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Kigezo:Statistics

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Descriptive statistics

Continuous data

Location	Mean (Arithmetic, Geometric, Harmonic) · Median · Mode
Dispersion	Range · Standard deviation · Coefficient of variation · Percentile · Interquartile range
Shape	Variance · Skewness · Kurtosis · Moments · L-moments

Index of dispersion

Summary tables

Grouped data · Frequency distribution · Contingency table

Pearson product-moment correlation · Rank correlation (Spearman's rho, Kendall's tau) · Partial correlation · Scatter plot

Statistical graphics

Bar chart · Biplot · Box plot · Control chart · Correlogram · Forest plot · Histogram · Q-Q plot · Run chart · Scatter plot · Stemplot · Radar chart

Data collection

Designing studies	Effect size · Standard error · Statistical power · Sample size determination
Survey methodology	Sampling · Stratified sampling · Opinion poll · Questionnaire
Controlled experiment	Design of experiments · Factorial experiment · Randomized experiment · Random assignment · Replication · Blocking · Optimal design
Uncontrolled studies	Natural experiment · Quasi-experiment · Observational study

Statistical inference

Statistical theory	Sampling distribution · Sufficient statistic · Meta-analysis
Bayesian inference	Bayesian probability · Prior · Posterior · Credible interval · Bayes factor · Bayesian estimator · Maximum posterior estimator
Frequentist inference	Confidence interval · Hypothesis testing · Likelihood-ratio
Specific tests	Z-test (normal) · Student's t-test · F-test · Pearson's chi-square test · Wald test · Mann–Whitney U · Shapiro–Wilk · Signed-rank ·Kolmogorov–Smirnov test
General estimation	Mean-unbiased · Median-unbiased · Maximum likelihood · Method of moments · Minimum distance · Density estimation

Correlation and regression analysis

Correlation	Pearson product-moment correlation · Partial correlation · Confounding variable · Coefficient of determination
Regression analysis	Errors and residuals · Regression model validation · Mixed effects models · Simultaneous equations models
Linear regression	Simple linear regression · Ordinary least squares · General linear model · Bayesian regression
Non-standard predictors	Nonlinear regression ·Nonparametric · Semiparametric ·Isotonic ·Robust
Generalized linear model	Exponential families · Logistic (Bernoulli) · Binomial · Poisson
Partition of variance	Analysis of variance (ANOVA) · Analysis of covariance · Multivariate ANOVA · Degrees of freedom

Categorical, multivariate, time-series, or survival analysis

Categorical data	Cohen's kappa · Contingency table · Graphical model · Log-linear model · McNemar's test
Multivariate statistics	Multivariate regression · Principal components · Factor analysis · Cluster analysis · Copulas
Time series analysis	Decomposition · Trend estimation · Box–Jenkins · ARMA models · Spectral density estimation
Survival analysis	Survival function · Kaplan–Meier · Logrank test · Failure rate · Proportional hazards models · Accelerated failure time model

Biostatistics	Bioinformatics · Biometrics · Clinical trials & studies · Epidemiology · Medical statistics · Pharmaceutical statistics
Engineering statistics	Methods engineering · Probabilistic design · Process & Quality control · Reliability · System identification
Social statistics	Actuarial science · Sensa · Crime statistics · Demography · Econometrics · National accounts · Official statistics · Population · Psychometrics
Spatial statistics	Cartography · Environmental statistics · Geographic information system · Geostatistics · Kriging

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