Title

Approximate Confidence Bounds For Ratios Of Variance Components In Two-Way Unbalanced Crossed Models With Interactions

Keywords

confidence bounds; missing cells; unbalanced models

Abstract

Consider the general unbalanced two-factor crossed components-of-variance model with interaction given by Yijk=μ+Ai+BjCij+Eijk (i - 1,2, …a; j=1,…b; k = 1,.. n ij > 0) Ai,Bj,Cij and Eijkare independent unobservable random variables. Also Ai~N(0,(0,σ2B), Cij~N(0,σ2C) and Eijk~N(0,σ2E). In this paper approximate confidence bounds are obtained for ρA= σ2A/σ2 and ρB= σ2B/σ2 (where σ2= σ2A+σ2B+σ2C + σ2E) for special cases of the above model. The balanced incomplete block model is studied as a special case. © 1991, Taylor & Francis Group, LLC. All rights reserved.

Publication Date

1-1-1991

Publication Title

Communications in Statistics - Simulation and Computation

Volume

20

Issue

4

Number of Pages

955-967

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/03610919108812992

Socpus ID

28844495534 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/28844495534

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