posted on January 2, 2016

To achieve the goal in different scale of Measurement:

Goal | Interval/ratio | Ordinal | Nominal |
---|---|---|---|

Describe one group |
Mean, standard deviation | Median; interquartile range | proportion |

Compare one group to a hypothetical value |
One-sample t-test; Z-test: (for true variance known; or very big sample size) |
Wilcoxon signed rank test | Chi-square test |

Compare two paired groups |
Paired t-test | Wilcoxon signed rank test | McNemar’s test |

Compare two unpaired groups |
Unpaired/ two-sample t-test | Mann-Whitney U test | Chi-square test |

Compare three or more paired groups |
ANOVA repeated measures | Friedman test | Cochraine Q |

Compare three or more unpaired groups |
ANOVA | Kruskal-Wallis | Chi-square test |

Quantify association between 2 variables |
Pearson correlation | Spearman correlation | Contigency coefficients |

Predict value from another measured variable |
Simple linear regression |