(Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger and arxiv.org)

Written: Nov. 28, 2018.

Maple package

• SimpsonParadox.txt  

Input and Output Files

• If you want to see a computer-generated article about the number of Simpson Paradox scenarios, with 41 theorems, giving explicit polynomial expressions (as polynomials of degree 4), for the number of Simpson paradox scenarios where in a certain medical test,
  • a*n men took the drug,
  • b*n men did not take the drug
  • b*n women took the drug,
  • a*n women took the drug,
  for all possible pairs of positive integes 1 ≤ a < b ≤ 11 and a and b co-prime,
  the input file generates the following output file  

• If you want to see a computer-generated article about the number of Simpson Paradox scenarios, with 17 theorems, giving explicit polynomial expressions (as polynomials of degree 4), for the number of Extended Simpson paradox (fractions 0 and 1 are allowed) scenarios where in a certain medical test,
  • a*n men took the drug,
  • b*n men did not take the drug
  • b*n women took the drug,
  • a*n women took the drug,
  for all possible pairs of positive integes 1 ≤ a < b ≤ 7 and a and b co-prime,
  the input file generates the following output file  

Personal Journal of Shalosh B. Ekhad and Doron Zeilberger

Doron Zeilberger's Home Page