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Chapter 1: Introduction and Graphical Displays

13

It allows use of different sampling techniques for the subgroups.

It reduces the error for estimation. (The concept of estimation will

be covered later in the e-book).

It is efficient.

Disadvantages of a Stratified Sample

It may be difficult to select the appropriate variables for

stratifications.

It is not a useful sampling technique when there are no

homogeneous subgroups.

The stratified sampling procedure can be expensive.

It requires accurate information about the population.

Cluster Sample

Another type of sampling procedure is called cluster sampling. It is often

used to reduce the cost of sampling the population which is scattered across

a large geographic area. For example, if the researcher wanted to estimate

the average cell phone usage in terms of monthly minutes used, in the state

of Kentucky, the researcher may “cluster” the state in terms of counties and

then samples of these clusters are taken.

Definition: Cluster Sample

A cluster sample is obtained by dividing the population into clusters using

naturally occurring geographic or other boundaries. Next, one or more of

the clusters are selected at random and all or random samples of the

members in the sampled cluster or clusters are used for the sample.

Figure 1-7

shows an illustration for a cluster sample. The counties in the

state of Kentucky are considered the clusters. Next, a random sample of

eight counties is selected, and random samples from these eight counties are

then selected. The cluster sample is obtained by combining these eight

random samples.