# Finding Balance in Network of Friendships

I have a couple of data points on a large group of high school students:

A: Who their Friends are

B: Strength of Friendship for each friend (out of 5, 5 being best friends and 1 being acquaintances)

C: Grade Point Average for each student

To start, I want to confirm the "popular kids hangs out with other popular kids" phenomenon, I've aggregated the dataset and now I have all student and their friend count. What would be my next step? What kind of model should I be using to confirm the "popular kids" phenomenon. Next, I hypothesize that "high GPA kids hang out with other high GPA kids", which model should I use here?

Apologies if this is an easy question, I'm new to network analysis and not sure where to start.

• I would cluster first, then find mean and standard deviation of grades between various clusters. Here is how I would cluster: stats.stackexchange.com/questions/139490/… There are statistical tests to say "if mean is mu, standard deviation is sigma, and number of samples is n" is it more likely than not to come from the same distribution as mu_2, sigma_2 and n_2. – EngrStudent Dec 8 '16 at 3:09
• It's not clear how that would test the hypothesis, which is about tie formation between individuals. With clusters, it may happen the clusters themselves are assortative but all have the same mean, or that the clusters are not assortative but have different means due to some unrelated population variation. – samplesize1 Dec 8 '16 at 22:37