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Common genomic regions showing a significant effect on a pair of traits were further investigated by comparing LG-level estimates of between-traits genetic correlations (r g ).
If a pair of traits i and j were acquired simultaneously, we would expect γ ij and γ ji to both be higher than expected in the non-contingent case (as j should always appear to be immediately acquired after i and vice versa).
Suppose two variables, e.g. SNP effects on a pair of traits, follow a bivariate t-distribution with a null mean vector, ν degrees of freedom and a scale matrix that is equal to a 2 × 2 identity matrix; here, the two effects are uncorrelated but not independent, as shown in the Appendix.
When all partial correlations between a pair of traits are non-null for each conditioning subset of traits (i.e., they are dependent conditionally on all possible sets of other traits), then a direct causal relation between this pair of traits is declared.
Similar(56)
A dissimilarity matrix, reported |1 ρg(Y,Z)| for all pair of traits, was used as input for the R function hclust (http://www.r-project.org/) to create a dendrogram object with an average agglomerative hierarchical method of clustering which connects trait by trait the most similar ones.
There is no significant correlation between any pair of traits and thus no evidence for shared variation acting on mutant hINS and two eye-development-specific mutants.
The test as designed could be applied to any pair of traits, and interesting future applications of our test include analysis of eQTL signals from different tissues or overlapping disease loci for T1D and other autoimmune diseases.
Each point represents the expression correlation between a pair of s-traits.
For a pair of s-traits originated from the same gene controlled by local-sQTL, the correlation coefficients between them were mostly strong.
We calculated genetic correlation coefficients for all pairs of traits, as indication of common genetic determinants affecting phenotypic variation.
Pearson correlation coefficients were calculated among all pairs of traits.
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CEO of Professional Science Editing for Scientists @ prosciediting.com