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Statistics Plays a Role in ...
(Almost) Everything!
We now live in an
information-oriented society. Massive amounts of data are routinely
collected across many fields. Statistics is the science that transforms
these data into information that is critical for decision making.
Statistics plays a major role in marketing, public policy, social and health
sciences, genetics, brain imaging, speech recognition, computational vision,
and more. Statistics is a vibrant field that is embarking on an even more
exciting journey as we move ahead to the data-rich, information era of the
21st century.
Figure Skating Judging
at the 2002 Winter Olympics
In the Spring 2002 issue of
Chance Magazine, Scott M. Berry, Statistical
Scientist, revisits the
use of ranks in scoring figure skaters. He explores how this system
affected the ordering of American skaters Michelle Kwan and Sarah Hughes in
the women's
singles skating competition at the 2002 Winter Olympics in Salt Lake City,
Utah. "Perhaps the popularity of figure skating derives from its blend of
athleticism and artistry," said
Berry. "However, there were two figure skating controversies at the 2002
Winter Olympics
that did shock
the public." Berry also examines empirical
evidence for judging errors in the pairs skating competition that left two
couples, Berezhnaya-Sikharulidze of Russia and Sale-Pelletier of Canada,
with gold medals.
Sampling Mailrooms for Anthrax
Finding a needle in a
haystack is difficult. Proving that the needle is NOT IN the haystack is
even harder.
Demonstrating with confidence that something is not present became a
critical concern in the Fall 2001, when mail-associated anthrax attacks
struck fear in the US and panic in the capitol. The mailroom serving Senator
Daschle was part of
a network of approximately 3200 other mailrooms.
Contamination of other mailrooms by spores escaping from this or other
letters became a grave concern. However, testing all 3200 or so mailrooms
for anthrax would be expensive, labor-intensive, and too slow to prevent
further cases of this potentially lethal disease. The article investigates
whether a sample could have determined the likelihood of further
contamination, the the conclusion that approximately
3040 of the 3200, or 95% of them, would have to be sampled to give
reasonable ass urances
(i.e. only a 5% chance of incorrectly declaring all sites safe) that there
was no further
contamination. Thus sampling, in this
instance, would not have
saved
much time or
resources. When
investigators aim to find and eliminate all reservoirs of anthrax (or other
lethal hazards), sample sizes are large and exactly proportional to the
level of certainty the investigators wish to be. If
investigators want to be 100% certain there is no needle in a particular
haystack, they have to check the entire haystack.
Imperfections in USGA
Golf Handicap System
Lawrence
L. Kupper has determined through careful statistical analysis that the
handicapping system used by the United States Golf Association (USGA) is
imperfect. (Chance Magazine, Winter 2001). The USGA handicapping
system is designed to level the playing field for amateurs, allowing golfers
of varying ability and consistency to play together with nearly equal
scores. "Our work has demonstrated empirically [using real data] that
golfers who shoot higher scores tend to be more inconsistent than golfers
who shoot lower scores. Since the USGA only uses the lowest 10 of the last
20 adjusted scores (called handicap differentials) to determine a golfer's
handicap, handicaps for poorer golfers are less representative of (i.e.,
unreasonably optimistic about) their true average golfing ability. Hence,
poorer golfers do not get enough handicap strokes under the current USGA
system when competing against better golfers."
SAT and ACT Test Preparation
Derek
Briggs analyzes the effect of SAT and ACT preparation courses on students'
test results (Chance Magazine, Winter 2001). Briggs performed an
in-depth statistical analysis to determine that test preparation has a
limited impact on final test scores. The Scholastic Aptitude Test (SAT)
is scored on two sections, math and verbal, with a total possible score of
1600. Briggs found that coaching seems to help students improve their scores
on the second attempt at taking the test, but only by 14 to 15 points on the
math section and 6 to 8 points on the verbal section. The ACT Assessment
covers four areas: English, mathematics, reading, and science reasoning, and
has a total possible score of 36. ACT coaching was found increase scores on
the math section 0 to 0.4 points and the English section 0.3 to 0.6 points.
Coaching was shown to have a negative effect on the reading section by 0.6
to 0.7 points. Briggs' findings are clearly different from statements made
by commercial coaching companies, who claim that coaching increases test
scores by 100 points or more. "The problem with such claims," according
to Briggs, "is that they are made without reference to a control group.
The effect of coaching can only be estimated by a careful comparison of the
test score gains for coached students relative to uncoached students. The
burden of proof should be on coaching companies to validate their claims
more scientifically."
Predicting the
Unpredictable Election
David Alan Grier, Associate
Professor of Computer Science and International Affairs
at The George Washington University, describes how errors in polls,
especially
election polls, have been controversial, but also how they have helped
strengthen the
tools of social science and increased public understanding of the nature of
statistical studies.
In "Predicting the Unpredictable Election," (Chance Magazine, Spring
2002) David Alan Grier reviews polling
disasters. He also reviews the work of George Gallup and others that have
brought us to a time when it appears we trust election projections more than
we trust the ballot totals.
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