Power of a test
Definition
The power of a statistical test is the probability that it correctly rejects the null hypothesis when the alternative hypothesis is true. In other words, it measures the ability of a test to detect an effect or difference if one truly exists.
Analogy
Imagine you have superpowers and you want to prove it to your friends. The power of your test would be how likely you are to successfully demonstrate your superpower abilities when they are actually real.
Related terms
Type I Error: This occurs when we reject the null hypothesis even though it is true. It's like accusing someone of stealing without any evidence.
Type II Error: This occurs when we fail to reject the null hypothesis even though it is false. It's like letting a guilty person go free because there wasn't enough evidence against them.
Effect Size: This refers to the magnitude or strength of an observed effect in a study. It helps us understand how meaningful or important the results are in practical terms.
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