Response variable | Explanatory variable | Analysis method | Visualisation | Hypothesis testing | Example of modelisation |
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Quantitative | Quantitative | univariate:Correlation coeficientmultivariate:Pincipal component analysis (PCA) | Scatterplot | Pearson correlation, Spearman correlation | Linear regression, Tikhonov regularization (ridge regression),Ordinary least square (OLS),ANCOVA,GLM,ANOVA |
Quantitative | Qualitative (binary data) | univariate:Class based: mean, median, standard deviation | Box-plot | Student test | General linear model (ANOVA, ANCOVA) |
Quantitative | Qualitative (non-binary data) | univariate:Class based: mean, median, standard deviation | Box-plot | ANOVA | General linear model (ANOVA, ANCOVA) |
Qualitative (binary data) | Quantitative | univariate:Class based: mean, median, standard deviation | Box-plot | Student test | Logistic regression, Decision trees,Linear discriminant analysis,Neural network,Genetic algorithms |
Qualitative (binary data) | Qualitative (binary data) | univariate:Contingency table (cross tabulation)Frequency table | Histogram, Mosaic plot | Pearson's Chi-square test | Logistic regression, Decision trees,Linear discriminant analysis,Neural network,Genetic algorithms,Probit model |
Qualitative (binary data) | Qualitative (non-binary data) | univariate:Contingency table (cross tabulation)Frequency table | Histogram, Mosaic plot | Pearson's Chi-square test | Logistic regression, Decision trees,Linear discriminant analysis,Neural network,Genetic algorithms,Probit model |
Qualitative (non-binary data) | Quantitative | univariate:Class based: mean, median, standard deviation | Box-plot | ANOVA | Multinomial logistic regression, Ordered logistic regression |
Qualitative (non-binary data) | Qualitative (binary data) | univariate:Contingency table (cross tabulation)Frequency table | Histogram, Mosaic plot | Pearson's Chi-square test | Multinomial logistic regression, Ordered logistic regression |
Qualitative (non-binary data) | Qualitative (non-binary data) | univariate:Contingency table (cross tabulation)Frequency table | Histogram, Mosaic plot | Pearson's Chi-square test | Multinomial logistic regression, Ordered logistic regression |