The Statistical Tests Table
| Test Name | H | Data Type | Is Parametric | Number of Groups |
|---|---|---|---|---|
| Shapiro-Wilk | The sample has not Gaussian distribution | Numerical | Y | 1 |
| DAgostino | The sample has not Gaussian distribution | Numerical | Y | 1 |
| Anderson-Darling | The sample has not Gaussian distribution | Numerical | Y | 1 |
| Pearson Correlation Coefficient | The groups are not correlated | Numerical | Y | 2 |
| Spearman Rank Correlation | The groups are not correlated | Categorical | N | 2 |
| Kendall’s Rank Correlation | The groups are not correlated | Categorical | N | 2 |
| Chi-Squared Test | The groups are not correlated | Numerical | N | 2+ |
| Augmented Dickey-Fuller | Time series is not autoregressive | Numerical | Y | 1 |
| Kwiatkowski-Phillips-Schmidt-Shin | Times series trend is stationary | Numerical | Y | 1 |
| Student t test | The sample mean of 2 samples are the same | Numerical | Y | 2 |
| Paired Student t | The sample mean of 2 paired samples are the same | Numerical | Y | 1 |
| AnOVa | The sample mean of 2+ samples are the same | Numerical | Y | 2+ |
| Repeated Measures AnOVa | The sample mean of 2+ paired samples are the same | Numerical | Y | 2+ |
| Mann-Whitney U | The distributions of 2 independent samples are the same | Numerical | N | 2 |
| Wilcoxon Signed-Rank | The distributions of 2 paired samples are the same | Numerical | N | 2+ |
| Kruskal-Wallis H | The distributions of 2+ independent samples are the same | Numerical | N | 2+ |
| Friedman | The distributions of 2+ paired samples are the same | Numerical | N | 2+ |
| Binomial test | The outcome of a binary variable does not differ from a hypothetical value | Numerical | Y | 1 |
| McNemar | The marginal frequency of two binary outcomes does not differ significantly | Numerical | Y | 2 |