**Category:**

**Definition:** The sample is too small to support an inductive generalization about a population

**Examples:**

- I asked six of my friends what they thought of the new spending restraints and they agreed it is a good idea. The new restraints are therefore generally popular.

**Proof:**

The size of the sample is too small to support the conclusion. Examples: (i) Fred, the Australian, stole my wallet. Thus, all Australians are thieves. (Of course, we shouldn't judge all Australians on the basis of one example.)

Identify the size of the sample and the size of the population,then show that the sample size is too small. Note: a formal proof would require a mathematical calculation. This is the subject of probability theory. For now, you must rely on common sense. (Barker: 189, Cedarblom and Paulsen: 372, Davis: 103)

Created by Stephen Downes, Copyright 2023 CC By-NC-SA