“…Given the estimated heritability in this study, disease prevalence of red thread in tall fescue can be effectively reduced through selection and breeding. Prabhakaran and Jain (
1987) evaluated the probabilities of inadmissible estimates of heritability [i.e.
and
] in half‐sib analysis using linear regression under the frequentist framework, and pointed out that with the true value of
around 0.5,
is invariably higher than
for total numbers of half‐sibs being greater and equal to 100. In the genetic model presented earlier, all variance components were assumed to follow Gamma distributions; hence, the probability of negative heritability is 0.…”