What I Do the First Day of Statistics
Class
Main Goals:
First Homework.
First Day of Lab
Advice for Succeeding in the Course
To give students a flavor of what to expect in the course I discuss
a series of myths and realities.
The Myths:
- Statistics is a Math Course
Reality 1
- It's completely impossible for me to get a good grade for
this course Reality 2
- This course will be a cakewalk Reality 3
- I can continue to cram for an exam the night before
Reality 4
- Statistics is memorizing formula
Reality 5
- There is usually one specific answer (London Newspaper
Election Poll)Reality 6
- The teacher is going to physically harm me if I ask a stupid
questionReality 7
- Statistics is not interesting and I will never use it
Reality 8
I try to let them know that the course is a General Education
course that also emphasizes reading numerical discussions, writing
technical arguments, and reasoning statistically instead of plugging
numbers into formulas. Computers can now do all the number crunching
so our role has changed to telling the computer the right thing
to do and then interpreting that output. They will also need to
be able to justify their answers since mutliple interpretations
are quite possible. I also try to convey that Statistics will
be important no matter what career they choose, but also just
for evaluating information in the newspaper. To study the material,
I encourage them to approach it like a foreign language: immersing
yourself in the use of the terms, constantly practicing with others.
Also, since the student body taking the course is so diverse,
I encourage them to work with others and share their perspectives.
At the end I tell them my first goal of the course is for them
to examine statistics with a critical eye (instead of accepting
whatever numbers they hear) and to become intelligent consumers
of statistical arguments.
Examples of Uses of Statistics
Instead of giving students a definitive definition of Statistics,
I want them to discover what the field is about through a series
of examples. I present the following points on overheads and have
the class explain to me how they feel about the statements - if
they feel they are effective uses of information. Through discussion,
students find faults with each of the statements and build a list
of things to look for when evaluating statistical arguments. Most
of these examples are borrowed from Chapter 3, Section 4 of Concepts
and Controversies by David Moore, 3rd edition. Moore has
an excellent discussion on how to "look at data intelligently".
The italics refer to actual news articles.
- True cigarettes have 5 milligrams less tar
- Anacin contains more of the ingredient doctors recommend most/Doctors
specify Bufferin the most over other leading brands.
- Dr. Bragg claims his patients have 50% fewer cavities.
- GM advertises that JD Power picks the Lumina Coupe as the
most trouble-free car in its class
- Science (1976): People over 65, now numbering 10 million,
will number 30 million by the year 2000, and will constitute an
unprecedented 25 percent of the population.
- Dr. Fudge took measurements for 20 animals, recording the
number of successful trials. He reported percentages of 53, 58,
63, 46, 48, and 67.
"Bosnia voter turnout 103.9% according to watchdog group"
- The Alabama Development Office reports that the state has
attracted 422,657 new industrial jobs in the past 25 years.
- The unemployement rate is 7.1%
- In 1989, 5326 drivers 65 years of age and over were involved
in fatal accidents. In contrast, only 2900 drivers aged 16 and
17 had fatal accidents. Thus, young people are safer drivers.
"I may go on forever because Statistics show that few
men die after the age of 100" - Amos Alonzo Stagg
Sports and the emergency room
Swifta, Higha, Stronga - US wins most Olympic medals
South Dakota has the highest average SAT score
- The Investment Company Institute claims a $10,000 investment
in 1950 in an average common stock mutual fund would have increased
to $113,500 by the end of 1972.
- Schick Super chromium razor blades commercial: A group of
barbers shave with the same blade, one after the other. The 12th,
13th, 15th, and 17th men to use the blade were interviewed and
said the shave was satisfactory.
- "Heavy usage of marijuana hurts thinking"
Explanations of the Misuses
I point out that even the experts make mistakes, discussing the
Challenger Accident and showing them a picture of the "Dewey
Defeats Truman" headline which is discussed later in
the course.
Then I assure them that there plenty of good uses of statistics.
I tell them some recent studies, e.g.:
- Was vaccine responsible for recent cases of polio
- Is there a genetic link to cancer
- Do lifestyle changes reduce the risk of heart disease
- What's the increase risk in car accidents from talking on
a cellular phone
- Does walking by a store with a pleasing smell (e.g. Cinnabon)
make people feel more charitable?
- Has the change in speed limit in California affected the rate
of highway accidents
and tell them about some of my own recent consulting activities:
- NCAA survey
- Availability of pharamcists, with and without principal care
providers (with K. Knapp, Pharmacy)
- How are housing prices affected by proximity to toxic waste
sights (with J. Knight, Business)
- Does a visual, interactive explanation of statistical concepts
improve student learning? (with R. delMas, J. Garfield, U Minn)
- How to decide wich books should be ordered for the university
library (with B. Parker, Libarary Sciences)
- Identifying when and how students choose their major (with
J. Ross, Engineering)
The first homework assignment
I assign is for them to find 3 uses of statistics in the news
and comment on whether they think it is a good use or a bad use.