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. 2013 Dec 9;8(12):10.1371/annotation/31412345-fc86-4d67-b37c-93d42f5f0a59. doi: 10.1371/annotation/31412345-fc86-4d67-b37c-93d42f5f0a59

Correction: Correcting for Population Structure and Kinship Using the Linear Mixed Model: Theory and Extensions

Gabriel E Hoffman
PMCID: PMC5703025  PMID: 29161725

In the paragraph after Equation 4 in the Methods section, the equation in the sentence starting, "Using the property of a multivariate Gaussian that..." is incorrect. Please see the corrected equation here:

graphic file with name 31412345-fc86-4d67-b37c-93d42f5f0a59.g001.jpg

g should be γ in the first equation in equation 5. Please see the corrected equation here:

graphic file with name 31412345-fc86-4d67-b37c-93d42f5f0a59.g002.jpg

In equations 5, 13, 18-21, and 24 tϒ(H) should be tr(H).

In equation 26 the ϒ term should be r. ϒ should also be r in the subsequent sentence. The corrected sentence is, "The effective degrees of freedom is a natural metric of complexity that extends to low rank models and has the form where r denotes the rank."

The headings of Table 1 in the PDF were not printed appropriately. Please see the corrected Table 1 here:

graphic file with name 31412345-fc86-4d67-b37c-93d42f5f0a59.g003.jpg

The title of File S1 should be "Effective degrees of freedom."

Footnotes

Competing Interests: No competing interests declared.


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