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Using randomizations to assess assortativity

In this exercise you will determine how likely the observed assortativity in the friendship network is given the genders of vertices by performing a randomization procedure. You will randomly permute the gender of vertices in the network 1000 times and recalculate the assortativity for each random network.

This exercise is part of the course

Network Analysis in R

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Exercise instructions

  • Use assortativity() to calculate the assortativity of the graph object g1 based on gender using the object values calculated in the previous exercise, and assign this to the object observed.assortativity.
  • Inside the for loop calculate the assortativity of the network g1 using assortativity() while randomly permuting the object values each time with sample().
  • Plot the distribution of assortativity values from this permutation procedure using hist() and add a red vertical line for the original g1 network observed assortativity value that is stored in observed.assortativity.

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Calculate the observed assortativity
observed.assortativity <- ___(g1, values)

# Calculate the assortativity of the network randomizing the gender attribute 1000 times
results <- vector('list', 1000)
for(i in 1:1000){
  results[[i]] <- ___(g1, sample(___))
}

# Plot the distribution of assortativity values and add a red vertical line at the original observed value
___(unlist(results))
abline(v = ___, col = "red", lty = 3, lwd=2)
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