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Dictionary of Evidence-based Medicine.pdf

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<strong>Dictionary</strong> <strong>of</strong> <strong>Evidence</strong>-<strong>based</strong> <strong>Medicine</strong> 121<br />

Phase I studies (see Drug development)<br />

Phase II studies (see Drug development)<br />

Phase III studies (see Drug development)<br />

Phase IV studies (see Drug development)<br />

PK-PD modelling (see Pharmacokinetic-pharmacodynamic<br />

modelling)<br />

Point prevalence (see under Incidence)<br />

Poisson distribution<br />

The random variable X representing the number <strong>of</strong> events (x = 0, 1,..)<br />

occurring by time t in a Poisson process with mean rate X has a Poisson<br />

distribution with parameter Id as described in the following equation:<br />

The Poisson distribution can be used to model distribution <strong>of</strong> events not<br />

only in time but also in space. It has been used to model the occurrence <strong>of</strong><br />

adverse drug reactions. The mean and variance <strong>of</strong> a Poisson distribution<br />

are both given by |a = \t.<br />

The Poisson distribution is an approximation to the binomial distribution<br />

B(n, *pi ) where n is the number <strong>of</strong> trials and ^ is the probability <strong>of</strong><br />

success in each trial.<br />

Poisson process<br />

A Poisson process is one in which events occur spontaneously, at random,<br />

in time. Many phenomena <strong>of</strong> biological or medical interest can be modelled<br />

using the Poisson process (e.g. number <strong>of</strong> accidents per day). A Poisson<br />

process is specified by three postulates: (i) the probability <strong>of</strong> an event<br />

occurring during any small interval (t,t + St) is equal to (8t) \8t + o(8t)

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