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Statistical Methods in Medical Research 4ed

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The scope of statistics 3<br />

and questions about the aetiology of disease can be tackled by carefully<br />

designed epidemiological surveys (Chapter 19). Secondly, the methods of<br />

statistical <strong>in</strong>ference provide a largely objective means of draw<strong>in</strong>g conclusions<br />

from the data about the issues under research. Both these developments, of<br />

plann<strong>in</strong>g and <strong>in</strong>ference, owe much to the work of R.A. (later Sir Ronald)<br />

Fisher (1890±1962), whose <strong>in</strong>fluence is apparent throughout modern statistical<br />

practice.<br />

Almost all the techniques described <strong>in</strong> this book can be used <strong>in</strong> a wide variety<br />

of branches of medical research, and <strong>in</strong>deed frequently <strong>in</strong> the non-medical<br />

sciences also. To set the scene it may be useful to mention four quite different<br />

<strong>in</strong>vestigations <strong>in</strong> which statistical methods played an essential part.<br />

1 MacKie et al. (1992) studied the trend <strong>in</strong> the <strong>in</strong>cidence of primary cutaneous<br />

malignant melanoma <strong>in</strong> Scotland dur<strong>in</strong>g the period 1979±89. In assess<strong>in</strong>g<br />

trends of this sort it is important to take account of such factors as changes<br />

<strong>in</strong> standards of diagnosis and <strong>in</strong> def<strong>in</strong>ition of disease categories, changes <strong>in</strong> the<br />

pattern of referrals of patients <strong>in</strong> and out of the area under study, and changes<br />

<strong>in</strong> the age structure of the population. The study group was set up with these<br />

po<strong>in</strong>ts <strong>in</strong> m<strong>in</strong>d, and dealt with almost 4000 patients. The <strong>in</strong>vestigators found<br />

that the annual <strong>in</strong>cidence rate <strong>in</strong>creased dur<strong>in</strong>g the period from 3 4to71 per<br />

100 000 for men, and from 6 6to104 for women. These f<strong>in</strong>d<strong>in</strong>gs suggest that<br />

the disease, which is known to be affected by high levels of ultraviolet radiation,<br />

may be becom<strong>in</strong>g more common even <strong>in</strong> areas where these levels are<br />

relatively low.<br />

2 Women who have had a pregnancy with a neural tube defect (NTD) are<br />

known to be at higher than average risk of hav<strong>in</strong>g a similar occurrence <strong>in</strong> a<br />

future pregnancy. Dur<strong>in</strong>g the early 1980s two studies were published suggest<strong>in</strong>g<br />

that vitam<strong>in</strong> supplementation around the time of conception might<br />

reduce this risk. In one study, women who agreed to participate were given<br />

a mixture of vitam<strong>in</strong>s <strong>in</strong>clud<strong>in</strong>g folic acid, and they showed a much lower<br />

<strong>in</strong>cidence of NTD <strong>in</strong> their subsequent pregnancies than women who were<br />

already pregnant or who decl<strong>in</strong>ed to participate. It was possible, however,<br />

that some systematic difference <strong>in</strong> the characteristics of those who participated<br />

and those who did not might expla<strong>in</strong> the results. The second study<br />

attempted to overcome this ambiguity by allocat<strong>in</strong>g women randomly to<br />

receive folic acid supplementation or a placebo, but it was too small to give<br />

clear-cut results. The <strong>Medical</strong> <strong>Research</strong> Council (MRC) Vitam<strong>in</strong> Study<br />

<strong>Research</strong> Group (1991) reported a much larger randomized trial, <strong>in</strong> which<br />

the separate effects could be studied of both folic acid and other vitam<strong>in</strong>s.<br />

The outcome was clear. Of 593 women receiv<strong>in</strong>g folic acid and becom<strong>in</strong>g<br />

pregnant, sixhad NTD; of 602 not receiv<strong>in</strong>g folic acid, 21 had NTD. No<br />

effect of other vitam<strong>in</strong>s was apparent. <strong>Statistical</strong> methods confirmed the<br />

immediate impression that the contrast between the folic acid and control

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