I vaguely recall using those tests before but not for the purpose of correcting data. I'll need to look for a resource to explain how these corrections should be done (any suggestions?).
Thanks again.
Thank you very much for your reply.
So the difference between the first equation (4.19) and the second (4.22 into 4.23) is that the first equation (given precisely known variances) will produce the exact variance of the weighted mean but the second equation will produce an estimate of the...
Further information:
Equation 4.19 was derived by applying the error propagation equation:
to the equation for the weighted mean:
https://www.physicsforums.com/attachment.php?attachmentid=30258&d=1291222596.
On the other hand, the substitution of Equation 4.22 into Equation 4.23...
I'm trying to decide on a method for calculating a weighted mean for my data.
In Bevington's Data Reduction and Error Analysis for the Physical Sciences 2nd Ed. Equation 4.19, the variance of the weighted mean is:
However, Bevington also suggests the use of Equation 4.22 substituted...