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Linear mixed-effect models with two variance components are often used whenvariability comes from two sources. In genetics applications, variation inobserved traits can be attributed to biological and environmental effects, andthe heritability coefficient is a fundamental quantity that measures theproportion of total variability due to the biological effect. We propose a newinferential model approach which yields exact prior-free probabilisticinference on the heritability coefficient. In particular we construct exactconfidence intervals and demonstrate numerically our method's efficiencycompared to that of existing methods.

Exact prior-free probabilistic inference on the heritability coefficient in a linear mixed model