For those of you who teach Statistics or Research Methods or who like to
think or teach about critical thinking about the use of statistics, there is
a good article by Joel Best in the Chronicle of Higher Education that can be
accessed at:

http://chronicle.com/free/v47/i34/34b00701.htm

I think it provides a very useful brief introduction to the value of
learning statistics from a liberal arts perspective that could be given to a
class early in the semester. There is a very good discussion of the balance
I try to maintain somewhere between cynicism and credulity towards
statistics in many of my classes but it is most apparent in my Psychological
Testing class. In Psych Testing, I try to make the point over the semester
that, simply put, psychological tests are not perfect but are, in many
cases, better than the alternatives (personal biases, unstructured
interviews, nepotism, etc.) Imagine my frustration when one of the best
students in the department wrote the following, at the end of the semester,
on a discussion thread about the future of testing.

"It may be that the people who are horrible test takers could also be the
perfect individual that a company might need but they won't hire them based
on their test score. If the false positives and false negatives could ever
be totally eliminated then it would be fair but its really not. They don't
use lie detectors as evidence in court b/c they are not 100% accurate so why
base a judgment of whether a person should pass or not or get a job or not
on something that is not 100% accurate?"

The article approaches this from a very balanced perspective. Best writes,
"Being critical means appreciating the inevitable limitations that affect
all  statistics, rather than being awestruck in the presence of numbers. It
means not being too credulous, not accepting every statistic at face value.
But it also means appreciating that  statistics, while always imperfect, can
be useful. Instead of automatically discounting every statistic, the
critical reserve judgment. When confronted with an interesting number,  they
may try to learn more, to evaluate, to weigh the figure's strengths and
weaknesses."

I use my own version of Tipster Beth Benoit's very useful Baseless Science
Detector in my Research Methods classes and I think the following paragraphs
from this article could make a very additional tool for thinking critically
about the use of statistics. In fact, the two have many points of agreement.

"It would be nice to have a checklist, a set of items we could consider in
evaluating any statistic. The list might detail potential problems with
definitions, measurements, sampling, mutation, and so on. These are, in
fact, common sorts of flaws found in many statistics, but they should not be
considered a formal, complete checklist. It is probably impossible to
produce a complete list of statistical flaws -- no matter how long the list,
there will be other possible problems that could affect statistics.

The goal is not to memorize a list, but to develop a thoughtful approach.
Becoming critical about statistics requires being prepared to ask questions
about numbers. When encountering a new statistic in, say, a news report, the
critical try to assess it. What might be the sources for this number? How
could one go about producing the figure? Who produced the number, and what
interests might they have? What are the different ways key terms might have
been defined, and which definitions have been chosen? How might the
phenomena be measured, and which measurement choices have been made? What
sort of sample was gathered, and how might that sample affect the result? Is
the statistic being properly interpreted? Are comparisons being made, and if
so, are the comparisons appropriate? Are there competing statistics? If so,
what stakes do the opponents have in the issue, and how are those stakes
likely to affect their use of statistics? And is it possible to figure out
why the statistics seem to disagree, what the differences are in the ways
the competing sides are  using figures?"

Ironically, I think such a list would make a pretty good checklist and I may
create an assignment around this for my stat class similar to the Baseless
Science Detector assignment in my Research Methods class.

Rick

Dr. Richard L. Froman
Psychology Department
John Brown University
Siloam Springs, AR 72761
e-mail: [EMAIL PROTECTED]
http://www.jbu.edu/sbs/psych/froman.htm

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