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To find things out about a population of interest, it is common practice to take a sample. A sample is a selection of objects and observations taken from the population of interest. For example, a population might be all apples in an orchard at a given time. We wish to know how big the apples are. We can't measure all of them, so we take a sample of some of them and measure them. The method chosen for taking the sample depends on the nature of the population, and the resources available in terms of time and money. The ideal is for each object in a population to be equally likely to be chosen as part of the sample. This is called an unbiased sample. It is also desirable for the sample to be representative of the population. If the population of apples were two thirds red and one-third green, the sample should be similarly split. Note that no matter what we do, there will always be sampling error or variation due to sampling, as we are looking at a part of the population, not the whole population. The video on variation covers these concepts more thoroughly. This video presents five methods of sampling: For each method we will outline the process and the advantages and disadvantages. Simple random sampling is theoretically the ideal method of Sampling. You list each member the population and use random numbers to decide which objects are in the sample. Each object is equally likely to be selected. This produces an unbiased sample which we hope is representative. However, it can be difficult and expensive to take a simple random sample when dealing with people. Simple random sampling is more practical when the population is geographically concentrated and when a good sampling frame exists. A sampling frame is a list of all the people or objects in the population interest. Simple random sampling can be more easily implemented for natural and manufacturing populations. Convenience sampling is just that: Convenient! You ask people nearby, or people who walk past at a shopping mall, or you take the next 20 objects off the production line. You do what is easy or convenient. Convenience samples are often biased in some way. But, for a quick and cheap poll it may not really matter. Convenience samples can also have self-selection bias when people choose to participate, because they have an interest in the issue in question. With systematic sampling you choose a starting point at random, and then systematically take objects at a certain number apart. For example, if there are a thousand in the population, and you want a sample of fifty, you would take every twentieth object. Systematic samples are easier to administer than simple random samples and are usually a good approximation of a random sample. However, if there's a pattern in the population, certain types of objects could be chosen more or less often than others. Cluster sampling the population is divided into clusters which are then chosen at random. For example, departments of a business can be...
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