Average Path Length, Transitivity and Reciprocity, Erdos-Renyi Model - Statistics Assignment Help

Assignment Task

average path length, transitivity. and reciprocity

Consider the overall metrics (density, average path length, transitivity. and reciprocity) for the four subject networks (1. humanities and arts. 2. social sciences, business and science. mathematics and computing, 4. engineering, manufacturing and construction). I the four networks compare to each other?

Compare each subject network to a random r with the same number of nodes and edges. created with the Erdos-Renyi model. What d. compansons tell you about the nature and structure of the relationships among the universe your answer, make sure to define each of the metncs and give an intuitive interpretation fo Which do you see as the most influential universities in the student exchange network? two potential meanings of "influence." as proxied by different centrality measures. Just choice of each centrality measure. In that justification, present clear interpretations of wK centrality measure is capturing about the position of the universities.

Calculate both of your centrality measures on the main network and identify the university that has the highest v each. Then. consider the LSE and the other London universities included in this networ Imperial. Kings. and Queen Mary). Plot histograms of your two chosen centrality measure overlay vertical lines demarcating the values for each of the London universities. How di LSE compare to the other London universities? Make explicit reference in your respoi concepts related to node centrality covered in the course material. [Note that if you use edge for a centrality measure, you need to identify how the calculation interprets those weights higher values mean stronger connections or greater distance?); in those cases where the rr assumes that higher values mean greater distance, you should use 1/weight in the calcula Visualize the degree distributions of the four subject networks. To facilitate comparison. all four distributions on the same plot. You should also consider how to modify the plot (lo cumulative distribution. etc.) to make it more legible. Describe the distributions you obser discuss the differences between the different subjects. Redo the analyses in problem 1 ab using the configuration model (instead nyi model). Discuss how the resul from those in problem 1 and explain w — Q ferences. What does the comparis the configuration model tell us about t 
 

    
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