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<!DOCTYPE html>
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<h2>Systematic Sampling</h2>
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<h2>Systematic Sampling</h2>
Systematic sampling selects elements at regular intervals from an ordered list.
<h4>Procedure</h4>
<ol>
<li><b>Compute sampling interval: </b>
<br>
$$ k = \frac{N}{n}$$
</li>
<li><b>Choose a random start \( r \in [1, k] \)</b></li>
<li><b>Select units: </b>
$$r, r+k, r+2k, \ldots$$
</li>
</ol>
<p><b>Example: </b>If \( N = 1000 \), \( n = 100 \), then \( k = 10 \). Select every 10th unit after a random start.</p>
<h4>Caution</h4>
If there is hidden periodicity in data, systematic sampling can be biased.
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