Intervals for Heritability in Nested Designs

In animal breeding, a more efficient design is the nested design. The purpose of the paper is to consider interval estimation for heritability in nested designs. We propose a novel approach for the interval estimation using the concepts of fiducial inference. A simulation study is conducted to investigate the coverage probabilities of the resulted intervals to the Modified Large Sample (MLS) intervals by Burdick and Graybill. Relative to the MLS approach, the fiducial approach is closer to the nominal coverage for a two-sided interval. The fact shows that the fiducial approach is a suitable candidate for making inference on heritability.