Comparing groups
One common task in statistical analysis is to compare groups; for example, we may be interested in how well a patient responds to some drug, the reduction of car accidents by the introduction of a new traffic regulation, or students' test responses under different teaching approaches, and so on. Sometimes this type of question is framed under the hypothesis-testing scenario, with the goal of declaring a result statistically significant. Relying only on statistical significance can be problematic for many reasons: on one hand, statistical significance is not necessarily practical significance; on the other, a really small effect can be declared significant just by collecting enough data. Also, the idea of statistical significance ...
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