learn stats is discussing this in reference to the GLM (general linear model). I.e. the glm equation Y = B0 + B1 x X1 + B2 x X2 etc. and then states the grand mean is simply the mean of all the means of the dependent variable across conditions $\endgroup$ Commented Nov 5, 2020 at 15:45
  • $\begingroup$ @Dave yes thanks, if you type glm into the tag box it automatically makes it generalized linear model. my bad $\endgroup$ Commented Nov 5, 2020 at 15:46
  • $\begingroup$ I suppose I can simplify the question: Mathematically, why is the intercept the grand mean when using effect coding? $\endgroup$ Commented Nov 5, 2020 at 15:53