.. _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


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