Suppose we have a set of measurements of n quantities, x_{i}
(i = 1 to n) each with a standard deviation s_{i},
and true mean m_{i}. We can calculate a quantity called chi-squared, defined as
. We
will look at a simple example. Here the measurements are of the same quantity, i.e. a single
parameter, so m_{i }=_{ }m
independent of x_{i }. Therefore See
how C^{2}
varies with assumed value for m: Vary the
value on the x_{i }plot (up or down). Find m
for the minimum C^{2}, it should equal the weighted mean. |