.. _book_fig_chapter5_fig_odds_ratio_coin: Coin Toss Odds Ratio -------------------- Figure 5.1 Odds ratio for two models, :math:`O_{21}`, describing coin tosses (eq. 5.26). Out of N tosses (left: N = 10; right: N = 20), k tosses are heads. Model 2 is a one-parameter model with the heads probability determined from data (:math:`b^0 = k/N`), and model 1 claims an a priori known heads probability equal to :math:`b_*`.The results are shown for two values of :math:`b_*`, as indicated in the legend. Note that the odds ratio is minimized and below 1 (model 1 wins) when :math:`k = b_* N`. .. image:: ../images/chapter5/fig_odds_ratio_coin_1.png :scale: 100 :align: center .. raw:: html