### The Random Sample

The basic rule of sampling is simple: Every member of the population should have an equal chance of being included in the sample. Though simple in expression, this standard is usually difficult to achieve. As we noted in our discussion of error above, members of the population may not be available to be sampled because they are not literate or because they aren't home when the phone rings. These problems may not be within the control of the researcher, although a very good design may include multilingual interviewers or repeated attempts to reach non-answering phone numbers. Random sampling does not offer a cure for these problems, but it does help to prevent the accidental introduction of even more error.
The word "random" has popular connotations which include ideas of "accidental" or at least devoid of conscious choice. The mathematical concept of randomness that we are dealing with here requires the equal probability of selection called for in the basic rule above.
For example, popular expression might equate taking a random sample with "interviewing the first ten people I met on the street." But there are issues to consider in determining whether this is a good sample: In what neighborhood did I choose the street? What time of day did I go out? Did I really interview the first ten people or did I fail to count that disreputable looking panhandler? In fact, psychological studies have shown that people are not very good at picking things in a truly random fashion. Biases, conscious and unconscious, creep into the process. By setting up random sampling rules we try to eliminate this kind of human bias.

Researchers who are new to random sampling tend to believe that the accuracy of the sample must depend on what fraction of the population is sampled. In fact, this is not the usual case, and it is only when the sample is quite large, ten percent or more of the population, that the size of the population has anything to do with our calculations. In such cases the program will correct the sample size for the size of the population.

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