Chapter 13, Problem 90SE

a.

To determine

Calculate $E\left({\overline{Y}}_{ij}\right),V\left({\overline{Y}}_{ij}\right)$ .

Check whether ${\overline{Y}}_{i.}$ is an unbiased estimator for the mean response to treatment i or not. Explain the answer.

b.

To determine

Calculate $E\left({\overline{Y}}_{i.}\right),V\left({\overline{Y}}_{i.}\right)$ .

Check whether ${\overline{Y}}_{i.}$ is an unbiased estimator for the mean response to treatment i or not. Explain the answer.

c.

To determine

Show that $E\left({\overline{Y}}_{i.}-{\overline{Y}}_{i^{\prime }.}\right)={\tau }_i-{\tau }_{i^{\prime }}$ .

d.

To determine

Find $V\left({\overline{Y}}_{i.}-{\overline{Y}}_{i^{\prime }.}\right)$ .