search for: alpha_3

...form \[\alpha_1=\beta_1=(\alpha\beta)_{11}= (\alpha\beta)_{12}=(\alpha\beta)_{12}=(\alpha\beta)_{31}=0\] in the model $E[Y_{jkl}]=\mu+\alpha_j+\beta_k+(\alpha\beta)_{jk}$ $j=1,2,3$, $k=1,2$, $l=1,2$, Dobson, page 102. My question is: how can I incorporate restrictions like $\alpha_1+\alpha_2+\alpha_3=0$, $\beta_1+\beta_2=0$, $(\alpha\beta)_{21}+\alpha\beta)_{22}=0$, $(\alpha\beta)_{31}+(\alpha\beta)_{32}=0$ and $(\alpha\beta)_{11}+(\alpha\beta)_{21}+(\alpha\beta)_{31}=0$ from the outset? Or put another way: Why is it that lm() uses the corner point constraints by default? Where can I find a...