Importance of Exchangeability in Simple Mixed Models

Introduction
    Background and Literature Review of Exchangeability will be in the introduction part.

Topics
    Three aspects of exchangeability will be discussed:
   1.) Exchangeability, partial exchangeability and its' relation to Fisher's "population" and  "subpopulation".
   2.) Importance of exchangeability in Frequentist view and Bayesian view.
   3.) Exchangeability in Simpson's Paradox.

Reference
     All the references in this study will be listed. A link to Lindley and Novick's paper "The role of exchangeability in statistical analysis" will be given.

Appendix
     Some additional information and mathematical theorems or formulas used in this study, such as Bayes theorem will be put in this part.