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8 points) The following historical dataset is famous in the field of statistics ever since it was used by Brad Efron and Carl Morris to
8 points) The following historical dataset is famous in the field of statistics ever since it was used by Brad Efron and Carl Morris to illustrate the James-Stein estimator and the Stein shrinkage phenomenon (see, for example, the Scientic American paper titled "Stein's Paradox in Statistics" by Efron and Morris, or Section 1.2 of Efron's book on Large Scale Inference). In baseball, an at-bat (AB) is a hitter's turn batting against a pitcher. In each at-bat, the hitter can reach (or pass) first base on a hit (H). Batting average is used to measure a hitter's success and is calculated as the fraction AVG = H AB . The baseball.csv dataset (shown in Table 1) contains 18 rows and 3 columns. Each row represents a baseball player and contains the following information: The player's name The player's number of hits (H) in the first 45 at-bats (AB) The player's End of Season Batting Average (EoSAverage), calculated as the proportion of hits over the total number of at-bats over the entire season For example, the first row shows that Clemente had 18 hits in his first 45 at-bats and a .346 EoSAverage. The goal is to use the
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