What Could We Do better? Alternative Statistical Methods. Jim Crooks and Xingye Qiao. Review of the Statistical Model. We take measurements of the beam displacement, y, at times t 1 ,…,t n What we actually observe is ỹ which is a noisy version of y, or
Jim Crooks and
So we could write:
independent over time and replicate
where N(x;m,s2) denotes the normal density with mean m and variance s2 evaluated at x.
where n is the number of data points and df is the number of ‘degrees of freedom’ (AKA the number of unknown parameters)