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112 SAMPLING<br />

terms of sex, a random selection of subjects<br />

from group A and group B must be taken. If<br />

needed, the exact proportion of males to females<br />

in the whole population can be reflected<br />

in the sample. The researcher will have to identify<br />

those characteristics of the wider population<br />

which must be included in the sample, i.e. to<br />

identify the parameters of the wider population.<br />

This is the essence of establishing the sampling<br />

frame (see http://www.routledge.com/textbo<strong>ok</strong>s/<br />

9780415368780 – Chapter 4, file 4.9.ppt).<br />

To organize a stratified random sample is a<br />

simple two-stage process. First, identify those<br />

characteristics that appear in the wider population<br />

that must also appear in the sample, i.e. divide<br />

the wider population into homogenous and, if<br />

possible, discrete groups (strata), for example<br />

males and females. Second, randomly sample<br />

within these groups, the size of each group<br />

being determined either by the judgement of<br />

the researcher or by reference to Boxes 4.1<br />

or 4.2.<br />

The decision on which characteristics to include<br />

should strive for simplicity as far as possible, as<br />

the more factors there are, not only the more<br />

complicated the sampling becomes, but often the<br />

larger the sample will have to be to include<br />

representatives of all strata of the wider population.<br />

A stratified random sample is, therefore, a<br />

useful blend of randomization and categorization,<br />

thereby enabling both a quantitative and<br />

qualitative piece of research to be undertaken.<br />

A quantitative piece of research will be able<br />

to use analytical and inferential statistics, while<br />

a qualitative piece of research will be able to<br />

target those groups in institutions or clusters of<br />

participants who will be able to be approached to<br />

participate in the research.<br />

Cluster sampling<br />

When the population is large and widely dispersed,<br />

gathering a simple random sample poses<br />

administrative problems. Suppose we want to survey<br />

students’ fitness levels in a particularly large<br />

community or across a country. It would be completely<br />

impractical to select students randomly<br />

and spend an inordinate amount of time travelling<br />

about in order to test them. By cluster sampling,<br />

the researcher can select a specific number of<br />

schools and test all the students in those selected<br />

schools, i.e. a geographically close cluster is sampled<br />

(see http://www.routledge.com/textbo<strong>ok</strong>s/<br />

9780415368780 – Chapter 4, file 4.10.ppt).<br />

One would have to be careful to ensure that<br />

cluster sampling does not build in bias. For<br />

example, let us imagine that we take a cluster<br />

sample of a city in an area of heavy industry or<br />

great poverty; this may not represent all kinds of<br />

cities or socio-economic groups, i.e. there may be<br />

similarities within the sample that do not catch<br />

the variability of the wider population. The issue<br />

here is one of representativeness; hence it might be<br />

safer to take several clusters and to sample lightly<br />

within each cluster, rather to take fewer clusters<br />

and sample heavily within each.<br />

Cluster samples are widely used in small-scale<br />

research. In a cluster sample the parameters of the<br />

wider population are often drawn very sharply; a<br />

researcher, therefore, would have to comment on<br />

the generalizability of the findings. The researcher<br />

may also need to stratify within this cluster sample<br />

if useful data, i.e. those which are focused and<br />

which demonstrate discriminability, are to be<br />

acquired.<br />

Stage sampling<br />

Stage sampling is an extension of cluster sampling.<br />

It involves selecting the sample in stages, that<br />

is, taking samples from samples. Using the large<br />

community example in cluster sampling, one type<br />

of stage sampling might be to select a number of<br />

schools at random, and from within each of these<br />

schools, select a number of classes at random,<br />

and from within those classes select a number of<br />

students.<br />

Morrison (1993: 121–2) provides an example<br />

of how to address stage sampling in practice. Let<br />

us say that a researcher wants to administer a<br />

questionnaire to all 16-year-old pupils in each<br />

of eleven secondary schools in one region. By<br />

contacting the eleven schools she finds that there<br />

are 2,000 16-year-olds on roll. Because of questions

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