A) 4 with power .80 B) 8 with power .80 C) 8 with power. 50 D) 10 with power .80

ID: 3361490 • Letter: A

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A) 4 with power .80 B) 8 with power .80 C) 8 with power. 50 D) 10 with power .80 .93 l0l effect will b effect and about only about forty times in one hundred, while a ten-point ninety-five times in one hundred. detected ab Practical considerations, such as limitations in money or facilities reduction (always painful) in the prescribed sample size of 29. uhc specifications represent our best judgment about an appropriate sam ally is latitude for compromise. Forexample, referring to Figure I sze, h the properties of the lower (broken line) power curve for a smaller sam (Ordinarily, to minimize the loss of power, we probably would have cons Although the onig le size, there w u7 we could cons We coulde idertet we Power Curve for 1-Sample z Test 1.0 Sze 29 0.8 Alpha 005 StDev 15 0.6 0.4 0.2 0.0 0 2 4 6 810 12 14 Difference (Effect Size) FIGURE 11.7 Power Curve by Minitab for Vitamin C experiment, given n and n = 13 (broken line). 29 (solid line) power primer. Pyche For more information about power curves, see Cohen, J. (1992). A logical Bulletin, 112, 155-159.

Explanation / Answer

The existing graphs indicate that more the sample size the steeper the power curve in its first half and flatter in the later half.

For each of the cases we will see on y-axis the power required to attain and from x-axis the effect size. then will see from the 2 curves what is the range of the sample size needed. If the pair (x,y) is below the n=13 curve then sample size required is <13 , if (x,y) lie between 13 and 29 curve then sample size reqd is between 13 and 29 and so on.

(a) x= 4 and power = 0.8.

Now (4,0.8) lie above the 29-curve. So sample size needed is >29

(b) x=8 with power 0.8. So (x,y) = (8,0.8) which lie between the 2 curves. HEnce sample size needed is between 13 and 29

(c) x=8 with power=0.5. So the point is (8,0.5) which lie between the 2 curves. So sample size needed is between 13 and 29

(d) x=10 with power = 0.8. So the point is (10,0.8) which lie between the 2 curves. So required sample size is between 13 and 29.

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A) 4 with power .80 B) 8 with power .80 C) 8 with power. 50 D) 10 with power .80

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