Fisher invented brilliant mathematical techniques to reduce large amounts of data to a small set of sufficient statistics, to make analysis possible. These are now obsolete because amazing advances in computational capabilities enable direct analysis of large data set. We need to rebuild the discipline on new foundations, as described in post linked below.
[bit.ly/dsia05D] – Part D of Lec 5:Descriptive Statistics-An Islamic Approach. In previous lectures, we have explored some of the reasons why foundations of modern statistics constructed by Sir Ronald Fisher are deeply flawed. In this lecture we explain the basics of our alternative approach to the subject.
This lecture will explain how we can re-build Statistics on new foundations. To do this, we will first explain the foundations of conventional statistics – which may be called “nominalist” or Fisherian statistics. Then we will explain the alternative approach we propose, naming it REAL statistics. Our goal in this lecture is to provide clarity on the differences between the two approaches.
The Fisherian approach is based on fancy mathematical models, which are purely IMAGINARY – That is, the models come from the imagination of the statistician, and have no corresponding object in reality against which they can be verified. A Fisherian MODEL…
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