Area compatibility factor

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In survival analysis, the area compatibility factor, F, is used in indirect standardisation of population mortality rates.

F = \frac{\sum_x {}^sE_{x,t}^c {}^sm_{x,t}}{\sum_x {}^sE_{x,t}^c} \left/
\frac{\sum_xE_{x,t}^c {}^sm_{x,t}}{\sum_x E_{x,t}^c}\right.

where:

{}^sE_{x,t}^c is the standardised central exposed to risk from age x to x + t for the standard population,
E_{x,t}^c is the central exposed to risk from age x to x + t for the population under study and
smx,t is the mortality rate in the standard population for ages x to x + t.

F is then multiplied by the crude mortality rate to arrive at the indirectly standardised mortality rate.