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For a confidence level, there is a corresponding confidence interval about the mean , that is, the interval [, +] within which values of should fall with probability . ...
Welch [29] presented an example which clearly shows the difference between the theory of confidence intervals and other theories of interval estimation (including Fisher's fiducial intervals and objective Bayesian intervals). Robinson [30] called this example "[p]ossibly the best known counterexample for Neyman's version of confidence interval ...
For example, if the mean height in a population of 21-year-old men is 1.75 meters, and one randomly chosen man is 1.80 meters tall, then the "error" is 0.05 meters; if the randomly chosen man is 1.70 meters tall, then the "error" is −0.05 meters.
In just about any discussion of a poll about the very close presidential race between Vice President Kamala Harris and former President Donald Trump, you'll hear the phrase "within the poll's ...
YouGov's reports include a model-based margin of error, which rests on a specific set of statistical assumptions about the selected sample, rather than the standard methodology for random probability sampling.
The results are within the poll’s 4.4 percent margin of… The poll, conducted by USA Today and Suffolk University, found Harris leading with 48 percent to Trump’s 45 percent. Harris and Trump ...
An example of how is used is to make confidence intervals of the unknown population mean. If the sampling distribution is ... Margin of error; Probable error;
The term "sampling error" has also been used in a related but fundamentally different sense in the field of genetics; for example in the bottleneck effect or founder effect, when natural disasters or migrations dramatically reduce the size of a population, resulting in a smaller population that may or may not fairly represent the original one.