Population and SampleOften in scientific research our goal is to describe a population. A population can be defined as the complete set of subjects, variables, or concepts under consideration. If we examine every member of a population, we call that a census. Like the US Census, this means counting or examining every member of a population. Often we do not have the time or resources to do an entire census, so we take a sample. A sample is a subset of a population that is representative of the entire population. If it's not representative, it's not generalizable to the larger population.The accuracy of systematic sampling depends on the adequacy of the sampling frame, or complete list of the members of a population. The phone book is inadequate for phone numbers, for example, because everyone in the population is not listed. A better sampling frame would be all known working telephone numbers in a block of all numbers in the area under study.
Types of SamplesNon-Probability Samples (not random or mathematical, )
Sample SizeResearchers should always use as large a sample as possible. Sample size calculators are available on the Internet. How large a sample depends on a few general principles:
All research involves error. Sampling error measures the error produced and checks it against variable variance. It is directly related to sample size. The error figure improves as the sample size is increased, but in decreasing increments. Decreasing a sample size from 1,000 to 400 will only decrease the sampling error by a small percentage. You can find many online sampling error calculators, of which one can be found at Wimmer-Hudson Research & Development. So, How close do you want to be? The confidence interval is the plus-or-minus figure usually reported with poll results. We most often use plus or minus 5 percent, although it's not unusual to get that down to plus or minus 3 percent, if the sample is large enough and you are confident of the list's accuracy. For example, if you use a confidence interval of +/- 3 percent, and 47 percent of the sample chooses an answer, you could be "sure" if you'd asked the question of the entire relevant populaton between 44 percent (47-3) and 50 percent (47+3).
How sure do you want to be? The confidence level is expressed as a percentage and represents how often the true percentage of the population who would pick an answer lies within the confidence interval. We most often use 95%. Any less may be too unreliable, and getting it higher is often too difficult and not worth the cost or time.
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Revised 092811 — http://www.uamont.edu/FacultyWeb/sitton/crz/mrea/sampling.html |