• v
  • t
  • e
Statistics
  • Outline
  • Index
Descriptive statistics
Continuous data
Center
  • Mean
    • Arithmetic
    • Cubic
    • Generalized/power
    • Geometric
    • Harmonic
    • Heinz
    • Lehmer
  • Median
  • Mode
Dispersion
  • Average absolute deviation
  • Coefficient of variation
  • Interquartile range
  • Percentile
  • Range
  • Standard deviation
  • Variance
Shape
  • Central limit theorem
  • Moments
    • Kurtosis
    • L-moments
    • Skewness
Count data
  • Index of dispersion
Summary tables
  • Contingency table
  • Frequency distribution
  • Grouped data
Dependence
  • Partial correlation
  • Pearson product-moment correlation
  • Rank correlation
    • Kendall's τ
    • Spearman's ρ
  • Scatter plot
Graphics
  • Bar chart
  • Biplot
  • Box plot
  • Control chart
  • Correlogram
  • Fan chart
  • Forest plot
  • Histogram
  • Pie chart
  • Q–Q plot
  • Radar chart
  • Run chart
  • Scatter plot
  • Stem-and-leaf display
  • Violin plot
Data collection
Study design
  • Effect size
  • Missing data
  • Optimal design
  • Population
  • Replication
  • Sample size determination
  • Statistic
  • Statistical power
Survey methodology
  • Sampling
    • Cluster
    • Stratified
  • Opinion poll
  • Questionnaire
  • Standard error
Controlled experiments
  • Blocking
  • Factorial experiment
  • Interaction
  • Random assignment
  • Randomized controlled trial
  • Randomized experiment
  • Scientific control
Adaptive designs
  • Adaptive clinical trial
  • Stochastic approximation
  • Up-and-down designs
Observational studies
  • Cohort study
  • Cross-sectional study
  • Natural experiment
  • Quasi-experiment
Statistical inference
Statistical theory
  • Population
  • Statistic
  • Probability distribution
  • Sampling distribution
    • Order statistic
  • Empirical distribution
    • Density estimation
  • Statistical model
    • Model specification
    • Lp space
  • Parameter
    • location
    • scale
    • shape
  • Parametric family
    • Likelihood (monotone)
    • Location–scale family
    • Exponential family
  • Completeness
  • Sufficiency
  • Statistical functional
    • Bootstrap
    • U
    • V
  • Optimal decision
    • loss function
  • Efficiency
  • Statistical distance
    • divergence
  • Asymptotics
  • Robustness
Frequentist inference
Point estimation
  • Estimating equations
    • Maximum likelihood
    • Method of moments
    • M-estimator
    • Minimum distance
  • Unbiased estimators
    • Mean-unbiased minimum-variance
      • Rao–Blackwellization
      • Lehmann–Scheffé theorem
    • Median unbiased
  • Plug-in
Interval estimation
  • Confidence interval
  • Pivot
  • Likelihood interval
  • Prediction interval
  • Tolerance interval
  • Resampling
    • Bootstrap
    • Jackknife
Testing hypotheses
  • 1- & 2-tails
  • Power
    • Uniformly most powerful test
  • Permutation test
    • Randomization test
  • Multiple comparisons
Parametric tests
  • Likelihood-ratio
  • Score/Lagrange multiplier
  • Wald
Specific tests
  • Z-test (normal)
  • Student's t-test
  • F-test
Goodness of fit
  • Chi-squared
  • G-test
  • Kolmogorov–Smirnov
  • Anderson–Darling
  • Lilliefors
  • Jarque–Bera
  • Normality (Shapiro–Wilk)
  • Likelihood-ratio test
  • Model selection
    • Cross validation
    • AIC
    • BIC
Rank statistics
  • Sign
    • Sample median
  • Signed rank (Wilcoxon)
    • Hodges–Lehmann estimator
  • Rank sum (Mann–Whitney)
  • Nonparametric anova
    • 1-way (Kruskal–Wallis)
    • 2-way (Friedman)
    • Ordered alternative (Jonckheere–Terpstra)
  • Van der Waerden test
Bayesian inference
  • Bayesian probability
    • prior
    • posterior
  • Credible interval
  • Bayes factor
  • Bayesian estimator
    • Maximum posterior estimator
  • Correlation
  • Regression analysis
Correlation
  • Pearson product-moment
  • Partial correlation
  • Confounding variable
  • Coefficient of determination
Regression analysis
  • Errors and residuals
  • Regression validation
  • Mixed effects models
  • Simultaneous equations models
  • Multivariate adaptive regression splines (MARS)
Linear regression
  • Simple linear regression
  • Ordinary least squares
  • General linear model
  • Bayesian regression
Non-standard predictors
  • Nonlinear regression
  • Nonparametric
  • Semiparametric
  • Isotonic
  • Robust
  • Heteroscedasticity
  • Homoscedasticity
Generalized linear model
  • Exponential families
  • Logistic (Bernoulli) / Binomial / Poisson regressions
Partition of variance
  • Analysis of variance (ANOVA, anova)
  • Analysis of covariance
  • Multivariate ANOVA
  • Degrees of freedom
Categorical / Multivariate / Time-series / Survival analysis
Categorical
  • Cohen's kappa
  • Contingency table
  • Graphical model
  • Log-linear model
  • McNemar's test
  • Cochran-Mantel-Haenszel statistics
Multivariate
  • Regression
  • Manova
  • Principal components
  • Canonical correlation
  • Discriminant analysis
  • Cluster analysis
  • Classification
  • Structural equation model
    • Factor analysis
  • Multivariate distributions
    • Elliptical distributions
      • Normal
Time-series
General
  • Decomposition
  • Trend
  • Stationarity
  • Seasonal adjustment
  • Exponential smoothing
  • Cointegration
  • Structural break
  • Granger causality
Specific tests
  • Dickey–Fuller
  • Johansen
  • Q-statistic (Ljung–Box)
  • Durbin–Watson
  • Breusch–Godfrey
Time domain
  • Autocorrelation (ACF)
    • partial (PACF)
  • Cross-correlation (XCF)
  • ARMA model
  • ARIMA model (Box–Jenkins)
  • Autoregressive conditional heteroskedasticity (ARCH)
  • Vector autoregression (VAR)
Frequency domain
  • Spectral density estimation
  • Fourier analysis
  • Least-squares spectral analysis
  • Wavelet
  • Whittle likelihood
Survival
Survival function
  • Kaplan–Meier estimator (product limit)
  • Proportional hazards models
  • Accelerated failure time (AFT) model
  • First hitting time
Hazard function
  • Nelson–Aalen estimator
Test
  • Log-rank test
Applications
Biostatistics
  • Bioinformatics
  • Clinical trials / studies
  • Epidemiology
  • Medical statistics
Engineering statistics
  • Chemometrics
  • Methods engineering
  • Probabilistic design
  • Process / quality control
  • Reliability
  • System identification
Social statistics
  • Actuarial science
  • Census
  • Crime statistics
  • Demography
  • Econometrics
  • Jurimetrics
  • National accounts
  • Official statistics
  • Population statistics
  • Psychometrics
Spatial statistics
  • Cartography
  • Environmental statistics
  • Geographic information system
  • Geostatistics
  • Kriging
  • Category
  • icon
     Mathematics portal
  • Commons
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Template documentation[view] [edit] [history] [purge]

Usage

Place this template at the bottom of appropriate articles in statistics:

((Statistics))

For most articles transcluding this template, the name of that section of the template most relevant to the article (usually where a link to the article itself is found) should be added as a parameter. This configures the template to be shown with all but that section collapsed (hidden):

((Statistics|descriptive))
((Statistics|collection))
((Statistics|inference))
((Statistics|correlation))
((Statistics|analysis))
((Statistics|applications))

By default, ((Statistics)) appears "revealed", "expanded" or "uncollapsed" as above, i.e. not collapsed to leave only its titlebar. (When one of the parameters above is included, the section it identifies is also revealed/expanded/uncollapsed.) Adding  |state=collapsed  will make the template appear collapsed to its titlebar (e.g. ((Statistics |state=collapsed)), ((Statistics |descriptive |state=collapsed)), etc.).

See also

  • ((Navbox with collapsible groups)), the template used to make this template.
The above documentation is transcluded from Template:Statistics/doc. (edit | history)
Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages.
Add categories to the /doc subpage. Subpages of this template.
Categories
Categories:
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