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Do not fill this in! {{Navbox with collapsible groups | name = Statistics | state = {{{state|uncollapsed}}} | bodyclass = hlist | title = [[Statistics]] | image = <!-- [[File:Planche de Galton.jpg|thumb|100x100px|alt=Illustration of the central limit theorem|Illustration of the central limit theorem]] --> | selected = {{{selected|{{{expanded|{{{1|}}}}}}}}} | above = * [[Outline of statistics|Outline]] * [[List of statistics articles|Index]] <!------------------------------- Descriptive ---------------------------------> | abbr1 = descriptive | section1 = [[Descriptive statistics]] | list1 = {{Navbox |child | groupwidth = 12.5em <!--(should match those below)--> | group1 = [[Continuous probability distribution|Continuous data]] | list1 = {{Navbox |child | groupstyle = font-weight:normal; | group1 = [[Central tendency|Center]] | list1 = * [[Mean]] ** [[Arithmetic mean|Arithmetic]] ** [[Arithmeticâgeometric mean|Arithmetic-Geometric]] ** [[Cubic mean|Cubic]] ** [[generalized mean|Generalized/power]] ** [[Geometric mean|Geometric]] ** [[Harmonic mean|Harmonic]] ** [[Heronian mean|Heronian]] ** [[Heinz mean|Heinz]] ** [[Lehmer mean|Lehmer]] * [[Median]] * [[Mode (statistics)|Mode]] | group2 = [[Statistical dispersion|Dispersion]] | list2 = * [[Average absolute deviation]] * [[Coefficient of variation]] * [[Interquartile range]] * [[Percentile]] * [[Range (statistics)|Range]] * [[Standard deviation]] * [[Variance#Sample_variance|Variance]] | group3 = [[Shape of the distribution|Shape]] | list3 = * [[Central limit theorem]] * [[Moment (mathematics)|Moments]] ** [[Kurtosis]] ** [[L-moment]]s ** [[Skewness]] }} | group2 = [[Count data]] | list2 = * [[Index of dispersion]] | group3 = Summary tables | list3 = * [[Contingency table]] * [[Frequency distribution]] * [[Grouped data]] | group4 = [[Correlation and dependence|Dependence]] | list4 = * [[Partial correlation]] * [[Pearson correlation coefficient|Pearson product-moment correlation]] * [[Rank correlation]] ** [[Kendall rank correlation coefficient|Kendall's Ď]] ** [[Spearman's rank correlation coefficient|Spearman's Ď]] * [[Scatter plot]] | group5 = [[Statistical graphics|Graphics]] | list5 = * [[Bar chart]] * [[Biplot]] * [[Box plot]] * [[Control chart]] * [[Correlogram]] * [[Fan chart (statistics)|Fan chart]] * [[Forest plot]] * [[Histogram]] * [[Pie chart]] * [[QâQ plot]] * [[Radar chart]] * [[Run chart]] * [[Scatter plot]] * [[Stem-and-leaf display]] * [[Violin plot]] }} <!----------------------------- Data collection -------------------------------> | abbr2 = collection | group2 = [[Data collection]] | list2 = {{Navbox |child | groupwidth = 12.5em <!--(should match those above/below)--> | group1 = [[Design of experiments|Study design]] | list1 = * [[Effect size]] * [[Missing data]] * [[Optimal design]] * [[Statistical population|Population]] * [[Replication (statistics)|Replication]] * [[Sample size determination]] * [[Statistic]] * [[Statistical power]]<!-- redundant with inference, but useful --> | group2 = [[Survey methodology]] | list2 = * [[Sampling (statistics)|Sampling]] ** [[Cluster sampling|Cluster]] ** [[Stratified sampling|Stratified]] * [[Opinion poll]] * [[Questionnaire]] * [[Standard error]] | group3 = [[Experiment|Controlled experiments]] | list3 = * [[Blocking (statistics)|Blocking]] * [[Factorial experiment]] * [[Interaction (statistics)|Interaction]] * [[Random assignment]] * [[Randomized controlled trial]] * [[Randomized experiment]] * [[Scientific control]] <!-- * [[Regression discontinuity design|Regression discontinuity]] --> | group4 = Adaptive designs | list4 = * [[Adaptive clinical trial]] * [[Stochastic approximation]] * [[Up-and-Down Designs|Up-and-down designs]] | group5 = [[Observational study|Observational studies]] | list5 = * [[Cohort study]] * [[Cross-sectional study]] * [[Natural experiment]] * [[Quasi-experiment]] }} <!-------------------------------- Inference ----------------------------------> | abbr3 = inference | section3 = [[Statistical inference]] | list3 = {{Navbox |child | groupwidth = 12.5em <!--(should match those above/below)--> | group1 = [[Statistical theory]] | list1 = * [[Population (statistics)|Population]] * [[Statistic]] * [[Probability distribution]] * [[Sampling distribution]] ** [[Order statistic]] * [[Empirical distribution function|Empirical distribution]] **[[Density estimation]] * [[Statistical model]] **[[Model specification]] **[[Lp space|L<sup>''p''</sup> space]] * [[Statistical parameter|Parameter]] ** [[Location parameter|location]] **[[Scale parameter|scale]] **[[Shape parameter|shape]] * [[Parametric statistics|Parametric family]] ** [[Likelihood function|Likelihood]] [[Monotone likelihood ratio|{{small|(monotone)}}]] **[[Locationâscale family]] ** [[Exponential family]] * [[Completeness (statistics)|Completeness]] * [[Sufficient statistic|Sufficiency]] * [[Plug-in principle|Statistical functional]] ** [[Bootstrapping (statistics)|Bootstrap]] ** [[U-statistic|U]] **[[V-statistic|V]] * [[Optimal decision]] **[[loss function]] * [[Efficiency (statistics)|Efficiency]] * [[Statistical distance]] ** [[Divergence (statistics)|divergence]] * [[Asymptotic theory (statistics)|Asymptotics]] * [[Robust statistics|Robustness]] | group2 = [[Frequentist inference]] | list2 = {{Navbox |child | groupstyle=font-weight:normal; | evenodd = swap | group2 = [[Point estimation]] | list2 = * [[Estimating equations]] ** [[Maximum likelihood]] ** [[Method of moments (statistics)|Method of moments]] ** [[M-estimator]] ** [[Minimum distance estimation|Minimum distance]] * [[Bias of an estimator|Unbiased estimator]]s ** [[Minimum-variance unbiased estimator|Mean-unbiased minimum-variance]] ***[[RaoâBlackwell theorem|RaoâBlackwellization]] ***[[LehmannâScheffĂŠ theorem]] ** [[Median-unbiased estimator|Median unbiased]] * [[Plug-in principle|Plug-in]] |group3=[[Interval estimation]] |list3= *[[Confidence interval]] *[[Pivotal quantity|Pivot]] *[[Likelihood interval]] *[[Prediction interval]] *[[Tolerance interval]] *[[Resampling (statistics)|Resampling]] ** [[Bootstrapping (statistics)|Bootstrap]] <!-- This could also go below in the teting methods, before [[Permutation test]] --> **[[Jackknife resampling|Jackknife]] |group4=[[Statistical hypothesis testing|Testing hypotheses]] |list4= * [[One- and two-tailed tests|1- & 2-tails]] * [[Power (statistics)|Power]] ** [[Uniformly most powerful test]] <!-- *[[Bootstrapping (statistics)|Bootstrap]] appears just above as a resampling CI method --> * [[Permutation test]] **[[Randomization test]] * [[Multiple comparisons]] | group5 = [[Parametric statistics|Parametric tests]] | list5 = * [[Likelihood-ratio test|Likelihood-ratio]] * [[Score test|Score/Lagrange multiplier]] * [[Wald test|Wald]] }} | group3 = [[list of statistical tests|Specific tests]] | list3 = {{Navbox |child | groupstyle=font-weight:normal; | evenodd = swap | list1 = * [[Z-test|''Z''-test {{smaller|(normal)}}]] * [[Student's t-test|Student's ''t''-test]] * [[F-test|''F''-test]] | group2 = [[Goodness of fit]] | list2 = * [[Chi-squared test|Chi-squared]] * [[G-test|''G''-test]] * [[KolmogorovâSmirnov test|KolmogorovâSmirnov]] * [[AndersonâDarling test|AndersonâDarling]] * [[Lilliefors test|Lilliefors]] * [[JarqueâBera test|JarqueâBera]] * [[ShapiroâWilk test|Normality {{smaller|(ShapiroâWilk)}}]] * [[Likelihood-ratio test]] * [[Model selection]] **[[Cross-validation (statistics)|Cross validation]] ** [[Akaike information criterion|AIC]] ** [[Bayesian information criterion|BIC]] | group3 = [[Rank statistics]] | list3 = * [[Sign test|Sign]] ** [[Sample median]] * [[Wilcoxon signed-rank test|Signed rank {{smaller|(Wilcoxon)}}]] ** [[HodgesâLehmann estimator]] * [[MannâWhitney U test|Rank sum {{smaller|(MannâWhitney)}}]] * [[Nonparametric statistics|Nonparametric]] [[Analysis of variance|anova]] ** [[KruskalâWallis test|1-way {{smaller|(KruskalâWallis)}}]] ** [[Friedman test|2-way {{smaller|(Friedman)}}]] ** [[Jonckheere's trend test|Ordered alternative {{smaller|(JonckheereâTerpstra)}}]] * [[Van der Waerden test]] }} | group5 = [[Bayesian inference]] | list5 = * [[Bayesian probability]] ** [[Prior probability|prior]] ** [[Posterior probability|posterior]] * [[Credible interval]] * [[Bayes factor]] * [[Bayes estimator|Bayesian estimator]] ** [[Maximum a posteriori estimation|Maximum posterior estimator]] }} <!-------------------- Correlation / Regression analysis ----------------------> | abbr4 = correlation | section4 = {{hlist|[[Correlation and dependence|Correlation]]|[[Regression analysis]]}} | list4 = {{Navbox |child | groupwidth = 12.5em <!--(should match those above/below)--> | group1 = [[Correlation and dependence|Correlation]] | list1 = * [[Pearson product-moment correlation coefficient|Pearson product-moment]] * [[Partial correlation]] * [[Confounding|Confounding variable]] * [[Coefficient of determination]] | group2 = [[Regression analysis]] | list2 = * [[Errors and residuals]] * [[Regression validation]] * [[Mixed model|Mixed effects models]] * [[Simultaneous equations model]]s * [[Multivariate adaptive regression splines|Multivariate adaptive regression splines (MARS)]] | group3 = [[Linear regression]] | list3 = * [[Simple linear regression]] * [[Ordinary least squares]] * [[General linear model]] * [[Bayesian linear regression|Bayesian regression]] | group4 = Non-standard predictors | list4 = * [[Nonlinear regression]] * [[Nonparametric regression|Nonparametric]] * [[Semiparametric regression|Semiparametric]] * [[Isotonic regression|Isotonic]] * [[Robust regression|Robust]] * [[Heteroscedasticity]] * [[Homoscedasticity]] | group5 = [[Generalized linear model]] | list5 = * [[Exponential family|Exponential families]] * [[Logistic regression|Logistic {{smaller|(Bernoulli)}}]]{{\}}[[Binomial regression|Binomial]]{{\}}[[Poisson regression]]s | group6 = [[Partition of sums of squares|Partition of variance]] | list6 = * [[Analysis of variance|Analysis of variance (ANOVA, anova)]] * [[Analysis of covariance]] * [[Multivariate analysis of variance|Multivariate ANOVA]] * [[Degrees of freedom (statistics)|Degrees of freedom]] }} <!----------- Categorical / Multivariate / Time-series / Survival -------------> | abbr5 = analysis | section5 = [[Categorical variable|Categorical]]{{\}}[[Multivariate statistics|Multivariate]]{{\}}[[Time series|Time-series]]{{\}}[[Survival analysis]] | list5 = {{Navbox |child | groupwidth = 12.5em <!--(should match those above/below)--> | group1 = [[Categorical variable|Categorical]] | list1 = * [[Cohen's kappa]] * [[Contingency table]] * [[Graphical model]] * [[Poisson regression|Log-linear model]] * [[McNemar's test]] * [[CochranâMantelâHaenszel statistics]] | group2 = [[Multivariate statistics|Multivariate]] | list2 = * [[General linear model|Regression]] * [[Multivariate analysis of variance|Manova]] * [[Principal component analysis|Principal components]] * [[Canonical correlation]] * [[Linear discriminant analysis|Discriminant analysis]] * [[Cluster analysis]] * [[Statistical classification|Classification]] * [[Structural equation modeling|Structural equation model]] ** [[Factor analysis]] * [[Multivariate distribution]]s **[[Elliptical distribution]]s ***[[Multivariate normal distribution|Normal]] | group3 = [[Time series|Time-series]] | list3 = {{Navbox |child | groupstyle = font-weight:normal; | group1 = General | list1 = * [[Decomposition of time series|Decomposition]] * [[Trend estimation|Trend]] * [[Stationary process|Stationarity]] * [[Seasonal adjustment]] * [[Exponential smoothing]] * [[Cointegration]] * [[Structural break]] * [[Granger causality]] | group2 = Specific tests | list2 = * [[DickeyâFuller test|DickeyâFuller]] * [[Johansen test|Johansen]] * [[LjungâBox test|Q-statistic {{smaller|(LjungâBox)}}]] * [[DurbinâWatson statistic|DurbinâWatson]] * [[BreuschâGodfrey test|BreuschâGodfrey]] | group3 = [[Time domain]] | list3 = * [[Autocorrelation|Autocorrelation (ACF)]] ** [[Partial autocorrelation function|partial (PACF)]] * [[Cross-correlation|Cross-correlation (XCF)]] * [[Autoregressiveâmoving-average model|ARMA model]] * [[BoxâJenkins method|ARIMA model {{smaller|(BoxâJenkins)}}]] * [[Autoregressive conditional heteroskedasticity|Autoregressive conditional heteroskedasticity (ARCH)]] * [[Vector autoregression|Vector autoregression (VAR)]] | group4 = [[Frequency domain]] | list4 = * [[Spectral density estimation]] * [[Fourier analysis]] * [[Least-squares spectral analysis]] * [[Wavelet]] * [[Whittle likelihood]] }} <!---group4 omitted to maintain alternating list backgrounds---> | group5 = [[Survival analysis|Survival]] | list5 ={{Navbox |child | groupstyle = font-weight:normal; | group1 = [[Survival function]] | list1 = *[[KaplanâMeier estimator|KaplanâMeier estimator (product limit)]] * [[Proportional hazards model]]s * [[Accelerated failure time model|Accelerated failure time (AFT) model]] *[[First-hitting-time model|First hitting time]] | group2 = [[Failure rate|Hazard function]] | list2 = *[[NelsonâAalen estimator]] | group3 = Test | list3 = * [[Log-rank test]] }} }} <!------------------------------ Applications ---------------------------------> | abbr6 = applications | section6 = [[List of fields of application of statistics|Applications]] | list6 = {{Navbox |child | groupwidth = 12.5em <!--(should match those above)--> | group1 = [[Biostatistics]] | list1 = * [[Bioinformatics]] * [[Clinical trial]]s{{\}}[[Clinical study design|studies]] * [[Epidemiology]] * [[Medical statistics]] | group2 = [[Engineering statistics]] | list2 = * [[Chemometrics]] * [[Methods engineering]] * [[Probabilistic design]] * [[Statistical process control|Process]]{{\}}[[quality control]] * [[Reliability engineering|Reliability]] * [[System identification]] | group3 = [[Social statistics]] | list3 = * [[Actuarial science]] * [[Census]] * [[Crime statistics]] * [[Demographic statistics|Demography]] * [[Econometrics]] * [[Jurimetrics]] * [[National accounts]] * [[Official statistics]] * [[Population statistics]] * [[Psychometrics]] | group4 = [[Spatial analysis|Spatial statistics]]<!--and/or in time-series/multivariate analysis--> | list4 = * [[Cartography]] * [[Environmental statistics]] * [[Geographic information system]] * [[Geostatistics]] * [[Kriging]] }} <!-----------------------------------------------------------------------------> | below = * {{icon|Category}}'''[[:Category:Statistics|Category]]''' * '''{{Portal-inline|Mathematics}}''' * {{Icon|commons}}'''[[commons:Category:Statistics|Commons]]''' * {{Icon|WikiProject}} '''[[Wikipedia:WikiProject Statistics|WikiProject]]''' }}<noinclude>{{Documentation}}</noinclude> Summary: Please note that all contributions to Christianpedia may be edited, altered, or removed by other contributors. 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