Refer to Exercise 13.17 and consider .a Show that . This

Chapter 13, Problem 18E

(choose chapter or problem)

Refer to Exercise  and consider \(\bar{Y}_{i *}-\bar{Y}_{i_{*}^{\prime}}) for \(\dot{i} \neq \dot{i}^{\prime}\).
a Show that \(E\left(\bar{Y}_{i *}-\bar{Y}_{i_{w}}\right)=\mu_{i}-\mu_{i^{\prime}}=\tau_{i}-\tau_{i^{\prime}}\). This result implies that \(\bar{Y}_{i *}-\bar{Y}_{i_{*}^{\prime}}\) is an unbiased estimator of the difference in the effects of treatments  and
b Derive \(V\left(\bar{Y}_{i *}-\bar{Y}_{i_{*}^{\prime}}\right)\)

Equation transcription:

Text transcription:

bar{Y}{i *}-\bar{Y}{i{*}^{\prime}}

dot{i} \neq \dot{i}^{\prime}

E(\bar{Y}{i *}-{Y}{i{w}})=mu{i}-mu{i^{\prime}}=\tau{i}-\tau{i^{\prime}}

V({Y}{i *}-{Y}{i{*}^{\prime}})