Approximate confidence bounds for ratios of variance components in two-way unbalanced crossed models with interactions
Titel:
Approximate confidence bounds for ratios of variance components in two-way unbalanced crossed models with interactions
Auteur:
Kazempour, M.K. Graybill, Franklin A.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 20 (1991) nr. 4 pagina's 955-967
Jaar:
1991
Inhoud:
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,σ2A),Bj: ∼ N(0,σ2B), Cij:∼N(0,s2C:) and Eijk:∼N(0,s2E:). In this paper approximate confidence bounds are obtained for ρA: = ρ2A/2 and ρB: = ρ2B:/ρ2 (where σ2 = σ2A:+ σ2B+σ2Cσ2E) for special cases of the above model. The balanced incomplete block model is studied as a special case.
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