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Last Published December 02, 2020 10:59 AM December 02, 2020 11:57 AM
Planned Number of Clusters 54 discussion sections. 109 discussion sections.
Planned Number of Observations 1,000 students in data collection phase and 300 students in the experimental phase. Actual numbers depend on fractions of students who consent to participate and fraction scoring sufficiently low on the first exam. 2,000 students in data collection phase and 600 students in the experimental phase. Actual numbers depend on fractions of students who consent to participate and fraction scoring sufficiently low on the first exam.
Sample size (or number of clusters) by treatment arms 100 in each treatment arm and 100 in control for a total of 300. 200 in each treatment arm and 200 in control for a total of 600.
Power calculation: Minimum Detectable Effect Size for Main Outcomes With standard errors clustered at discussion section level, we can detect an effect of 4 percentage points for overall course score 80 percent of the time. This assumes a standard deviation of 9 in overall course scores. We can detect an effect in office hour visits of 0.75, with standard deviation of 1.7. We can detect an effect of 6 percentage points on the second exam, with standard deviation 14.5. With standard errors clustered at discussion section level, we can detect an effect of 2.8 percentage points for overall course score 80 percent of the time. This assumes a standard deviation of 9 in overall course scores. We can detect an effect in office hour visits of 0.53, with standard deviation of 1.7. We can detect an effect of 4.2 percentage points on the second exam, with standard deviation 14.5.
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