Swamy and Arora (1972) estimates of the variance components: The one-way model. (a) Show that (widehat{hat{sigma}}_{v}^{2}) given

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Swamy and Arora (1972) estimates of the variance components: The one-way model.

(a) Show that \(\widehat{\hat{\sigma}}_{v}^{2}\) given in (2.24) is unbiased for \(\sigma_{v}^{2}\).

(b) Show that \(\widehat{\hat{\sigma}}_{1}^{2}\) given in (2.27) is unbiased for \(\sigma_{1}^{2}\).

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