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Dictionary of Evidence-based Medicine.pdf

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80 <strong>Dictionary</strong> <strong>of</strong> <strong>Evidence</strong>-<strong>based</strong> <strong>Medicine</strong><br />

for this we postulate that the two drugs are <strong>of</strong> equal efficacy. This forms<br />

our null hypothesis which can be written symbolically as:<br />

In a hypothesis test we also have to specify an alternative hypothesis (H a )<br />

which we would accept if our null hypothesis is rejected. The simple<br />

alternative for the above example is that the two drugs do not produce<br />

similar average effects. This can be written as:<br />

In a hypothesis test, we also have to define the significance level <strong>of</strong> the test.<br />

This is the probability at which we would reject the null hypothesis. For<br />

example, we may postulate that the effects <strong>of</strong> the two drugs are normally<br />

distributed. Under this assumption, we may say that if the observed difference<br />

in mean effects <strong>of</strong> the two drugs is so extreme (under our null hypothesis<br />

<strong>of</strong> equipotency) that they would only occur with a probability <strong>of</strong> 0.05<br />

or lower, then we would reject the null hypothesis and accept the alternative<br />

hypothesis. This 0.05 value is what we call the significance level <strong>of</strong><br />

our test (see Li Wan Po A (1998) Statistics for pharmacists. Blackwell Science,<br />

Oxford).

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