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I have attached the problem below. You may have to download G power which is a free software to complete the problems.
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RSCH 665 – Module 8
Sample Size and Power
Question 1: (25 points)
You wish to conduct an ANOVA (one-way/omnibus) in your ASCI 691 capstone project. To
ensure you have enough power to detect differences in your sample, you need to run a power
analysis in G*Power. Assume that you are expecting a medium effect size, α = 0.01, and a
minimum power of 0.90. Your experiment utilizes three (3) groups. What is the required sample
size (a priori)? How many data points should exist in each group? Show your output from the
G*Power software.
Question 2 (25 points):
You conducted a Chi-Square Goodness of Fit Test in your ASCI 691 capstone project.
Unfortunately, you did not get the sample size you had hoped for during your research. You
were able to get 67 in the sample. Calculate your actual power (post hoc). You did a 2 X 2 table.
Assume you had a medium effect size. Show your output from the G*Power software.
Question 3 (25 points):
You conducted a t-test in your 691 capstone research. You found a statistically significant
difference between your groups even though your sample size was relatively small. Upon
conducting a post hoc power analysis, you found that your actual power was 0.85. What should
you do? Is there a problem with having a power less than 0.90 when you have significant
differences?
Question 4 (25 points):
You conducted a t-test in your 691 capstone research. You did not find a statistically significant
difference between your groups, even though your sample size was relatively small. Upon
conducting a post hoc power analysis, you found that your actual power was 0.37. What should
you do? Is there a problem with having a power less than 0.80 when you do not have significant
differences?
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