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Project Summary

Difficulty  8 
Time required Average (about one week)
Prerequisites Basic knowledge of Microsoft Excel and statistics
Material Availability Readily Available
Cost Very Low (under $20)

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Sponsor

Sponsored by a generous grant from Motorola

Abstract

Here's a project that will teach you about math as you follow some of your favorite players or teams. You'll be comparing day-to-day performance with long-term averages, and trying to determine if the "streaks" and "slumps" over shorter time periods are due to random chance or something else. When you've finished, you'll have a better understanding of some important concepts in statistical analysis and baseball.

Objective

The objective of this project is to determine if baseball players and/or teams are "streaky" or if their ups and downs can be explained simply by random luck.

Introduction

If a player goes 0-for-20, does that mean anything? Using probability theory, how often would you expect a .275 hitter to go 0-for-20? How much can streaks be explained by luck alone, and how much are they affected by a player? As for teams, do their runs of wins and losses mean anything?

Terms, Concepts and Questions to Start Background Research

Probability theory

Experimental Procedure

Select a group of regular players and get their game logs from ESPN.com. Look at moving averages of their batting average over 2, 3, 4 or 5 games. Estimate the probability that they would exhibit this performance based on their career and season statistics. Or do the same for teams.

Variations

For the team study, adjust their probability of winning by their opponents winning percentage.

Credits

Gabriel Desjardins


Last edit date: 2005-08-31 15:03:26


Career Focus

If you like this project, you might enjoy exploring careers in Pure Mathematics.

Statistician
Statisticians use the power of math and probability theory to answer questions that affect the lives of millions of people. They tell educators which teaching method works best, tell policy-makers what levels of pesticides are acceptable in fresh fruit, tell doctors which treatment works best, tell builders which type of paint is the most durable. They are employed in virtually every type of industry imaginable, from engineering, manufacturing, and medicine to animal science, food production, transportation, and education. Everybody needs a statistician!
 



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