Nonparametric tests

• Sign test
• Wilcoxon signed-rank test

• Wilcoxon rank-sum (Mann–Whitney) test
• Equality of medians
• Kruskal–Wallis test
• Kolmogorov–Smirnov test
• Binomial probability test
• Chi-squared tests for association
• Tests for trend
• One- and two-sample tests of proportions
• Test for random order
• Equality of survivor functions
• Equality of ROC areas
• Equality of ROC area against a standard ROC curve
• CUSUM

Nonparametric correlation coefficients

• Spearman’s rank order
• Kendall’s rank order

Survival analysis

• Kaplan–Meier curves
• Nelson–Aalen curves
• logrank and other tests of equality

Resampling and simulations

• Bootstrap sampling and estimation
• Sampling with replacement
• Monte Carlo simulations

Smoothing

• Univariate kernel density estimation
• Lowess smoothing
• Kernel-weighted local polynomial smoothing

ROC analysis

• Adjust for covariates
• Plot ROC curves

Quantile regression

• Median regression
• Least absolute deviations regression
• User-specified quantiles
• Bootstrap and conventional standard errors
• Simultaneous quantile regression
• Interquartile range regression

Centiles and confidence intervals

• Estimate percentiles
• Exact confidence intervals
• Optionally assume normality