openfreebooks-bookgenerator/content/math/statistical-literacy/core.html

48 lines
1.7 KiB
HTML

<div class="book-prose">
<p>
Statistical literacy is the ability to read claims critically, question data quality, and avoid
misleading conclusions.
</p>
<h2 id="good-questions" class="book-prose__heading">Questions to ask about a claim</h2>
<ul>
<li>Who collected the data and why?</li>
<li>How large and representative is the sample?</li>
<li>How was the data measured?</li>
<li>Are conclusions consistent with evidence?</li>
</ul>
<h2 id="sampling-bias" class="book-prose__heading">Sampling and bias</h2>
<p>
Biased samples produce unreliable conclusions. Prefer random, sufficiently large, and
representative samples.
</p>
<h2 id="correlation-causation" class="book-prose__heading">Correlation vs causation</h2>
<p>
Correlation means variables move together. It does <strong>not</strong> prove one causes the other.
Confounders may explain both.
</p>
<h2 id="misleading-charts" class="book-prose__heading">Misleading charts</h2>
<ul>
<li>Truncated axes exaggerating differences.</li>
<li>Inconsistent scales.</li>
<li>Cherry-picked time ranges.</li>
<li>3D chart distortion.</li>
</ul>
<h2 id="risk-language" class="book-prose__heading">Interpreting risk language</h2>
<p>
Distinguish <strong>absolute change</strong> from <strong>relative change</strong>.
“Risk doubled” may still represent a very small absolute increase.
</p>
<h2 id="exam-strategy" class="book-prose__heading">Exam strategy</h2>
<ul>
<li>Quote numerical evidence when critiquing claims.</li>
<li>Mention possible bias/confounding clearly.</li>
<li>Use “suggests” unless causation is justified by design.</li>
<li>Comment on uncertainty and data limitations.</li>
</ul>
</div>