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LIS 570 Selecting a Sample Summary Sampling - the process of selecting observations random; non-random probability; non-probability You don’t have to eat the whole ox to know that the meat is tough Aim A representative sample A sample which accurately reflects its population Avoiding bias Basic terminology Population - the entire group of objects about which information is wanted Unit - any individual member of the population Sample - a part or subset of the population used to gain information about the whole Sampling frame - the list of units from which the sample is chosen Variable - a characteristic of a unit, to be measured for those units in the sample Step 1: Identify the Population The units of analysis about whom or which you want to know Define the population concretely Example Adult Residents of Seattle 2. Decide on a Census or a Sample Census Observe each unit an “attempt” to sample the entire population not foolproof Sample observe a sub-group of the population 3. Decide on Sampling Approach Random sampling Random (Probability) Sampling Each unit (element) has the same chance (probability) of being in the sample Chance or luck of the draw determines who is in the sample (Random) Random samples Each unit has a known probability or chance of being included in the sample An objective way of selecting units Random Sampling is not haphazard or unplanned sampling Types of random sampling Simple random sample Systematic sampling Stratified sampling Cluster sampling How to choose The nature of the research problem Money Availability of a sampling frame Desired level of accuracy Data collection method Simple random samples Obtain a complete sampling frame Give each case a unique number starting with one Decide on the required sample size Select that many numbers from a table of random numbers Select the cases which correspond to the randomly chosen numbers Systematic sampling Sample fraction divide the population size by the desired sample size Select from the sampling frame according to the sample fraction e.g sample faction = 1/5 means that we select one person for every five in the population Must decide where to start Stratified sampling Premise - if a sample is to be representative then proportions for various groups in the sample should be the same as in the population Stratifying variable characteristic on which we want to ensure correct representation in the sample Order sampling frame into groups Use systematic sampling to select appropriate proportion of people from each strata Cluster sampling Involves drawing several different samples draw a sample of areas start with large areas then progressively sample smaller areas within the larger Divide city into districts - select SRS sample of districts Divide sample of districts into blocks - select SRS sample of blocks Draw list of households in each block - select SRS sample of households Random Samples Advantages Ability to generalise from sample to population using statistical techniques Inferential statistics High probability that sample generally representative of the population on variables of interest Non-random Samples Purposive Quota Accidental Generalizability based on “argument” Replication Sample “like” the population Selecting a sampling method Depends on the population Problem and aims of the research Existence of sampling frame Conclusion The purpose of sampling is to select a set of elements from the population in such a way that what we learn about the sample can be generalised to the population from which it was selected The sampling method used determines the generalizability of findings Random samples Non-random sample