References

Albright, S. C. (1993), ``A statistical analysis of hitting streaks in baseball," Journal of the American Statistical Association, 88, 1175-1183.

Albert, J. (1992), ``A Bayesian analysis of a Poisson random effects models for homerun hitters", The American Statistician, 46, 246-253.

Albert, J. (1993), Comment to ``A statistical analysis of hitting streaks in baseball," Journal of the American Statistical Association, 88, 1184-1188.

Barry, D. and Hartigan, J. A. (1993), ``Choice models for predicting division winners in major league baseball," Journal of the American Statistical Association, 88, 766-774.

James, B. (1988), The Historical Baseball Abstract, New York: Villard Books.

Thorn, J. and Palmer, P. (1993), Total Baseball, New York: HarperPerennial.

Tversky, A. and Gilovich, T. (1989), ``The cold facts about the `hot hand' in basketball," Chance, 2, 16-21.

Westcott, R. (1995), Mike Schmidt, New York: Chelsea House Publishing.

 
Figure 1: Time series plot of the dates of all of Mike Schmidt's homeruns. Circled dots correspond to days on which two homeruns were hit. A + symbol corresponds to a three homerun day and a symbol refers to the one day on which Schmidt hit four homeruns.

 
Figure 2: Moving average plots of Mike Schmidt's homeruns using a width of 10 days.

 
Figure 3: Histograms of the sizes of the spacings (in days) between Schmidt's homeruns.

 
Figure 4: Histograms of the minimum season number, the maximum season number, and the 1981 homerun count for the population of consistent hitters. The values of these statistics for Mike Schmidt are indicated on the graph by solid dots.

 
Figure: Histogram of the standard deviations of the two-week homerun

distributions for the population of consistent hitters. The value of the standard deviation of Mike Schmidt's two-week homerun distribution is indicated by a solid dot.

 
Figure 6: Means and standard deviations of the numbers of homeruns for two-week periods plotted against the year for Mike Schmidt.