Question

In: Statistics and Probability

How are power, effect size, and sample size related? Distinguish between statistical significance and practical significance....

How are power, effect size, and sample size related?

Distinguish between statistical significance and practical significance.

What is the difference between a critical value and a p-value?

Solutions

Expert Solution

How are power, effect size, and sample size related?

Like statistical significance, statistical power depends upon effect size and sample size. If the effect size of the intervention is large, it is possible to detect such an effect in smaller sample numbers, whereas a smaller effect size would require larger sample sizes.

Distinguish between statistical significance and practical significance.

While statistical significance relates to whether an effect exists, practical significance refers to the magnitude of the effect. However, no statistical test can tell you whether the effect is large enough to be important in your field of study.

What is the difference between a critical value and a p-value?

As we know critical value is a point beyond which we reject the null hypothesis. P-value, on the other hand, is defined as the probability to the right of respective statistics.

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