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Degree of freedom
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Degree of Freedom
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===================
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===================
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BAM
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BAM
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@ -6,6 +6,6 @@ Statistics
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:maxdepth: 2
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:maxdepth: 2
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metrics
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metrics
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dof
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degree_of_freedom
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Statistics notes.
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Statistics notes.
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@ -50,6 +50,7 @@ Standard Error of the Mean (SEM) quantifies the error that is potentially made w
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Here is how to interpret it.
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Here is how to interpret it.
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If :math:`n=1`, the error is at most :math:`\sqrt{\mathbb{V}[X]}=\sigma_X` which is the standard deviation or :math:`X`.
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If :math:`n=1`, the error is at most :math:`\sqrt{\mathbb{V}[X]}=\sigma_X` which is the standard deviation or :math:`X`.
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The more :math:`n` increases, the lower the error becomes.
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The more :math:`n` increases, the lower the error becomes.
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The greater :math:`\mathbb{V}[X]`, the greater :math:`n` needs to be to ensure a low :math:`\mathrm{SEM}`.
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More infos in `this video <https://www.youtube.com/watch?v=BwYj69LAQOI>`_.
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More infos in `this video <https://www.youtube.com/watch?v=BwYj69LAQOI>`_.
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If it is still unclear, see the following R code:
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If it is still unclear, see the following R code:
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