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91 changes: 66 additions & 25 deletions 16_mendelian_randomization/index.html
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</li>

<li class="md-nav__item">
<a href="#instrumental-variables-iv" class="md-nav__link">
<a href="#fundamental-assumption-gene-environment-equivalence" class="md-nav__link">
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Instrumental Variables (IV)
Fundamental assumption: gene-environment equivalence
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<a href="#assumptions" class="md-nav__link">
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Assumptions
Methods: Instrumental Variables (IV)
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IV Assumptions
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<a href="#reference" class="md-nav__link">
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Reference
STROBE-MR
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<a href="#hemani-g-zheng-j-elsworth-b-wade-k-h-haberland-v-baird-d-haycock-p-c-2018-the-mr-base-platform-supports-systematic-causal-inference-across-the-human-phenome-elife-7-e34408" class="md-nav__link">
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Hemani, G., Zheng, J., Elsworth, B., Wade, K. H., Haberland, V., Baird, D., ... &amp; Haycock, P. C. (2018). The MR-Base platform supports systematic causal inference across the human phenome. elife, 7, e34408.
References
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<a href="#instrumental-variables-iv" class="md-nav__link">
<a href="#fundamental-assumption-gene-environment-equivalence" class="md-nav__link">
<span class="md-ellipsis">
Instrumental Variables (IV)
Fundamental assumption: gene-environment equivalence
</span>
</a>

</li>

<li class="md-nav__item">
<a href="#assumptions" class="md-nav__link">
<a href="#methods-instrumental-variables-iv" class="md-nav__link">
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Assumptions
Methods: Instrumental Variables (IV)
</span>
</a>

</li>

<li class="md-nav__item">
<a href="#iv-assumptions" class="md-nav__link">
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IV Assumptions
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</li>

<li class="md-nav__item">
<a href="#reference" class="md-nav__link">
<a href="#strobe-mr" class="md-nav__link">
<span class="md-ellipsis">
Reference
STROBE-MR
</span>
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</li>

<li class="md-nav__item">
<a href="#hemani-g-zheng-j-elsworth-b-wade-k-h-haberland-v-baird-d-haycock-p-c-2018-the-mr-base-platform-supports-systematic-causal-inference-across-the-human-phenome-elife-7-e34408" class="md-nav__link">
<a href="#references" class="md-nav__link">
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Hemani, G., Zheng, J., Elsworth, B., Wade, K. H., Haberland, V., Baird, D., ... &amp; Haycock, P. C. (2018). The MR-Base platform supports systematic causal inference across the human phenome. elife, 7, e34408.
References
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</a>

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<p class="admonition-title">Comparison between RCT and MR</p>
<p><img width="636" alt="image" src="https://user-images.githubusercontent.com/40289485/219572347-1ebc2f0a-3c9a-49a0-a058-638e4973873e.png"></p>
</div>
<h2 id="instrumental-variables-iv">Instrumental Variables (IV)</h2>
<h2 id="fundamental-assumption-gene-environment-equivalence">Fundamental assumption: gene-environment equivalence</h2>
<p>(cited from George Davey Smith Mendelian Randomization - 25th April 2024)</p>
<p>The fundamental assumption of mendelian randomization (MR) is of <strong>gene-environment equivalence</strong>. MR reflects the phenocopy/ genocopy dialectic (Goldschmidt, Schmalhausen). The idea here is that all environmental effects can be mimicked by one or several mutations. (Zuckerkandl and Villet, PNAS 1988)</p>
<p>Gene-environment equivalence</p>
<ul>
<li>Requires justifying in all situations</li>
<li>Relates to biological processes that are influenced by genetic variations</li>
</ul>
<p>If we consider BMI as the outcome, let's think about whether genetic variants related to the following exposures meet the gene-environment equivalence assumption:</p>
<ul>
<li>Higher calorie intake: Yes</li>
<li>Physical activity level: Yes</li>
<li>Losing a leg (which dramatically affects BMI): No</li>
<li>Smoking:? Maybe. Complicated.</li>
</ul>
<h2 id="methods-instrumental-variables-iv">Methods: Instrumental Variables (IV)</h2>
<p>Instrumental variable (IV) can be defined as a variable that is correlated with the exposure X and uncorrelated with the error <span class="arithmatex">\(\epsilon\)</span> in the following regression: </p>
<div class="arithmatex">\[ Y = X\beta + \epsilon \]</div>
<ul>
<li><span class="arithmatex">\(Y\)</span> is the outcome</li>
<li><span class="arithmatex">\(X\)</span> is the exposure</li>
<li><span class="arithmatex">\(C\)</span> is the confounders</li>
</ul>
<h2 id="assumptions">Assumptions</h2>
<p><img width="600" alt="image" src="https://github.com/Cloufield/GWASTutorial/assets/40289485/63c25ce6-e086-4010-86bf-212818f2ac64"></p>
<h2 id="iv-assumptions">IV Assumptions</h2>
<div class="admonition danger">
<p class="admonition-title">Key Assumptions</p>
<table>
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<tbody>
<tr>
<td><strong>Relevance</strong></td>
<td>Instrumental variables are strongly associated with the exposure.</td>
<td>Instrumental variables are strongly associated with the exposure.(IVs are not independent of X)</td>
</tr>
<tr>
<td><strong>Exclusion restriction</strong></td>
<td>Instrumental variables do not affect the outcome except through the exposure.</td>
<td>Instrumental variables do not affect the outcome except through the exposure.(IV is independent of Y, conditional on X and C)</td>
</tr>
<tr>
<td><strong>Independence</strong></td>
<td>There are no confounders of the instrumental variables and the outcome.</td>
<td>There are no confounders of the instrumental variables and the outcome.(IV is independent of C)</td>
</tr>
<tr>
<td>Monotonicity</td>
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<p>Reference: Hemani, G., Tilling, K., &amp; Davey Smith, G. (2017). Orienting the causal relationship between imprecisely measured traits using GWAS summary data. PLoS genetics, 13(11), e1007081.</p>
<h2 id="mr-base-web-app">MR-Base (web app)</h2>
<p><a href="https://app.mrbase.org/">MR-Base web app</a></p>
<h2 id="reference">Reference</h2>
<h2 id="strobe-mr">STROBE-MR</h2>
<p>Before reporting any MR results, please check the STROBE-MR Checklist first, which consists of 20 things that should be addressed when reporting a mendelian randomization study.</p>
<ul>
<li>Skrivankova, V. W., Richmond, R. C., Woolf, B. A., Yarmolinsky, J., Davies, N. M., Swanson, S. A., ... &amp; Richards, J. B. (2021). Strengthening the reporting of observational studies in epidemiology using Mendelian randomization: the STROBE-MR statement. Jama, 326(16), 1614-1621.</li>
</ul>
<h2 id="references">References</h2>
<ul>
<li>Sanderson, E., Glymour, M. M., Holmes, M. V., Kang, H., Morrison, J., Munafò, M. R., ... &amp; Davey Smith, G. (2022). Mendelian randomization. Nature Reviews Methods Primers, 2(1), 1-21.</li>
<li>
<h2 id="hemani-g-zheng-j-elsworth-b-wade-k-h-haberland-v-baird-d-haycock-p-c-2018-the-mr-base-platform-supports-systematic-causal-inference-across-the-human-phenome-elife-7-e34408">Hemani, G., Zheng, J., Elsworth, B., Wade, K. H., Haberland, V., Baird, D., ... &amp; Haycock, P. C. (2018). The MR-Base platform supports systematic causal inference across the human phenome. elife, 7, e34408.</h2>
</li>
<li>Hemani, G., Zheng, J., Elsworth, B., Wade, K. H., Haberland, V., Baird, D., ... &amp; Haycock, P. C. (2018). The MR-Base platform supports systematic causal inference across the human phenome. elife, 7, e34408.</li>
<li>Zuckerkandl, E., &amp; Villet, R. (1988). Concentration-affinity equivalence in gene regulation: convergence of genetic and environmental effects. Proceedings of the National Academy of Sciences, 85(13), 4784-4788.</li>
<li>Skrivankova, V. W., Richmond, R. C., Woolf, B. A., Yarmolinsky, J., Davies, N. M., Swanson, S. A., ... &amp; Richards, J. B. (2021). Strengthening the reporting of observational studies in epidemiology using Mendelian randomization: the STROBE-MR statement. Jama, 326(16), 1614-1621.</li>
</ul>


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<li>@koido : https://github.com/koido</li>
<li>@shimaomao26 : https://github.com/shimaomao26</li>
<li>@Cloufield : https://github.com/Cloufield</li>
<li>@TakeuchiYohei : https://github.com/TakeuchiYohei</li>
</ul>
<h2 id="contact-us">Contact Us</h2>
<p>This repository is currently maintained by <a href="https://github.com/Cloufield">Yunye He</a>. </p>
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