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The significant interaction between the set of thresholds and genotype can be interpreted as a double effect of the genotype, impacting the mean of LS and also its variability in addition to the systematic increase induced by the mean change.
To our knowledge, this is the first time that a major gene controlling the mean of LS has been reported to have an additional effect on the variability of the trait.
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Values for ++* and L + * columns correspond to the ++ and L + thresholds and a shift of the mean η of the underlying variable which would provide mean of L + and ++ LS on the observable scale, respectively.
The expected value of the distribution is 1/(1 - P STU pair)), so we calculated the P STU pair) using the mean of L TU, (L ¯ T U ): P STU pair) = L ¯ T U − 1 L ¯ T U = 0.53 (the density curve is presented on Figure 1).
Using the notion of an asymptotically invariant sequence of means on l ∞, we next show the following mean convergence theorem.
Let { μ n } be a sequence of means on l ∞.
Let { μ n } be a strongly regular sequence of means on l ∞.
Let { μ n } be an asymptotically invariant sequence of means on l ∞.
In Section 3, we prove mean convergence theorems by using sequences of means on l ∞ ; see Theorems 3.4 and 3.5.
The optimal control design induces a parsimonious control intervention by means of l, sparsity-promoting control penalizations.
This analysis produced least squares means of L for each family adjusted for the effects of site.
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