Tennis (ATP) Top 15 as on February 2020

I re-ranked the Top 15 ATP ranks using a Head-to-Head Paired Comparison approach. For each player, P is the number of wins, W the number of losses.

In tennis there are no ties, hence P+W is the number of matches played and hence the Quantity term. I have used P-W as the Quasity term. The quality term is then simply PWD= (P-W) / (P+W). In paired comparison, there is a concept known as recursive iteration or repeated improvement. Thus after 8 iterations of the eigenvector computation, we get a reasonably converged quality vector.

What we have here is the ranking just after the recent Australian Open. On HtH, Rafael Nadal still has the slightest of edges over Novak Djokovic.

Based on data from: http://tennisabstract.com/reports/h2hMatrix.html