# Design Matrix of One-Way ANOVA

Just a note: this is a homework question, so feel free to prod me towards the answer if you want :) Also, I'm pretty bad at statistics so sorry in advance if I'm stupid :/

I'm asked to write the "differential effects" version of a one-way ANOVA, that is:

$Y_{i,j} = \mu + \alpha_j + \epsilon_{i,j}$

Given $\mu$ is the overall mean, $\sum_{j=1}^{k}\alpha_j = 0$, and $\epsilon_{i,j} \sim Normal(0, \sigma^2)$

as a linear model:

$Y = A\beta + \epsilon$