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''Small sample size <30 in a group''*'''Student's t test'''::<math>\begin{align}t & |rowspan= \frac{\bar{x_1}-\bar{x_2}}{SE_{(\bar{x_1}-\bar{x_2})}} \\& = \frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{(n_1-1)+(n_2-1)}}\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}\end{align}</math>''Large discrepancy in SDs between groups''*'''Bootstrap'''*'''Non-parametric'''*'''Fisher-Behrens'''*'''Welch'''|"3" style="vertical-align:top"|
→Means
==Means==
{|class="wikitable"
!colspan="2" rowspan="2"|comparisons
!colspan="2"|Parametric<br>i.e., normally distributed
!colspan="2"|Non-parametric<br>i.e., not normally distributed
!style="width:200px"|Dependent samples<br>(Paired in case of two)
|-
!rowspan="2" style="width:80px3"|Means!style="width:40px"|2means
|
''Enough large sample''
\end{align}
</math>
*'''Paired Student's t test'''
::<math>
</math>
::where <math>\bar{d}</math> is the mean of differences of paired observations
|rowspan="3" style="vertical-align:top"|
*'''Wilcoxon rank sum test'''
**AKA '''Mann-Whitney test'''
|rowspan="3" style="vertical-align:top"|
*'''Wilcoxon signed rank test'''
**here 'signed' means 'take into account signs of differences of paired data'
|-
|''Small sample size <30 in a group''*'''Student's t test'''::<math>\begin{align}t & = \frac{\bar{x_1}-\bar{x_2}}{SE_{(\bar{x_1}-\bar{x_2})}} \\& = \frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{(n_1-1)+(n_2-1)}}\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}\end{align}</math>|-|''Large discrepancy in SDs between groups''*Bootstrap*Non-parametric*Fisher-Behrens*Welch|-!≥ 3 or moremeans
|style="vertical-align:top"|
*'''ANOVA'''
