0 IVs (population) | Interval & Normal | One Sample t-test Compares the sample mean to a hypothesized value | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

VassarStats | UCLA | UCLA | UCLA | UCLA | |||||

GraphPad | Laerd | Laerd | Purdue | RExRepos | |||||

Reed | NYU | ||||||||

Ordinal or Interval | One Sample Median/Wilcoxon Signed Rank Test Compares the sample median to a hypothesized value | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

VassarStats | UCLA | UCLA | UCLA | UCLA | |||||

GraphPad | Reed | Purdue | RExRepos | ||||||

Categorical (two categories) | Binomial Test Compares the proportion of successes to a hypothesized value | Wikipedia | SPSS | Stata | SAS | R | JMP | ||

GraphPad | UCLA | UCLA | UCLA | UCLA | |||||

Reed | RExRepos | ||||||||

Categorical | Chi-square Goodness of Fit Compares observed proportions to hypothesized proportions | Wikipedia | SPSS | UCLA* | SAS | R | MathWorks | JMP | |

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Reed | Purdue | RExRepos | |||||

Stat Trek | StatTutorials | ||||||||

1 IV with 2 levels (independent groups) | Interval & Normal | Two Independent Sample T-test Compares difference between the means of two independent variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Laerd | Purdue | RExRepos | |||||

GraphPad | Norusis | Reed | StatTutorials | NYU | |||||

Stat Trek | |||||||||

Ordinal or Interval | Wilcoxon-Mann Whitney/Wilcoxon Rank Sum Test Compares difference between means of two independent variables when the dependent variable is not normally distributed | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

VassarStats | UCLA | UCLA | UCLA | UCLA | |||||

GraphPad | Laerd | Reed | Purdue | RExRepos | |||||

NYU | |||||||||

Categorical | Chi-square Test Examines relationship between two categorical variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Reed | Purdue | NYU | |||||

Penn State | StatTutorials | ||||||||

Fisher's Exact Test Examines relationship between two categorical variables when at least one of the expected cell counts is less than 5 | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | ||

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Purdue | ||||||||

StatTutorials | |||||||||

1 IV with 2 or more levels (independent groups) | Interval & Normal | One-way ANOVA (Analysis of Variance) Compares difference in means across one variable with two or more groups | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

Laerd | UCLA | UCLA | UCLA | UCLA | |||||

StatSoft | Laerd | Laerd | Purdue | RExRepos | |||||

VassarStats | Reed | StatTutorials | NYU | ||||||

GraphPad | |||||||||

Ordinal or Interval | Kruskal Wallis Compares difference across means of an ordinal or interval variable across one independent variable with at least two groups | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

VassarStats | UCLA | UCLA | UCLA | UCLA | |||||

GraphPad | Laerd | Laerd | Purdue | RExRepos | |||||

Reed | |||||||||

Categorical | Chi-square Test Examines relationship between two categorical variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Reed | Purdue | NYU | |||||

Penn State | StatTutorials | ||||||||

1 IV with levels (dependent/matched groups) | Interval & Normal | Paired T-test Compares difference between two dependent/matched variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Laerd | Purdue | RExRepos | |||||

GraphPad | Reed | StatTutorials | NYU | ||||||

Ordinal or Interval | Wilcoxon Signed Rank Test Compares difference between two dependent/matched variables when the difference is ordinal but not interval/normal | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

VassarStats | UCLA | UCLA | UCLA | UCLA | |||||

Laerd | Reed | Purdue | RExRepos | ||||||

Categorical | McNemar's Test Compares difference between proportions when the variables are matched/dependent | Wikipedia | SPSS | Stata | SAS | R | JMP | ||

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Purdue | RExRepos | ||||||

GraphPad | |||||||||

1 IV with 2 or more levels (dependent/matched groups) | Interval & Normal | One-way Repeated Measures ANOVA Compares difference in means across one independent variable with two or more dependent/related groups | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

Laerd | UCLA | UCLA | UCLA | UCLA | |||||

StatSoft | Laerd | Laerd | StatTutorials | RExRepos | |||||

VassarStats | Reed | ||||||||

GraphPad | |||||||||

Ordinal or Interval | Friedman Test Compares difference in means across an ordinal independent variable with two or more dependent/related groups | Wikipedia | SPSS | SAS | R | MathWorks | JMP | ||

VassarStats | UCLA | UCLA | UCLA | UCLA | |||||

GraphPad | Laerd | RExRepos | |||||||

Categorical | Repeated Measures Logistic Regression Predicts group membership of a binary dependent outcome based off of multiple independent variables with dependent/related measurements | SPSS | Stata | SAS | R | ||||

UCLA | UCLA | UCLA | UCLA | ||||||

2 or more IVs (independent groups) | Interval & Normal | Two-way (N-way/Factorial) ANOVA Compares difference in means across two or more independent variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks (Two-way) | JMP |

StatSoft | UCLA | UCLA | UCLA | UCLA | MathWorks (N-way) | ||||

VassarStats | Laerd | Laerd | UCLA | RExRepos | |||||

GraphPad | Reed | Purdue | |||||||

Ordinal or Interval | Ordered Logistic Regression Predicts the value of an ordinal dependent variable based off of a combination of one or more independent variables | Wikipedia | SPSS | Stata | SAS | R | JMP | ||

UCLA | UCLA | UCLA | UCLA | ||||||

UCLA | UCLA | UCLA | RExRepos | ||||||

Laerd | Princeton | ||||||||

Norusis | |||||||||

Categorical | Factorial Logistic Regression Predicts group membership of a binary dependent variable based off a combination of two or more independent variables | SPSS | Stata | SAS | R | ||||

UCLA | UCLA | UCLA | UCLA | ||||||

1 Interval IV | Interval & Normal | Correlation (Pearson) Examines strength of a linear association between two continuous variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

Laerd | UCLA | UCLA | UCLA | UCLA | |||||

StatSoft | UCLA | UCLA | UCLA | NYU | |||||

Laerd | Laerd | StatTutorials | |||||||

Simple Linear Regression Predicts the value of an interval dependent variable based off of the value of an interval or categorical independent variable | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | ||

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

Stat Trek | Laerd | Laerd | Purdue | RExRepos | |||||

StatTutorials | NYU | ||||||||

Ordinal or Interval | Correlation (Spearman) Examines strength of association between two ordinal or interval variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | |

Laerd | UCLA | UCLA | UCLA | UCLA | |||||

StatSoft | Laerd | Laerd | StatTutorials | ||||||

Categorical | Simple Logistic Regression Predicts the probability of group membership of a binary dependent variable based off of one independent interval variable | Wikipedia | SPSS | Stata (logit) | SAS | R | MathWorks | JMP | |

StatSoft | UCLA | Stata (logistic) | UCLA | UCLA | |||||

Laerd | UCLA | StatTutorials | RExRepos | ||||||

SAGE | NYU | ||||||||

1 or more Interval IVs and/or 1 or more Categorical IVs | Interval & Normal | Multiple Regression Predicts the value of an interval dependent variable based off of a linear combination of two or more interval or categorical independent variables | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP |

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

UCLA | UCLA | UCLA | RExRepos | ||||||

Laerd | Laerd | Purdue | NYU | ||||||

Princeton | |||||||||

ANCOVA (Analysis of Covariance) Compares difference in means across at least one categorical variable and at least one interval variable | Wikipedia | SPSS | Stata | SAS | R | MathWorks | JMP | ||

StatSoft | UCLA | UCLA | UCLA | UCLA | |||||

VassarStats | Laerd | Reed | RExRepos | ||||||

Categorical | Multiple Logistic Regression Predicts the probability of group membership of a binary dependent variable based off of a linear combination of independent interval or categorical variables | Wikipedia | SPSS | Stata (logit) | SAS | R | MathWorks | JMP | |

StatSoft | UCLA | Stata (logisitc) | UCLA | UCLA | |||||

UCLA | UCLA | UCLA | UCLA | ||||||

Laerd | UCLA | ||||||||

SAGE | |||||||||

Discriminant Analysis (predictive) Predicts group membership of a categorical variable based off of a linear combination of independent interval variables | Wikipedia | SPSS | SAS | R | MathWorks | JMP | |||

StatSoft | UCLA | UCLA | RExRepos | ||||||

UCLA | UCLA | UCLA | |||||||

SAGE | Penn State |