Refer to Exercise 13.38 and consider .a Show that is an
Chapter 13, Problem 39E(choose chapter or problem)
Refer to Exercise and consider \(\bar{Y}_{i .}-\bar{Y}_{i^{\prime}}\), for \(i \neq i^{\prime}\).
a Show that \(E\left(\bar{Y}_{i *}-\bar{Y}_{i}\right)=\tau_{i}-\tau_{i^{\prime}}\). This result implies that \(\bar{Y}_{i .}-\bar{Y}_{i^{\prime}}\), is an unbiased
estimator of the difference in the effects of treatment and
.
b Derive \(V\left(\bar{Y}_{i *}-\bar{Y}_{i}^{\prime}\right)\)
Equation transcription:
Text transcription:
bar{Y}{i .}-bar{Y}{i^{\prime}}
i neq i^{\prime}
E(\bar{Y}{i *}-\bar{Y}{i})=tau{i}-tau{i^{\prime}}
V(bar{Y}{i *}-\bar{Y}{i}^{\prime})
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