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source/statistics/tests/index.rst

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+Statistical Tests
+------------------
+
+
+Statistical tests are used to decide whether a hypotesis is true or not. To do so, two hypothesis must be formulated:
+
+#. :math:`H_0` : The one that is true at first glance (nothing particular, null, boring):
+   
+   - The mean of two populations are equals
+   - The average weight of the children in that school is not different from the one of the country
+
+#. :math:`H_1` : The one that says: "Something strange is happening"
+
+   - The mean of two populations are differents
+   - The average weight of the children in that school differ from the one of the country
+
+
+A statistical test usually works with a **p-value** noted :math:`\alpha`.
+It corresponds to the probability of obtaining the results that you have under the assumption that the null hypothesis is correct.
+In other words, how lucky you are of obtaining these results.
+     
+Prior performing a statistical test, you must choose a minimal *p-value*.
+:math:`H_0` will be rejected (meaning :math:`H_1` considered true) if the *p-value* obtained from the statistical test
+is lower or equal to the one you choose initially.
+The lower your initial *p-value* is, the more difficult it is to reject the null hypothesis.
+
+.. toctree::
+   :maxdepth: 2
+   :caption: Categories
+              
+   parametric/index
+   non-parametric/index