# Statistical testing a set of test performances

Suppose I have the average test results for 7 topics (A, B, C, D, E, F) as percentages (avg performance on A is 90%, B is 80%, etc...). I'm looking to analyze these results in a number of different ways, and although I've taken a number of statistics courses, I want to be careful applying what I've learned to a new problem.

The main questions I'm looking to have answered are:

1. Is there a statistically significant variation between groups? (and thus I'd use a one-way ANOVA test)
2. If so, which group(s) is/are significantly different? (this one is a bit harder... not sure how I would analyze this)
3. I'd like to plot CIs for each group, how should I begin to construct these?

Overall, what other methods are at my disposal/am I forgetting?

• When you say groups, does that reflect topics A to F? Or do you have 7 topics each of which has been taken by different groups? – David Ernst Dec 9 '16 at 6:33
• Yes, sorry when I mentioned "groups" I meant the "groups of topics". – sir_thursday Dec 9 '16 at 14:22