Confidence intervals on ratios of positive linear combinations of variance components

Naitee Ting, Richard K. Burdick and Franklin A. Graybill

Statistics & Probability Letters, 1991, vol. 11, issue 6, 523-528

Abstract: In variance component models, the ratio [rho] is often of interest, where [rho] = ([Sigma]pq=1>kq[theta]q)/([Sigma]Qr=P+1kr[theta]r), kq0, kr\s>;0, and [theta]q, [theta]r are expected mean squares from an analysis of variance table, Q=1,..., P; r = P+1,..., Q. This paper pre methods for constructing approximate confidence intervals on [rho].

Keywords: Experimental; design; random; model (search for similar items in EconPapers)
Date: 1991
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