For the \(2 \times r\) table with scores as in Section 2.3.1,

(a) verify that the MLE of \(\beta\) in the linear regression model in (2.26) is \(\widehat{\beta}=\frac{\overline{x y}-\bar{x} \bar{y}}{\bar{y}^{2}-\bar{y}^{2}}\);

(b) prove \(E(x y)-E(x) E(y)=\sum_{j=1}^{r} p_{1 j}\left(R_{j}-E(y)\right)\).

Section 2.3.1

Transcribed Image Text:

= E(xy) a+ By, (2.26)