title: Confidence intervals on the ratio of expected mean squares (theta 1 + d theta 2)/theta 3.
abstract: The variance component ratio delta = (theta 1 + d theta 2)/theta 3 is of interest in many fields of application. This paper proposes and compares two methods for constructing confidence intervals on delta. The better method is compared with a method proposed by Graybill and Wang (1979, Journal of the American Statistical Association 74, 368-374) for the special problem of constructing an interval on sigma 2E/(sigma 2A + sigma 2B + sigma 2E) in a two-fold nested design. An example concerning a heritability study is provided.
authors: Department of Statistics, Colorado State University, Fort Collins 80523.
authors: T F
authors: TF
authors: Lu
authors: F A
authors: FA
authors: Graybill
authors: R K
authors: RK
authors: Burdick
mesh_terms: D000704:Analysis of Variance; D000818:Animals; D001699:Biometry; D005260:Female; D008297:Male; D008954:Models, Biological; D011336:Probability; D012098:Reproduction