would one expect about their scores the second time around? First, it would be pretty surprising if both students got exactly the same scores the second time, so we can be pretty sure that there will be some change. The question is, in what direction will the changes be? It would certainly be surprising if Student 1 did any worse (unless, I suppose, a safe had fallen on his head in the interim); there is really only room for him to improve. So his score will be, in all likelihood, greater than 225. Probably not much greater, but it will be greater and thus it will be closer to the mean. What about Student 2? He doesn’t have very much room to improve (and we can question his judgment about taking the test a second time), so it is most likely that, on the second testing, his score will go down—again, moving closer to the mean score of 500.
Regression to the mean is a nasty little statistical gremlin that can seriously cloud the interpretation of many scientific studies. But, in the present context, it can also lead to incorrect beliefs about whether or not a treatment works. A good example is the fad of using copper bracelets to treat arthritis pain. The pain in arthritis, like the pain in many other pain-causing disorders, waxes and wanes. Sometimes it’s worse; sometimes it’s better. When is it most likely that one will resort to some sort of treatment for arthritis pain? Obviously, when the pain is greater or above average. People are much more likely to use a copper bracelet when they are in greater pain than when they have little pain at all. Thus, over the next few days, by regression to the mean, the arthritis pain is very likely to reduce, for reasons having nothing to do with the copper bracelet. Of course, the placebo effect is also involved in situations like this, as there is a well-known placebo effect for pain (Watkins and Mayer 1986).
Readers should note that people will selectively take legitimate treatments for arthritis, such as aspirin, when the pain is greatest. Does this mean that aspirin effects are just due to regression to the mean? No. Certainly, part of the aspirin effect is due to regression, and part is due to placebo effects—but properly controlled studies have shown that aspirin does actually reduce pain (for example, Berole and Sethna 2002).
All the factors noted above combine to make it very difficult—I would say impossible—for even the brightest, best-intentioned therapist to determine without the aid of procedures like double-blind, placebo-controlled studies whether a therapy really works. There are other factors as well, and for a fine discussion of them, as well as a lengthier consideration of those mentioned here, Beyerstein (2000) is an excellent source. In any event, the complexity of the task of evaluating therapeutic effectiveness should put the lie to the “alternative” medicine claim that one can simply rely on subjective judgments to do the job. In fact, my own view is that it is highly unethical to rely on such judgments. In any area of therapy, one is dealing with very important—sometimes life-and-death- personal issues. To promote a therapy as being effective without being as certain as one can be that it is effective risks the well-being and maybe even the life of the patient. We will see examples of this in the sections below.
Another characteristic of “alternative” medicine is a heavy use of scientific-sounding terms and language, usually involving “energy fields,” “human auras,” and the like. However, the precise meanings of these terms are never specified. That is, the physical characteristics of the fields (i.e., frequency, amplitude, etc.) are not given. An excellent example is given by Raskin (2000) in his discussion of the nursing theory of Martha Rogers. In Rogers’s theory, “a unitary human being is an irreducible, indivisible energy field and a unitary one…. In fact human beings do not have energy fields; they
Andrew Weil, the “alternative” medicine guru mentioned earlier, is right in the mainstream of “alternative” medicine in his use of scientific-sounding jargon. He even invokes quantum physics in the support of his view that the mind can, by itself, cure diseases.
Readers interested in more about the misuse of modern physics to support various paranormal claims will enjoy Stenger’s (1990) “Physics and Psychics.” For a nontechnical description of quantum mechanics and why it is “strange but not as strange as you think,” Lindley’s
HOMEOPATHY
Until the last ten or fifteen years,
As scientific medicine progressed in the twentieth century, it became possible to do more than simple leave the patient alone to heal himself. One could directly target the disease progress, or
Proponents of homeopathy, of course, argue that their approach really does work. As was noted above, the active substance is diluted, usually in water or alcohol. It is often diluted to such an extent that there is not a single molecule of the original substance left in the solution that the patient actually takes. How, then, is the original substance supposed to have any effect? According to homeopaths, as the dilution process progresses, the water (or alcohol) “remembers” the properties of the original substance which is being diluted. It is this “memory” that