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-     Randomization
 
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- <h2 id="Endnote">Endnote<a class="anchor-link" href="#Endnote"> </a></h2><p>In the terminology that we have developed, John Snow conducted an
 
- observational study, not a randomized experiment. But he called his study a
 
- “grand experiment” because, as he wrote, “No fewer than three hundred thousand
 
- people … were divided into two groups without their choice, and in most cases,
 
- without their knowledge …”</p>
 
- <p>Studies such as Snow’s are sometimes called “natural experiments.” However, true
 
- randomization does not simply mean that the treatment and control groups are
 
- selected “without their choice.”</p>
 
- <p>The method of randomization can be as simple as tossing a coin. It may also be
 
- quite a bit more complex. But every method of randomization consists of a
 
- sequence of carefully defined steps that allow chances to be specified
 
- mathematically. This has two important consequences.</p>
 
- <ol>
 
- <li><p>It allows us to account—mathematically—for the possibility that randomization
 
- produces treatment and control groups that are quite different from each
 
- other.</p>
 
- </li>
 
- <li><p>It allows us to make precise mathematical statements about differences
 
- between the treatment and control groups. This in turn helps us make
 
- justifiable conclusions about whether the treatment has any effect.</p>
 
- </li>
 
- </ol>
 
- <p>In this course, you will learn how to conduct and analyze your own randomized
 
- experiments. That will involve more detail than has been presented in this
 
- chapter. For now, just focus on the main idea: to try to establish causality,
 
- run a randomized controlled experiment if possible. If you are conducting an
 
- observational study, you might be able to establish association but it will be harder to establish causation. Be extremely careful about confounding factors before making
 
- conclusions about causality based on an observational study.</p>
 
- <p><strong>Terminology</strong></p>
 
- <ul>
 
- <li>observational study</li>
 
- <li>treatment</li>
 
- <li>outcome</li>
 
- <li>association</li>
 
- <li>causal association</li>
 
- <li>causality</li>
 
- <li>comparison</li>
 
- <li>treatment group</li>
 
- <li>control group</li>
 
- <li>epidemiology</li>
 
- <li>confounding</li>
 
- <li>randomization</li>
 
- <li>randomized controlled experiment</li>
 
- <li>randomized controlled trial (RCT)</li>
 
- <li>blind</li>
 
- <li>placebo</li>
 
- </ul>
 
- <p><strong>Fun facts</strong></p>
 
- <ol>
 
- <li><p>John Snow is sometimes called the father of epidemiology, but he was an
 
- anesthesiologist by profession. One of his patients was Queen Victoria, who
 
- was an early recipient of anesthetics during childbirth.</p>
 
- </li>
 
- <li><p>Florence Nightingale, the originator of modern nursing practices and famous
 
- for her work in the Crimean War, was a die-hard miasmatist. She had no time
 
- for theories about contagion and germs, and was not one for mincing her
 
- words. “There is no end to the absurdities connected with this doctrine,” she
 
- said. “Suffice it to say that in the ordinary sense of the word, there is no
 
- proof such as would be admitted in any scientific enquiry that there is any
 
- such thing as contagion.”</p>
 
- </li>
 
- <li><p>A later RCT established that the conditions on which PROGRESA insisted—children
 
- going to school, preventive health care—were not necessary to
 
- achieve increased enrollment. Just the financial boost of the welfare
 
- payments was sufficient.</p>
 
- </li>
 
- </ol>
 
- <p><strong>Good reads</strong></p>
 
- <p><a href="http://www.ucpress.edu/book.php?isbn=9780520250499"><em>The Strange Case of the Broad Street Pump: John Snow and the Mystery of
 
- Cholera</em></a> by Sandra Hempel,
 
- published by our own University of California Press, reads like a whodunit. It
 
- was one of the main sources for this section's account of John Snow and his
 
- work. A word of warning: some of the contents of the book are stomach-churning.</p>
 
- <p><a href="http://www.pooreconomics.com"><em>Poor Economics</em></a>, the best seller by Abhijit Banerjee and Esther Duflo of MIT, is an accessible and lively account of ways to
 
- fight global poverty. It includes numerous examples of RCTs, including the
 
- PROGRESA example in this section.</p>
 
- </div>
 
- </div>
 
- </div>
 
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