Five simple formulas for all parametric statistics
$$Mean \; formula \quad \bar{X} ={\sum{X} \over {n}}$$
$$Variance \; formula \quad s^2 ={\sum{({X}-{\bar{X})}}^2 \over {n-1}}$$
$$ F \; ratio \; formula \quad F={{MS_{between}} \over {MS_{within}}}$$
$$ Paired \; t-test \; formula \quad {t_{paired}}= {\bar{X}_D \over \sqrt {s^2 \over {n}}}$$
$$t-test \; formula \quad t= {{\bar{X_1}-{\bar{X_2}}} \over \sqrt{{s_1}^2 \over {n_1}}+\sqrt{{s_2}^2 \over {n_2}}}$$
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why sometimes n and sometimes
why sometimes n and sometimes n-1?
Use n-1 when you are working
Use n-1 when you are working with samples, that is in analyzing data from experiments.
unreal!
unreal!
Yes yes simple easy
Yes yes simple easy
The many faces of variance
The many faces of variance