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  • 2 replies
    • Schnitzelfisch
      Joined: 08.11.2008 Posts: 4,952
      A few thousand probably :) .
    • pzhon
      Joined: 17.06.2010 Posts: 1,151
      It depends how accurately you want to know your ROI.

      If your opponents are always chosen randomly from among your possible opponents, then you can use the following formula for a rough 95% confidence interval: Observed ROI +- 190%/squareroot(n). (A similar formula can be used for other SNGs, e.g., if you play 9-player SNGs, replace 190% with 310%. The same 190% applies to NLHE HU tournaments and DoN tournaments.)

      For example, after 100 tournaments, if your ROI has been 10%, a rough 95% confidence interval is 10% +- 19%, or from -9% to +29%. After 400 tournaments with the same ROI of 10%, your confidence interval would be 10% +- 9.5%, so that you would be confident that you are winning but not sure by how much.

      If your opponents are not chosen randomly, if you play series of matches against the same opponent before switching to another, this widens your confidence interval.