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Health Risks of Ionizing Radiation: - Clark University

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10 Introduction<br />

precision to detect low-dose effects.<br />

P-value. As we discussed above, there is<br />

considerable uncertainty in any study <strong>of</strong> low-dose<br />

radiation and in epidemiologic studies generally. To<br />

deal with this problem there are statistical ways <strong>of</strong><br />

describing how well we know what we know. The<br />

simplest way is to say whether a result is significant<br />

or not. This is accomplished with the p-value, which<br />

gives an estimate <strong>of</strong> the probability that the result<br />

occurred by chance. A p-value <strong>of</strong> 0.01, for example,<br />

indicates that the result could have happened by<br />

chance only 1 out <strong>of</strong> 100 times. The results <strong>of</strong> a<br />

study are <strong>of</strong>ten given with an indirect reference to<br />

the p-value by saying that the p-value is less than<br />

some threshold (0.1, 0.01, 0.05, etc.). This is done<br />

to demonstrate that the result passes the significance<br />

test. The threshold for significance, as we mentioned<br />

above, is usually a 5% probability <strong>of</strong> the result<br />

occurring by chance, and so a p-value less than 0.05<br />

is generally indicative <strong>of</strong> a significant result.<br />

Confidence interval. A confidence interval<br />

gives a range <strong>of</strong> possible results, and for some<br />

purposes this is more informative than the ‘best<br />

guess’. This range <strong>of</strong> possibilities could theoretically<br />

extend into infinity and so it is usually truncated<br />

at some predetermined level <strong>of</strong> certainty. A 95%<br />

confidence interval, for example, will include the<br />

range within which we are 95% sure the true answer<br />

lies. The confidence interval typically follows a risk<br />

estimate in the following manner: RR 2.13 (95% CI<br />

2.00-2.26). This means that the true relative risk is<br />

probably between 2.00 and 2.26, the author is 95%<br />

sure that it is, and the most likely estimate is 2.13.<br />

The confidence interval gives us a shortcut to<br />

assessing the significance <strong>of</strong> a result. Consider a<br />

relative risk. A relative risk <strong>of</strong> 1 signifies that an<br />

exposed group has the same risk as a control group<br />

and there is thus no evidence <strong>of</strong> an additional risk. If<br />

we have a relative risk <strong>of</strong> 1.01, and a 95% confidence<br />

interval <strong>of</strong> 0.98-1.08, then we have a positive<br />

result but not a significantly positive result. This is<br />

because our range <strong>of</strong> possibilities, indicated by our<br />

confidence interval, includes the possibility that there<br />

is no additional risk (RR=1) and even the possibility<br />

that the exposure decreased our risk (RR

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