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@ -189,4 +189,4 @@ Z'X & Z'Z+A^{-1}λ
\begin{bmatrix}
X'Y \\
Z'Y
\end{bmatrix}\]</p><p>Where</p><ul><li>The variables with hats are the statistical estimates of their mixed-model counterparts<ul><li>The predicted value of <span>$μ$</span> is called the <em>Best Linear Unbiased Predictor</em> or <em>BLUP</em></li><li>The estimated value of <span>$β$</span> is called the <em>Best Linear Unbiased Estimate</em> or <em>BLUE</em></li></ul></li><li>&#39; is the transpose operator</li><li><span>$λ$</span> is a single real number that is a function of the heritability for the trait being predicted. It can be left out in many cases (<span>$λ = 1$</span>).<ul><li><span>$λ = \frac{1-h^2}{h^2}$</span></li></ul></li></ul><p>What happened to</p><h2 id="Footnotes"><a class="docs-heading-anchor" href="#Footnotes">Footnotes</a><a id="Footnotes-1"></a><a class="docs-heading-anchor-permalink" href="#Footnotes" title="Permalink"></a></h2><h3 id="Exception"><a class="docs-heading-anchor" href="#Exception">Exception</a><a id="Exception-1"></a><a class="docs-heading-anchor-permalink" href="#Exception" title="Permalink"></a></h3><p>An animal <strong>can</strong> share its genome with itself by a factor of more than one: that&#39;s called inbreeding! We can account for this, and <code>beefblup</code> does as it calculates <span>$A$</span>. This is an area that actually merits a good deal of study: see chapter 2 of <em>Linear Models for the Prediction of Animal Breeding Values</em> by Raphael A. Mrode (ISBN 978 1 78064 391 5).</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../beefblup-cli/">CLI Reference (WIP) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.5 on <span class="colophon-date" title="Sunday 29 August 2021 13:14">Sunday 29 August 2021</span>. Using Julia version 1.5.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
\end{bmatrix}\]</p><p>Where</p><ul><li>The variables with hats are the statistical estimates of their mixed-model counterparts<ul><li>The predicted value of <span>$μ$</span> is called the <em>Best Linear Unbiased Predictor</em> or <em>BLUP</em></li><li>The estimated value of <span>$β$</span> is called the <em>Best Linear Unbiased Estimate</em> or <em>BLUE</em></li></ul></li><li>&#39; is the transpose operator</li><li><span>$λ$</span> is a single real number that is a function of the heritability for the trait being predicted. It can be left out in many cases (<span>$λ = 1$</span>).<ul><li><span>$λ = \frac{1-h^2}{h^2}$</span></li></ul></li></ul><p>What happened to</p><h2 id="Footnotes"><a class="docs-heading-anchor" href="#Footnotes">Footnotes</a><a id="Footnotes-1"></a><a class="docs-heading-anchor-permalink" href="#Footnotes" title="Permalink"></a></h2><h3 id="Exception"><a class="docs-heading-anchor" href="#Exception">Exception</a><a id="Exception-1"></a><a class="docs-heading-anchor-permalink" href="#Exception" title="Permalink"></a></h3><p>An animal <strong>can</strong> share its genome with itself by a factor of more than one: that&#39;s called inbreeding! We can account for this, and <code>beefblup</code> does as it calculates <span>$A$</span>. This is an area that actually merits a good deal of study: see chapter 2 of <em>Linear Models for the Prediction of Animal Breeding Values</em> by Raphael A. Mrode (ISBN 978 1 78064 391 5).</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../beefblup-cli/">CLI Reference (WIP) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.5 on <span class="colophon-date" title="Wednesday 1 September 2021 01:08">Wednesday 1 September 2021</span>. Using Julia version 1.5.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

@ -1,2 +1,2 @@
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