Descriptive statistics

 Mean, Variance, SD, Skewness, Kurtosis
 Median, Minimum, Maximum, Range, IQR
 Quantiles

 Frequency table
 Contingency table
 Correlation coefficient

Modeling & regression

Linear Fits
 Simple linear regression
 Polynomial regression (2nd to 6th order)
 Logarithmic regression
 Exponential regression
 Power regression
 Multiple linear regression
 Advanced models with simple, crossed, polynomial and factorial terms, with categorical explanatory variables coded as dummy variables
Other Fits
 Binary logistic regression

 Leverage plot
 Residual plot
 Outlier and Influence plot
 Standardized and Studentzied residuals
 Cook's D
 Test effect of each term
 Test effect of model
 Predict Y for X
 Lack of fit test for simple regression models
 Save model variables back to the dataset: Fitted Y, Residuals, Standardized Residuals, Studentized Residuals, Leverage, Cook's Influence.

Multivariate

Correlation / Association
 Pearson r
 Fisher Z confidence interval for Pearson r
 Pearson test
 Spearman rs
 Kendall tau
 SamaraRandles confidence interval for Kendall tau
 Kendall test

PCA
 Classic Gabriel biplot
 GowerHand biplot
 Correlation monoplot
 Scree plot
 Eigenvalues / Eigenvectors
Common Factor Analysis
 Maximum likelihood factor extraction
 Factor pattern / structure matrices
 12 factor rotations including Varimax, Oblimin

Hypothesis tests

Location
 Ztest (one, two, paired)
 Student ttest (one, two, paired)
 Welch ttest
 Wilcoxon
 WilcoxonMannWhitney
 Sign
 ANOVA
 Repeated measured ANOVA
 Welch ANOVA
 KruskalWallis
 Friedman
Dispersion / Homogeneity of variance
 X^{2}
 Fisher Ftest
 Bartlett
 Levene
 BrownForsythe

Normality
 ShapiroWilk
 AndersonDarling
 KolmogorovSmirnov
Proportions
 Binomial exact
 McNemarMosteller exact
 Fisher exact
 Pearson X^{2}
 Score Z
 Likelihood ratio G^{2}

Estimators

Location
 Mean
 Median
 HodgesLehmann pseudomedian
 tbased confidence interval for mean
 Zbased confidence interval for mean
 ThompsonSavur confidence interval for median
 Tukey confidence interval for HodgesLehmann pseudomedian
 Mean difference
 tbased confidence interval for mean difference
 Zbased confidence interval for mean difference
 WelchSatterthwaite tbased confidence interval for mean difference
 HodgesLehmann location shift
 Tukey confidence interval for HodgesLehmann location shift
 Multiple comparisons: TukeyKramer, Dunnett, Hsu (with best), Scheffe (all contrasts), Steel (nonparametric against control), DwassSteelCritchlowFligner (nonparametric all pairs), Wilcoxon (individual comparisons)
Dispersion
 Variance
 X^{2}based confidence interval for variance
 Variance ratio
 Fbased confidence interval for variance ratio

Proportions
 Proportion
 Odds
 ClopperPearson exact confidence interval for proportion
 Wilson score confidence interval for proportion
 Proportion difference (risk difference)
 Proportion ratio (risk ratio)
 Odds ratio
 MiettinenNurminen score confidence interval for proportion difference / proportion ratio / oddsratio
 Newcombe score confidence interval for proportion difference
 Conditional exact confidence interval for odds ratio

Plots

 Histogram
 Dot plot
 Box plot
 Mean error bar plot
 CDF plot
 Normal QQ plot
 Scatter plot
 Scatter plot matrix
 Difference plot
 MeanMean scatter plot for visualizing multiple comparisons.

 Frequency plot
 Pie frequency plot
 Mosaic plot
 Grouped frequency plot
 Stacked frequency plot
