How Higher Power Can Make Or Break Statistical Analysis In Mathematics

T/F: higher power gives a better chance of detecting an effect when it is really there.

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True. Higher power increases the likelihood of detecting a true effect in a statistical analysis. Power refers to the sensitivity of a statistical test to detect an effect, given that the effect really exists in the population. A higher power means that the statistical test is more likely to detect a true effect when it actually exists in the population. Therefore, a study with higher power is more likely to produce significant results if there is a real effect to be observed. On the other hand, a low power study is more likely to miss an effect if it exists in the population.

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