Wednesday, December 10, 2014
Error Distribution for the Standard Deviation 2
The two extra degrees of freedom in the standard deviation discussed in the last blog appear to be due to the use of the average of the xk in the datasets for the computation of the observed values. If one uses the known value, μx, instead the observed and calculated curves fit quite well with n as the number of degrees of freedom. The observed values shift to the left when the averages are used to estimate the distribution mean.