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[Phys-l] Statistical Illiteracy



If you reply to this long (7 kB) post please don't hit the reply button unless you prune copy of this post that may appear in your reply down to a few relevant lines, otherwise the entire already archived post may be needlessly resent to subscribers.

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ABSTRACT: I copy most of the summary of the article "Helping Doctors and Patients Make Sense of Health Statistics" by Gigerenzer et al., who claim that statistical illiteracy is common to patients, journalists, and physicians; and emphasize the "importance of teaching statistical thinking and transparent representations in primary and secondary education as well as in medical school [since] statistical literacy is a necessary precondition for an educated citizenship in a technological democracy."
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Some subscribers may be interested in a recent article by Gigerenzer et al. (2008) titled "Helping Doctors and Patients Make Sense of Health Statistics."

The summary reads [bracketed by "GGGGGG. . . ."; my EMPHASIS]:

GGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Many doctors, patients, journalists, and politicians alike do not understand what health statistics mean or draw wrong conclusions without noticing. Collective statistical illiteracy refers to the widespread inability to understand the meaning of numbers. For instance, many citizens are unaware that higher survival rates with cancer screening do not imply longer life, or that the statement that mammography screening reduces the risk of dying from breast cancer by 25% in fact means that 1 less woman out of 1,000 will die of the disease. We provide evidence that STATISTICAL ILLITERACY (a) IS COMMON TO PATIENTS, JOURNALISTS, AND PHYSICIANS; (b) is created by nontransparent framing of information that is sometimes an unintentional result of lack of understanding but can also be a result of intentional efforts to manipulate or persuade people; and (c) can have serious consequences for health. . . . . . . .We show that information pamphlets, Web sites, leaflets distributed to doctors by the pharmaceutical industry, and even medical journals often report evidence in nontransparent forms that suggest big benefits of featured interventions and small harms . . . .[see e.g., Smith (2005)]. . . . Without understanding the numbers involved, the public is susceptible to political and commercial manipulation of their anxieties and hopes, which undermines the goals of informed consent and shared decision making.

What can be done? WE DISCUSS THE IMPORTANCE OF TEACHING STATISTICAL THINKING AND TRANSPARENT REPRESENTATIONS IN PRIMARY AND SECONDARY EDUCATION AS WELL AS IN MEDICAL SCHOOL. Yet this requires familiarizing children early on with the concept of probability and teaching statistical literacy as the art of solving real-world problems rather than applying formulas to toy problems about coins and dice. A major precondition for statistical literacy is transparent risk communication. We recommend using frequency statements instead of single-event probabilities, absolute risks instead of relative risks, mortality rates instead of survival rates, and natural frequencies instead of conditional probabilities. Psychological research on transparent visual and numerical forms of risk communication, as well as training of physicians in their use, is called for.

Statistical literacy is a necessary precondition for an educated citizenship in a technological democracy. Understanding risks and asking critical questions can also shape the emotional climate in a society so that hopes and anxieties are no longer as easily manipulated from outside and citizens can develop a better-informed and more relaxed attitude toward their health.
GGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Gigerenzer <http://tinyurl.com/5q7wf> is Director of the Max Planck Institute for Human Development <http://www.mpib-berlin.mpg.de/> in Berlin. For Amazon.com's list of his books see <http://tinyurl.com/6ngte3>.

I thank psychologist Chris Green (2008) for his TIPS [Teaching in the Psychological Sciences <http://www.mail-archive.com/tips%40acsun.frostburg.edu/>] post that brought Gigerenzer et al. (2008) and Smith (2005) to my attention.

Richard Hake, Emeritus Professor of Physics, Indiana University
24245 Hatteras Street, Woodland Hills, CA 91367
<rrhake@earthlink.net>
<http://www.physics.indiana.edu/~hake/>
<http://www.physics.indiana.edu/~sdi/>
<http://HakesEdStuff.blogspot.com/>

REFERENCES
Gigerenzer, G., W. Gaissmaier, E. Kurz-Milcke, L.M. Schwartz, & S. 2008. "Helping Doctors and Patients Make Sense of Health Statistics," Psychological Science In The Public Interest 8(2): 53-96; online at <http://www.psychologicalscience.org/journals/pspi/pspi_8_2_article.pdf> (1.8MB).

Green, C. 2008." Why do we have journals again?" TIPS post of 24 Oct 2008 08:19:19-0700; online at <http://www.mail-archive.com/tips@acsun.frostburg.edu/msg26734.htm>.

Smith, R. 2005. "Medical journals are an extension of the marketing arm of pharmaceutical companies," PLoS Medicine 2(5); online at <http://www.aliveandwell.org/docs/richard_smith_medical_journals.pdf> (388 kB).