Lecture 3
Thursday 26th March, 2026

Photo by Olena Bohovyk

Photo by Olena Bohovyk
Population
The totality of individual observations about which inferences are to be made, existing anywhere in the world or at least within a definitely specified sampling area limited in space and time.
Sample
A collection of individual observations selected by a specified procedure.
Populations
Samples
“I saw a bumblebee in Skrylle that was huge! Therefore bumblebees in Skrylle must be unusually large.”
“I saw a bumblebee in Skrylle that was huge! Therefore bumblebees in Skrylle must be unusually large.”
How could we collect a representative sample of:

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02:30
How could we collect a representative sample of:

02:30
What are the main difference between these two studies?

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02:00
Experiment:
Try to control for differences that we can control but are not interested in.
For example:

Photo by Michael Becker
Try to account for differences that we cannot control and are not interested in.
For example:

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Which statement gives you more confidence? Why?
“A clinical trial of a new blood pressure medication reduced the number of heart attacks in the treatment group by 96% and no negative side effects were reported (sample size = 14 people)”
“A clinical trial of a new blood pressure medication reduced the number of heart attacks in the treatment group by 82%, and 2% of participants reported negative side effects (sample size = 300 people)”
02:00
Pseudoreplication

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02:00
When we suspect variables other than the treatment influence the treatment. Sometimes done for logistical reasons.
Examples:
Experiments where multiple treatments are applied, and all combinations of treatments are used:
| Soil type | Fertiliser |
|---|---|
| Sandy | None |
| Sandy | Added |
| Loamy | None |
| Loamy | Added |
What are the main difference between these two studies?

Photo by Michael Becker



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