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Statistics
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Descriptive statistics
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| Continuous data |
| Location |
- Mean (Arithmetic, Geometric, Harmonic)
- Median
- Mode
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| Dispersion |
- Range
- Standard deviation
- Coefficient of variation
- Percentile
- Interquartile range
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| Shape |
- Variance
- Skewness
- Kurtosis
- Moments
- L-moments
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| Count data |
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| Summary tables |
- Grouped data
- Frequency distribution
- Contingency table
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| Dependence |
- Pearson product-moment correlation
- Rank correlation (Spearman's rho, Kendall's tau)
- Partial correlation
- Scatter plot
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| Statistical graphics |
- Bar chart
- Biplot
- Box plot
- Control chart
- Correlogram
- Forest plot
- Histogram
- Q–Q plot
- Run chart
- Scatter plot
- Stemplot
- Radar chart
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Data collection
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| Designing studies |
- Effect size
- Standard error
- Statistical power
- Sample size determination
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| Survey methodology |
- Sampling
- Stratified sampling
- Opinion poll
- Questionnaire
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| Controlled experiment |
- Design of experiments
- Randomized experiment
- Random assignment
- Replication
- Blocking
- Factorial experiment
- Optimal design
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| Uncontrolled studies |
- Natural experiment
- Quasi-experiment
- Observational study
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Statistical inference
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| Statistical theory |
- Sampling distribution
- Order statistics
- Sufficiency
- Completeness
- Exponential family
- Permutation test (Randomization test)
- Empirical distribution
- Bootstrap
- U statistic
- Efficiency
- Asymptotics
- Robustness
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| 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)
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| Specific tests |
- Z (normal)
- Student's t-test
- F
- Chi-squared
- Signed-rank (1-sample, 2-sample, 1-way anova)
- Shapiro–Wilk
- Kolmogorov–Smirnov
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| Bayesian inference |
- Bayesian probability
- Prior
- Posterior
- Credible interval
- Bayes factor
- Bayesian estimator
- Maximum posterior estimator
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Correlation and regression analysis
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| Correlation |
- Pearson product–moment correlation
- Partial correlation
- Confounding variable
- Coefficient of determination
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| Regression analysis |
- Errors and residuals
- Regression model validation
- Mixed effects models
- Simultaneous equations models
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| Linear regression |
- Simple linear regression
- Ordinary least squares
- General linear model
- Bayesian regression
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| Non-standard predictors |
- Nonlinear regression
- Nonparametric
- Semiparametric
- Isotonic
- Robust
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| Generalized linear model |
- Exponential families
- Logistic (Bernoulli)
- Binomial
- Poisson
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| Partition of variance |
- Analysis of variance (ANOVA)
- Analysis of covariance
- Multivariate ANOVA
- Degrees of freedom
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Categorical, multivariate, time-series, or survival analysis
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| Categorical data |
- Cohen's kappa
- Contingency table
- Graphical model
- Log-linear model
- McNemar's test
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| Multivariate statistics |
- Multivariate regression
- Principal components
- Factor analysis
- Cluster analysis
- Classification
- Copulas
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| Time series analysis |
| General |
- Decomposition
- Trend
- Stationarity
- Seasonal adjustment
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| Time domain |
- ACF
- PACF
- XCF
- ARMA model
- ARIMA model
- Vector autoregression
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| Frequency domain |
- Spectral density estimation
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| Survival analysis |
- Survival function
- Kaplan–Meier
- Logrank test
- Failure rate
- Proportional hazards models
- Accelerated failure time model
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Applications
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| Biostatistics |
- Bioinformatics
- Clinical trials & studies
- Epidemiology
- Medical statistics
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| Engineering statistics |
- Chemometrics
- Methods engineering
- Probabilistic design
- Process & Quality control
- Reliability
- System identification
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| Social statistics |
- Actuarial science
- Census
- Crime statistics
- Demography
- Econometrics
- National accounts
- Official statistics
- Population
- Psychometrics
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| Spatial statistics |
- Cartography
- Environmental statistics
- Geographic information system
- Geostatistics
- Kriging
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- Portal
- Outline
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