8.24 Table 8.19 summarizes results of tennis matches for several women professional players between 2003 and 2005.
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8.24 Table 8.19 summarizes results of tennis matches for several women professional players between 2003 and 2005.
a. Fit the Bradley–Terry model. Report the parameter estimates, and rank the players.
b. Estimate the probability that Serena Williams beats Venus Williams.
Compare the model estimate to the sample proportion.
c. Construct a90%confidence interval for the probability that SerenaWilliams beats VenusWilliams. Interpret.
d. Showthat the likelihood-ratio test for testing that all βi = 0 has test statistic 2.6, based on df = 4. Hence, it is plausible, based on this small sample, that no differences exist among the players in the chance of victory.
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