Under the oneway ANOVA assumptions:
(a) Show that the set of statistics (1., 2.,..., k., S2p) is sufficient for (θ1,θ2, ..., θk, σ2).
(b) Show that

is independent of each i., i = 1, ..., k. (See Lemma 5.3.3).
(c) If σ2 is known, explain how the ANOVA data are equivalent to their canonical version in Miscellanea 11.5.6.

Transcribed Image Text:

1)S? N-k.