Which of the following accurately describes the relationship between the various
ID: 3296012 • Letter: W
Question
Which of the following accurately describes the relationship between the various parameters incorporated in the formula for calculating the power of an independent sample t test?
1.
As the sample size increases, the power of your test decreases
2.
As the null value for the difference in averages between groups decreases, so too does the power
3.
As the Z value approaches virtual certainty, the power of your test will always increase
4.
As the pooled standard deviation estimate increases, your power decreases
1.
As the sample size increases, the power of your test decreases
2.
As the null value for the difference in averages between groups decreases, so too does the power
3.
As the Z value approaches virtual certainty, the power of your test will always increase
4.
As the pooled standard deviation estimate increases, your power decreases
Explanation / Answer
Sample size is proportional to the power and pooled standard deviation is inversely proportional to the power. The null value for the difference in averages between groups decreases means power will increase. As the Z value approaches virtual certainty, power will decrease.
Hence, Option(4) is the correct choice. (Ans).
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