Confidence intervals on the ratio of expected mean squares (theta 1 + d theta 2)/theta 3.
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.
Lu
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Department of Statistics, Colorado State University, Fort Collins 80523.
Graybill
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FA
Burdick
R K
RK
D000704:Analysis of Variance; D000818:Animals; D001699:Biometry; D005260:Female; D008297:Male; D008954:Models, Biological; D011336:Probability; D012098:Reproduction