Survey sampling is fundamentally an applied field. Although not covered in most books on sample design, most practitioners will inevitably have applications where power calculations are needed. Using power to determine sample sizes is especially useful when some important analytic comparisons can be identified in advance of selecting the sample. Power can also be determined in a one-sample case where a simple hypothesis is being tested versus a simple alternative. A sample size is determined that will allow that difference to be detected with high probability (i.e., a detectable difference). Roughly speaking, power is a measure of how likely you are to recognize a certain size of difference in the means. For example, when comparing the means for two groups, one way of determining sample size is through a power calculation. Another method is to determine the sample size needed to detect a particular alternative value when testing a hypothesis. we calculated sample sizes based on targets for coefficients of variation (CV s), margins of error, and cost constraints.
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