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Section 2.2: Sampling
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Census – An entire population Reasons to use a census
Most common reason is limited resources Restrictions on time and money
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Types of Bias Selection Bias – Tendency for samples to differ from the corresponding population as a result of systematic exclusion of some part of the population Measurement or Response Bias – Tendency for samples to differ from the corresponding population because the method of observation tends to produce values that differ from the true value Nonresponse Bias – Tendency for samples to differ from the corresponding population because data are not obtained from all individuals selected for inclusion in the sample
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Simple Random Sample – A sample that is selected from a population in a way that ensures that every different possible sample of the desired size has the same chance of being selected.
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Selecting a Simple Random Sample
Sampling Frame – A list of the objects or individuals in the population Sampling with replacement – After each successive item is selected for the sample, the item is “replaced” back into the population and may therefore be selected again at a later stage. Sampling without replacement – After being included in the sample, an individual or object would not be considered for further selection
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Other Sampling Methods
Stratified Sampling – When the entire population can be divided into a set of nonoverlapping subgroups called strata Cluster Sampling – Involves dividing the population of interest into nonoverlapping subgroups called clusters Systematic Sampling – A procedure that can be used when it is possible to view the population of interest as consisting of a list or some other sequential arrangement.
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Section 2.3: Statistical Studies: Observational and Experimental
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Observational Study The investigator observes characteristics of a subset of the members of one or more existing populations. Goal of observational studies is to draw conclusions about the corresponding population or about differences between two or more populations.
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Experiments The investigator observes how a response variable behaves when the researcher manipulates one or more factors. Factors – Variables that are manipulated in experiments Goal of Experiments is to determine the effect of the manipulated factors on the response variable
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Biggest difference between observational studies and experiments:
Experiments provide evidence for a cause-and-effect relationship Observational Studies are impossible to draw cause-and-effect conclusions
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Confounding Variables – Is related to both group membership and the response variable of interest in a research study.
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Activity: Designing a Sampling Plan
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