ಟೆಂಪ್ಲೇಟು: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

Index of dispersion

Summary tables

Statistical graphics

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 Randomized experiment Random assignment Replication Blocking Factorial experiment Optimal design
Uncontrolled studies	Natural experiment Quasi-experiment Observational study

Statistical inference

Statistical theory	Sampling distribution Order statistics Sufficiency Completeness Exponential family Permutation test (Randomization test) Empirical distribution Bootstrap U statistic Efficiency Asymptotics Robustness
Frequentist inference	Unbiased estimator (Mean unbiased minimum variance, Median unbiased) Biased estimators (Maximum likelihood, Method of moments, Minimum distance, Density estimation) Confidence interval Testing hypotheses Power Parametric tests (Likelihood-ratio, Wald, Score)
Specific tests	Z (normal) Student's t-test F Goodness of fit (Chi-squared, G, Sample source, sample normality, Skewness & kurtosis Normality, Model comparison, Model quality) Signed-rank (1-sample, 2-sample, 1-way anova) Shapiro–Wilk Kolmogorov–Smirnov
Bayesian inference	Bayesian probability Prior Posterior Credible interval Bayes factor Bayesian estimator Maximum posterior estimator

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 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
Partition of variance	Analysis of variance (ANOVA) Analysis of covariance Multivariate ANOVA Degrees of freedom

Categorical, multivariate, time-series, or survival analysis

Categorical data

Multivariate statistics

Time series analysis

General	Decomposition Trend Stationarity Seasonal adjustment Exponential smoothing Cointegration
Specific tests	Granger causality Q-Statistic Durbin–Watson
Time domain	ACF PACF XCF ARMA model ARIMA model ARCH Vector autoregression
Frequency domain	Spectral density estimation Fourier analysis

Survival analysis

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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