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Revision as of 10:07, 28 February 2015

Statistics

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

Count data

Index of dispersion

Summary tables

Dependence

Statistical graphics

Data collection

Study design	Effect size Standard error Statistical power Sample size determination
Survey methodology	Sampling stratified cluster Opinion poll Questionnaire
Controlled experiments	Design optimal Randomized Random assignment Replication Blocking Factorial experiment
Uncontrolled studies	Natural experiment Quasi-experiment Observational study

Statistical inference

Statistical theory

Frequentist inference

Confidence interval Testing hypotheses Power
Unbiased estimators	Mean unbiased minimum-variance Median unbiased
Biased estimators	Maximum likelihood Method of moments Minimum distance Density estimation
Parametric tests	Likelihood-ratio Wald Score

Specific tests

Z (normal) Student's t-test F Shapiro–Wilk Kolmogorov–Smirnov
Goodness of fit	Chi-squared G Sample source (Anderson–Darling) Sample normality (Shapiro–Wilk) Skewness / kurtosis normality (Jarque-Bera) Model comparison (Likelihood-ratio) Model quality (Akaike criterion)
Signed-rank	1-sample (Wilcoxon) 2-sample (Mann–Whitney U) 1-way anova (Kruskal–Wallis)

Bayesian inference

Correlation	Pearson product–moment Partial correlation Confounding variable Coefficient of determination
Regression analysis	Errors and residuals Regression model 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

Multivariate

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 Wavelet

Survival

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 National accounts Official statistics Population Psychometrics
Spatial statistics	Cartography Environmental statistics Geographic information system Geostatistics Kriging

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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.).

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