Abstract
Consider the general unbalanced two-factor crossed components-of-variance model with interaction given by Yijk: = μ+Ai: +Bj: + Cij: +Eijk: (i = 1,2, … a; j = 1,…,b; k = 1,…,.nij:=0) Ai:,Bj:, Cij: and Eijk: are independent unobservable random variables. Also Ai:sim; N(0,σ2 A),Bj: ∼ N(0,σ2 B), Cij:∼N(0,s2 C:) and Eijk:∼N(0,s2 E:). In this paper approximate confidence bounds are obtained for ρA: = ρ2 A/2 and ρB: = ρ2 B:/ρ2 (where σ2 = σ2 A:+ σ2 B+σ2 Cσ2 E) for special cases of the above model. The balanced incomplete block model is studied as a special case.
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