Chapter 11.2, Problem 24E

a.

To determine

Prove that $E\left({\overline{X}}_{i\cdot \cdot }-{\overline{X}}_{\cdot \cdot \cdot }\right)={\alpha }_i$ so that ${\widehat{\alpha }}_i={\overline{X}}_{i\cdot }-{\overline{X}}_{\cdot \cdot }$ unbiased estimator for ${\alpha }_i$.

b.

To determine

Prove that ${\widehat{\gamma }}_{ij}$ is an unbiased estimator of ${\gamma }_{ij}$