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Estimations or predictions of a, d, and μ were done by implementing Henderson's mixed model equation (Henderson 1984).
Based on the preceding analysis, the following statements hold a linear mixed model equation for the declared case study: y ij = 2.8321 + b 0 j + 0.02875 + b 1 j x i + ϵ ij, Open image in new window (16) ϵ ij =.3825 ϵ i − 1 j + a ij, Open image in new window.
The reduced model that includes the total mean, the population structure, all the identified loci and the residual error was a mixed model equation.
Further, since the factors are assumed to be uncorrelated, substantial sparsity of the mixed model equation (MME) is gained compared to the standard unstructured multivariate analysis.
By taking the expected value of Equation 31, heritability can be related to the variance components of the mixed model (Equation 26).
Finally, we investigated if the leaf area models can be generalized by using tree and stand variables in the mixed model equation (12).
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A permutation-based F-test (Fs, with 1000 permutations) was then performed and restricted maximum likelihood was used to solve the mixed model equations.
An alternative to estimating GEBVs by summing up all the marker effects, is to estimate GEBVs directly within the framework of mixed model equations (MME).
In the framework of mixed model equations, a new best linear unbiased prediction (BLUP) method including a trait-specific relationship matrix (TA) was presented and termed TABLUP.
The main aim of this study was to present the two-step TABLUP method, which utilizes a trait-specific relationship matrix (TA) in the mixed model equations (MME), for estimating genomic breeding values in the framework of genomic selection.
With markers covering the entire genome, genetic merit of genotyped individuals can be predicted directly within the framework of mixed model equations, by using a matrix of relationships among individuals that is derived from the markers.
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