Problem 3 Sample Size for Two IndependentSamples Continuous OutcomeComparison between two diets in obese children one low-fat and one low-carb 8week intervention with the outcome of weight lossBased on a similar study in adults, 20 % of the children will not complete the studyFor a 95% confidence interval with a margin of error of no more than 3 lbs., howmany children should be recruited?In the adult trial, the low-fat and low-carb groups had a standard deviations of 8.4and 7.7, respectively and each group had 100 participantsA. Calculate the pooled standard deviation (Sp)B. Calculate the number of children will need to be recruited for the trial if all finish the studyuse the Sp calculated for the standard deviation?C. How many children would be needed to account for 20% attrition?E-3

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Asked Oct 28, 2019
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Problem 3

Problem 3 Sample Size for Two Independent
Samples Continuous Outcome
Comparison between two diets in obese children one low-fat and one low-carb 8
week intervention with the outcome of weight loss
Based on a similar study in adults, 20 % of the children will not complete the study
For a 95% confidence interval with a margin of error of no more than 3 lbs., how
many children should be recruited?
In the adult trial, the low-fat and low-carb groups had a standard deviations of 8.4
and 7.7, respectively and each group had 100 participants
A. Calculate the pooled standard deviation (Sp)
B. Calculate the number of children will need to be recruited for the trial if all finish the study
use the Sp calculated for the standard deviation?
C. How many children would be needed to account for 20% attrition?
E-3
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Problem 3 Sample Size for Two Independent Samples Continuous Outcome Comparison between two diets in obese children one low-fat and one low-carb 8 week intervention with the outcome of weight loss Based on a similar study in adults, 20 % of the children will not complete the study For a 95% confidence interval with a margin of error of no more than 3 lbs., how many children should be recruited? In the adult trial, the low-fat and low-carb groups had a standard deviations of 8.4 and 7.7, respectively and each group had 100 participants A. Calculate the pooled standard deviation (Sp) B. Calculate the number of children will need to be recruited for the trial if all finish the study use the Sp calculated for the standard deviation? C. How many children would be needed to account for 20% attrition? E-3

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Expert Answer

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Step 1

Preliminary calculation:

Using the EXCEL formula “=NORM.S.INV(1-(0.05/2))”, the z-value for 95% confidence level is obtained as 1.96.

Margin of error, E=3.

Step 2

A. Computation of pooled standard deviation:

The pooled standard deviation is obtained as 8.1 (rounded to 1 decimal place), from the calculation given below:

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(-1)s +(n -1)s (т +п, -2) (100-1)(8.4) +(100-1)(7.7) 100 100-2 = 64.925 8.0576

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Step 3

B. Computation of number of children will need to be recruited for a 95% confidence interval with a margin of error of no more than 3 lbs:

The number of children need to be rec...

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2 n=2 E 2 1.96x8.1 =2 3 =56

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