---
url: "https://questionstar.com/principles-of-survey-research/chapter-4/slide-130.html"
title: "Simple and Systematic Random Sampling"
type: "lehrbuch-slide"
chapter: 4
chapterTitle: "Sampling"
slide: 130
---

# Simple and Systematic Random Sampling

*Requires knowledge of the population*

Simple Random Sampling

- Each element is selected *independently* of all others. This means:
- Each element of the population has a known and *equal* probability of being selected.
- Every possible sample of size *n* has a known probability of actually being drawn.

Select at random

Abolina Tirza

Bernhardt Carina

Berz Helena

Boeck Nicola

Dollase Miriam

Fränzel Carolin

Frost Annika

Goetze Anika

Jähel Felix

Jank Nadja

Keitzl Inga

Kropp Janine

Kubitzky Victoria

Langen Eduard

Systematic Random Sampling

- First, a *starting element* is selected at random; then every *i* -th element is drawn from the sampling frame.
- The interval *i* results from the size of the population *N* relative to the size of the sample *n* : *i = N / n*

Start here, then every *i* -th

Abolina Tirza

i Bernhardt Carina

Berz Helena

Boeck Nicola

i Dollase Miriam

Fränzel Carolin

Frost Annika

i Goetze Anika

Groth Carolin

Jähel Felix

i Jank Nadja

Keitzl Inga

Kropp Janine

Kubitzky Victoria

---

*Slide 130 of 274 · Chapter 4: Sampling · Principles of Survey Research · Dr. Paul Marx*