% Statistics Toolbox % Version 6.1 (R2007b) 02-Aug-2007 % % Distributions. % Parameter estimation. % betafit - Beta parameter estimation. % binofit - Binomial parameter estimation. % dfittool - Distribution fitting tool. % evfit - Extreme value parameter estimation. % expfit - Exponential parameter estimation. % gamfit - Gamma parameter estimation. % gevfit - Generalized extreme value parameter estimation. % gmdistribution - Gaussian mixture model estimation. % gpfit - Generalized Pareto parameter estimation. % lognfit - Lognormal parameter estimation. % mle - Maximum likelihood estimation (MLE). % mlecov - Asymptotic covariance matrix of MLE. % nbinfit - Negative binomial parameter estimation. % normfit - Normal parameter estimation. % paretotails - Empirical cdf with generalized Pareto tails. % poissfit - Poisson parameter estimation. % raylfit - Rayleigh parameter estimation. % unifit - Uniform parameter estimation. % wblfit - Weibull parameter estimation. % % Probability density functions (pdf). % betapdf - Beta density. % binopdf - Binomial density. % chi2pdf - Chi square density. % evpdf - Extreme value density. % exppdf - Exponential density. % fpdf - F density. % gampdf - Gamma density. % geopdf - Geometric density. % gevpdf - Generalized extreme value density. % gppdf - Generalized Pareto density. % hygepdf - Hypergeometric density. % lognpdf - Lognormal density. % mnpdf - Multinomial probability density function. % mvnpdf - Multivariate normal density. % mvtpdf - Multivariate t density. % nbinpdf - Negative binomial density. % ncfpdf - Noncentral F density. % nctpdf - Noncentral t density. % ncx2pdf - Noncentral Chi-square density. % normpdf - Normal (Gaussian) density. % pdf - Density function for a specified distribution. % poisspdf - Poisson density. % raylpdf - Rayleigh density. % tpdf - T density. % unidpdf - Discrete uniform density. % unifpdf - Uniform density. % wblpdf - Weibull density. % % Cumulative Distribution functions (cdf). % betacdf - Beta cumulative distribution function. % binocdf - Binomial cumulative distribution function. % cdf - Specified cumulative distribution function. % chi2cdf - Chi square cumulative distribution function. % ecdf - Empirical cumulative distribution function (Kaplan-Meier estimate). % evcdf - Extreme value cumulative distribution function. % expcdf - Exponential cumulative distribution function. % fcdf - F cumulative distribution function. % gamcdf - Gamma cumulative distribution function. % geocdf - Geometric cumulative distribution function. % gevcdf - Generalized extreme value cumulative distribution function. % gpcdf - Generalized Pareto cumulative distribution function. % hygecdf - Hypergeometric cumulative distribution function. % logncdf - Lognormal cumulative distribution function. % mvncdf - Multivariate normal cumulative distribution function. % mvtcdf - Multivariate t cumulative distribution function. % nbincdf - Negative binomial cumulative distribution function. % ncfcdf - Noncentral F cumulative distribution function. % nctcdf - Noncentral t cumulative distribution function. % ncx2cdf - Noncentral Chi-square cumulative distribution function. % normcdf - Normal (Gaussian) cumulative distribution function. % poisscdf - Poisson cumulative distribution function. % raylcdf - Rayleigh cumulative distribution function. % tcdf - T cumulative distribution function. % unidcdf - Discrete uniform cumulative distribution function. % unifcdf - Uniform cumulative distribution function. % wblcdf - Weibull cumulative distribution function. % % Critical Values of Distribution functions. % betainv - Beta inverse cumulative distribution function. % binoinv - Binomial inverse cumulative distribution function. % chi2inv - Chi square inverse cumulative distribution function. % evinv - Extreme value inverse cumulative distribution function. % expinv - Exponential inverse cumulative distribution function. % finv - F inverse cumulative distribution function. % gaminv - Gamma inverse cumulative distribution function. % geoinv - Geometric inverse cumulative distribution function. % gevinv - Generalized extreme value inverse cumulative distribution function. % gpinv - Generalized Pareto inverse cumulative distribution function. % hygeinv - Hypergeometric inverse cumulative distribution function. % icdf - Specified inverse cumulative distribution function. % logninv - Lognormal inverse cumulative distribution function. % nbininv - Negative binomial inverse distribution function. % ncfinv - Noncentral F inverse cumulative distribution function. % nctinv - Noncentral t inverse cumulative distribution function. % ncx2inv - Noncentral Chi-square inverse distribution function. % norminv - Normal (Gaussian) inverse cumulative distribution function. % poissinv - Poisson inverse cumulative distribution function. % raylinv - Rayleigh inverse cumulative distribution function. % tinv - T inverse cumulative distribution function. % unidinv - Discrete uniform inverse cumulative distribution function. % unifinv - Uniform inverse cumulative distribution function. % wblinv - Weibull inverse cumulative distribution function. % % Random Number Generators. % betarnd - Beta random numbers. % binornd - Binomial random numbers. % chi2rnd - Chi square random numbers. % evrnd - Extreme value random numbers. % exprnd - Exponential random numbers. % frnd - F random numbers. % gamrnd - Gamma random numbers. % geornd - Geometric random numbers. % gevrnd - Generalized extreme value random numbers. % gprnd - Generalized Pareto inverse random numbers. % hygernd - Hypergeometric random numbers. % iwishrnd - Inverse Wishart random matrix. % johnsrnd - Random numbers from the Johnson system of distributions. % lognrnd - Lognormal random numbers. % mhsample - Metropolis-Hastings algorithm. % mnrnd - Multinomial random vectors. % mvnrnd - Multivariate normal random vectors. % mvtrnd - Multivariate t random vectors. % nbinrnd - Negative binomial random numbers. % ncfrnd - Noncentral F random numbers. % nctrnd - Noncentral t random numbers. % ncx2rnd - Noncentral Chi-square random numbers. % normrnd - Normal (Gaussian) random numbers. % pearsrnd - Random numbers from the Pearson system of distributions. % poissrnd - Poisson random numbers. % randg - Gamma random numbers (unit scale). % random - Random numbers from specified distribution. % randsample - Random sample from finite population. % raylrnd - Rayleigh random numbers. % slicesample - Slice sampling method. % trnd - T random numbers. % unidrnd - Discrete uniform random numbers. % unifrnd - Uniform random numbers. % wblrnd - Weibull random numbers. % wishrnd - Wishart random matrix. % % Statistics. % betastat - Beta mean and variance. % binostat - Binomial mean and variance. % chi2stat - Chi square mean and variance. % evstat - Extreme value mean and variance. % expstat - Exponential mean and variance. % fstat - F mean and variance. % gamstat - Gamma mean and variance. % geostat - Geometric mean and variance. % gevstat - Generalized extreme value mean and variance. % gpstat - Generalized Pareto inverse mean and variance. % hygestat - Hypergeometric mean and variance. % lognstat - Lognormal mean and variance. % nbinstat - Negative binomial mean and variance. % ncfstat - Noncentral F mean and variance. % nctstat - Noncentral t mean and variance. % ncx2stat - Noncentral Chi-square mean and variance. % normstat - Normal (Gaussian) mean and variance. % poisstat - Poisson mean and variance. % raylstat - Rayleigh mean and variance. % tstat - T mean and variance. % unidstat - Discrete uniform mean and variance. % unifstat - Uniform mean and variance. % wblstat - Weibull mean and variance. % % Likelihood functions. % betalike - Negative beta log-likelihood. % evlike - Negative extreme value log-likelihood. % explike - Negative exponential log-likelihood. % gamlike - Negative gamma log-likelihood. % gevlike - Generalized extreme value log-likelihood. % gplike - Generalized Pareto inverse log-likelihood. % lognlike - Negative lognormal log-likelihood. % nbinlike - Negative binomial log-likelihood. % normlike - Negative normal likelihood. % wbllike - Negative Weibull log-likelihood. % % Descriptive Statistics. % bootci - Bootstrap confidence intervals. % bootstrp - Bootstrap statistics. % corr - Linear or rank correlation coefficient. % corrcoef - Linear correlation coefficient (in MATLAB toolbox). % cov - Covariance (in MATLAB toolbox). % crosstab - Cross tabulation. % geomean - Geometric mean. % grpstats - Summary statistics by group. % harmmean - Harmonic mean. % iqr - Interquartile range. % jackknife - Jackknife statistics. % kurtosis - Kurtosis. % mad - Median Absolute Deviation. % mean - Sample average (in MATLAB toolbox). % median - 50th percentile of a sample (in MATLAB toolbox). % mode - Mode, or most frequent value in a sample (in MATLAB toolbox). % moment - Moments of a sample. % nancov - Covariance matrix ignoring NaNs. % nanmax - Maximum ignoring NaNs. % nanmean - Mean ignoring NaNs. % nanmedian - Median ignoring NaNs. % nanmin - Minimum ignoring NaNs. % nanstd - Standard deviation ignoring NaNs. % nansum - Sum ignoring NaNs. % nanvar - Variance ignoring NaNs. % partialcorr - Linear or rank partial correlation coefficient. % prctile - Percentiles. % quantile - Quantiles. % range - Range. % skewness - Skewness. % std - Standard deviation (in MATLAB toolbox). % tabulate - Frequency table. % trimmean - Trimmed mean. % var - Variance (in MATLAB toolbox). % % Linear Models. % addedvarplot - Created added-variable plot for stepwise regression. % anova1 - One-way analysis of variance. % anova2 - Two-way analysis of variance. % anovan - n-way analysis of variance. % aoctool - Interactive tool for analysis of covariance. % dummyvar - Dummy-variable coding. % friedman - Friedman's test (nonparametric two-way anova). % glmfit - Generalized linear model fitting. % glmval - Evaluate fitted values for generalized linear model. % invpred - Inverse prediction for simple linear regression. % kruskalwallis - Kruskal-Wallis test (nonparametric one-way anova). % leverage - Regression diagnostic. % lscov - Ordinary, weighted, or generalized least-squares (in MATLAB toolbox). % lsqnonneg - Non-negative least-squares (in MATLAB toolbox). % manova1 - One-way multivariate analysis of variance. % manovacluster - Draw clusters of group means for manova1. % mnrfit - Nominal or ordinal multinomial regression model fitting. % mnrval - Predict values for nominal or ordinal multinomial regression. % multcompare - Multiple comparisons of means and other estimates. % mvregress - Multivariate regression with missing data. % mvregresslike - Negative log-likelihood for multivariate regression. % polyconf - Polynomial evaluation and confidence interval estimation. % polyfit - Least-squares polynomial fitting (in MATLAB toolbox). % polyval - Predicted values for polynomial functions (in MATLAB toolbox). % rcoplot - Residuals case order plot. % regress - Multiple linear regression using least squares. % regstats - Regression diagnostics. % ridge - Ridge regression. % robustfit - Robust regression model fitting. % rstool - Multidimensional response surface visualization (RSM). % stepwise - Interactive tool for stepwise regression. % stepwisefit - Non-interactive stepwise regression. % x2fx - Factor settings matrix (x) to design matrix (fx). % % Nonlinear Models. % coxphfit - Cox proportional hazards regression. % nlinfit - Nonlinear least-squares data fitting. % nlintool - Interactive graphical tool for prediction in nonlinear models. % nlpredci - Confidence intervals for prediction. % nlparci - Confidence intervals for parameters. % % Design of Experiments (DOE). % bbdesign - Box-Behnken design. % candexch - D-optimal design (row exchange algorithm for candidate set). % candgen - Candidates set for D-optimal design generation. % ccdesign - Central composite design. % cordexch - D-optimal design (coordinate exchange algorithm). % daugment - Augment D-optimal design. % dcovary - D-optimal design with fixed covariates. % fracfactgen - Fractional factorial design generators. % ff2n - Two-level full-factorial design. % fracfact - Two-level fractional factorial design. % fullfact - Mixed-level full-factorial design. % hadamard - Hadamard matrices (orthogonal arrays) (in MATLAB toolbox). % lhsdesign - Latin hypercube sampling design. % lhsnorm - Latin hypercube multivariate normal sample. % rowexch - D-optimal design (row exchange algorithm). % % Statistical Process Control (SPC). % capability - Capability indices. % capaplot - Capability plot. % controlchart - Shewhart control chart. % controlrules - Control rules (Western Electric or Nelson) for SPC data. % gagerr - Gage repeatability and reproducibility (R&R) study. % histfit - Histogram with superimposed normal density. % normspec - Plot normal density between specification limits. % runstest - Runs test for randomness. % % Multivariate Statistics. % Cluster Analysis. % cophenet - Cophenetic coefficient. % cluster - Construct clusters from LINKAGE output. % clusterdata - Construct clusters from data. % dendrogram - Generate dendrogram plot. % inconsistent - Inconsistent values of a cluster tree. % kmeans - k-means clustering. % linkage - Hierarchical cluster information. % pdist - Pairwise distance between observations. % silhouette - Silhouette plot of clustered data. % squareform - Square matrix formatted distance. % % Dimension Reduction Techniques. % factoran - Factor analysis. % pcacov - Principal components from covariance matrix. % pcares - Residuals from principal components. % princomp - Principal components analysis from raw data. % rotatefactors - Rotation of FA or PCA loadings. % % Copulas % copulacdf - Cumulative probability function for a copula. % copulafit - Fit a parametric copula to data. % copulaparam - Copula parameters as a function of rank correlation. % copulapdf - Probability density function for a copula. % copularnd - Random vectors from a copula. % copulastat - Rank correlation for a copula. % % Plotting. % andrewsplot - Andrews plot for multivariate data. % biplot - Biplot of variable/factor coefficients and scores. % interactionplot - Interaction plot for factor effects. % maineffectsplot - Main effects plot for factor effects. % glyphplot - Plot stars or Chernoff faces for multivariate data. % gplotmatrix - Matrix of scatter plots grouped by a common variable. % multivarichart - Multi-vari chart of factor effects. % parallelcoords - Parallel coordinates plot for multivariate data. % % Other Multivariate Methods. % barttest - Bartlett's test for dimensionality. % canoncorr - Canonical correlation analysis. % cmdscale - Classical multidimensional scaling. % classify - Linear discriminant analysis. % mahal - Mahalanobis distance. % manova1 - One-way multivariate analysis of variance. % mdscale - Metric and non-metric multidimensional scaling. % mvregress - Multivariate regression with missing data. % procrustes - Procrustes analysis. % % Decision Tree Techniques. % treedisp - Display decision tree. % treefit - Fit data using a classification or regression tree. % treeprune - Prune decision tree or creating optimal pruning sequence. % treetest - Estimate error for decision tree. % treeval - Compute fitted values using decision tree. % % Hypothesis Tests. % ansaribradley - Ansari-Bradley two-sample test for equal dispersions. % dwtest - Durbin-Watson test for autocorrelation in linear regression. % linhyptest - Linear hypothesis test on parameter estimates. % ranksum - Wilcoxon rank sum test (independent samples). % runstest - Runs test for randomness. % sampsizepwr - Sample size and power calculation for hypothesis test. % signrank - Wilcoxon sign rank test (paired samples). % signtest - Sign test (paired samples). % ttest - One sample t test. % ttest2 - Two sample t test. % vartest - One-sample test of variance. % vartest2 - Two-sample F test for equal variances. % vartestn - Test for equal variances across multiple groups. % ztest - Z test. % % Distribution Testing. % chi2gof - Chi-square goodness-of-fit test. % jbtest - Jarque-Bera test of normality. % kstest - Kolmogorov-Smirnov test for one sample. % kstest2 - Kolmogorov-Smirnov test for two samples. % lillietest - Lilliefors test of normality. % % Nonparametric Functions. % friedman - Friedman's test (nonparametric two-way anova). % kruskalwallis - Kruskal-Wallis test (nonparametric one-way anova). % ksdensity - Kernel smoothing density estimation. % ranksum - Wilcoxon rank sum test (independent samples). % signrank - Wilcoxon sign rank test (paired samples). % signtest - Sign test (paired samples). % % Hidden Markov Models. % hmmdecode - Calculate HMM posterior state probabilities. % hmmestimate - Estimate HMM parameters given state information. % hmmgenerate - Generate random sequence for HMM. % hmmtrain - Calculate maximum likelihood estimates for HMM parameters. % hmmviterbi - Calculate most probable state path for HMM sequence. % % Statistical Plotting. % andrewsplot - Andrews plot for multivariate data. % biplot - Biplot of variable/factor coefficients and scores. % boxplot - Boxplots of a data matrix (one per column). % cdfplot - Plot of empirical cumulative distribution function. % ecdf - Empirical cdf (Kaplan-Meier estimate). % ecdfhist - Histogram calculated from empirical cdf. % fsurfht - Interactive contour plot of a function. % gline - Point, drag and click line drawing on figures. % glyphplot - Plot stars or Chernoff faces for multivariate data. % gname - Interactive point labeling in x-y plots. % gplotmatrix - Matrix of scatter plots grouped by a common variable. % gscatter - Scatter plot of two variables grouped by a third. % hist - Histogram (in MATLAB toolbox). % hist3 - Three-dimensional histogram of bivariate data. % ksdensity - Kernel smoothing density estimation. % lsline - Add least-square fit line to scatter plot. % normplot - Normal probability plot. % parallelcoords - Parallel coordinates plot for multivariate data. % probplot - Probability plot. % qqplot - Quantile-Quantile plot. % refcurve - Reference polynomial curve. % refline - Reference line. % scatterhist - 2D scatter plot with marginal histograms. % surfht - Interactive contour plot of a data grid. % wblplot - Weibull probability plot. % % Data Objects % dataset - Create datasets from workspace variables or files. % nominal - Create arrays of nominal data. % ordinal - Create arrays of ordinal data. % % Statistics Demos. % aoctool - Interactive tool for analysis of covariance. % disttool - GUI tool for exploring probability distribution functions. % polytool - Interactive graph for prediction of fitted polynomials. % randtool - GUI tool for generating random numbers. % rsmdemo - Reaction simulation (DOE, RSM, nonlinear curve fitting). % robustdemo - Interactive tool to compare robust and least squares fits. % % File Based I/O. % tblread - Read in data in tabular format. % tblwrite - Write out data in tabular format to file. % tdfread - Read in text and numeric data from tab-delimited file. % caseread - Read in case names. % casewrite - Write out case names to file. % % Utility Functions. % cholcov - Cholesky-like decomposition for covariance matrix. % combnk - Enumeration of all combinations of n objects k at a time. % corrcov - Convert covariance matrix to correlation matrix. % grp2idx - Convert grouping variable to indices and array of names. % hougen - Prediction function for Hougen model (nonlinear example). % statget - Get STATS options parameter value. % statset - Set STATS options parameter value. % tiedrank - Compute ranks of sample, adjusting for ties. % zscore - Normalize matrix columns to mean 0, variance 1. % Other Utility Functions. % cdfcalc - Computation function for empirical cdf. % dfgetset - Getting and setting dfittool parameters. % dfswitchyard - Invoking private functions for dfittool. % distchck - Argument checking for cdf, pdf and inverse functions. % evnegloglike - Negative log-likelihood for the extreme value distribution. % export2wsdlg - Dialog to export data from gui to workspace (in MATLAB toolbox). % iscatter - Grouped scatter plot using integer grouping. % logn3fit - 3-param lognormal fit function for cdffitdemo. % meansgraph - Interactive means graph for multiple comparisons. % statdisptable - Display table of statistics. % statissqrbrktliteral - Was an array created from the literal '[]'? % wgtnormfit - Weighted normal fit for customdist1demo. % wgtnormfit2 - Weighted normal fit based on log sigma for customdist1demo. % % HTML Demo Functions. % bayesdemo - Bayesian analysis demo. % cdffitdemo - CDF fitting demo. % cfitdfitdemo - Curve fitting vs. distribution fitting demo. % classdemo - Classification demo. % clusterdemo - Cluster analysis demo. % cmdscaledemo - Classical multidimensional scaling demo. % copulademo - Copula simulation demo. % customdist1demo - Custom distribution fitting demo. % customdist2demo - Custom distribution fitting demo. % factorandemo - Factor analysis demo. % gevdemo - Generalized extreme value fitting demo. % glmdemo - Generalized linear model demo. % gparetodemo - Generalized Pareto fitting demo. % mdscaledemo - Non-classical multidimensional scaling demo. % mvplotdemo - Multidimensional data plotting demo. % orthoregdemo - Orthogonal regression demo. % samplesizedemo - Sample size calculation demo. % stattsdemo - Statistics on time series demo. % survivaldemo - Survival data analysis demo. % wnlsdemo - Weighted nonlinear least squares demo. % xform2lineardemo - Transforming nonlinear to linear demo. % % Obsolete Functions % betalik1 - replaced by betalike. % capable - replaced by capability. % ewmaplot - replaced by controlchart. % schart - replaced by controlchart. % weibcdf - Weibull cdf, old parameter definitions. % weibfit - Weibull fitting, old parameter definitions. % weibinv - Weibull inv cdf, old parameter definitions. % weiblike - Weibull likelihood, old parameter definitions. % weibpdf - Weibull pdf, old parameter definitions. % weibplot - Weibull prob plot, old parameter definitions. % weibrnd - Weibull random numbers, old parameter definitions. % weibstat - Weibull statistics, old parameter definitions. % xbarplot - replaced by controlchart. % Copyright 1993-2007 The MathWorks, Inc. % Generated from Contents.m_template revision 2.44.4.21 $Date: 2007/06/14 05:24:56 $