Sampling
When examining a particular population it is usually advisable to choose a small
sample in such a way that everyone is represented. This is not easy and requires
careful thought about sample size and composition. Often questionnaires are
devised to identify the required information. These need to be idiot proof, so
questions need to cover all alternatives and give little scope for variation.
Example question:
A bus company attempted to estimate the number of people who travel on local
buses in a certain town. They telephoned 100 people in the town one evening and
asked 'Have you travelled by bus in the last week?'
Nineteen people said 'Yes'. The bus company concluded that 19% of the town's
population travel on local buses.
Give 3 criticisms of this method of estimation.
In answering this question, there are no 3 correct answers. As long as what you
say is plausible and sensible, you should get the marks. For example, you might
say:
100 people in a large town is not a large enough proportion of the population to
give a good sample.
People who travel on local buses once a fortnight may have said no to the
question. They nevertheless travel on local buses.
On the evening that the sample was carried out, anybody travelling by bus would
be out.
© Matthew Pinkney