Power (1 of 3)
Power is the probability of correctly rejecting a false
null
hypothesis. Power is therefore defined as: 1 -
b
where
b is the
Type II
error probability. If the power of an experiment is low, then there
is a good chance that the experiment will be inconclusive. That is why
it is so important to consider power in the design of experiments. There
are
methods for estimating the power of an experiment
before the experiment is conducted. If the power is too low, then the
experiment can be redesigned by changing one of the
factors
that determine power.
Consider a hypothetical experiment designed to test whether rats brought up in
an enriched environment can learn mazes faster than rats brought up in the typical
laboratory environment (the control condition). Two groups of 12 rats each are tested.
although the experimenter does not know it, the
population
mean number of trials it takes to learn the maze is 20 for the enriched condition
and 32 for the control condition. The null hypothesis that the enriched environment
makes no difference is therefore false.