% Statistics Toolbox% 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.% lognfit - Lognormal parameter estimation.% mle - Maximum likelihood estimation (MLE).% mlecov - Asymptotic covariance matrix of MLE.% nbinfit - Negative binomial parameter estimation.% normfit - Normal parameter estimation.% 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.% hygepdf - Hypergeometric density.% lognpdf - Lognormal density.% mvnpdf - Multivariate normal 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 cdf.% binocdf - Binomial cdf.% cdf - Specified cumulative distribution function.% chi2cdf - Chi square cdf.% ecdf - Empirical cdf (Kaplan-Meier estimate).% evcdf - Extreme value cumulative distribution function.% expcdf - Exponential cdf.% fcdf - F cdf.% gamcdf - Gamma cdf.% geocdf - Geometric cdf.% hygecdf - Hypergeometric cdf.% logncdf - Lognormal cdf.% nbincdf - Negative binomial cdf.% ncfcdf - Noncentral F cdf.% nctcdf - Noncentral t cdf.% ncx2cdf - Noncentral Chi-square cdf.% normcdf - Normal (Gaussian) cdf.% poisscdf - Poisson cdf.% raylcdf - Rayleigh cdf.% tcdf - T cdf.% unidcdf - Discrete uniform cdf.% unifcdf - Uniform cdf.% wblcdf - Weibull cdf.%% 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.% hygeinv - Hypergeometric inverse cumulative distribution function.% icdf - Specified inverse cdf.% 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.% hygernd - Hypergeometric random numbers.% iwishrnd - Inverse Wishart random matrix.% lognrnd - Lognormal random numbers.% mvnrnd - Multivariate normal random numbers.% mvtrnd - Multivariate t random numbers.% 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.% 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.% 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.% 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.% lognlike - Negative lognormal log-likelihood.% nbinlike - Negative likelihood for negative binomial distribution. % normlike - Negative normal likelihood.% wbllike - Negative Weibull log-likelihood.%% Descriptive Statistics.% bootstrp - Bootstrap statistics for any function.% corr - Linear or rank correlation coefficient.% corrcoef - Linear correlation coefficient with confidence intervals. % cov - Covariance.% crosstab - Cross tabulation.% geomean - Geometric mean.% grpstats - Summary statistics by group.% harmmean - Harmonic mean.% iqr - Interquartile range.% kurtosis - Kurtosis.% mad - Median Absolute Deviation.% mean - Sample average (in MATLAB toolbox).% median - 50th percentile of a sample.% moment - Moments of a sample.% 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.% 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.% kruskalwallis - Kruskal-Wallis test (nonparametric one-way anova).% leverage - Regression diagnostic.% lscov - Least-squares estimates with known covariance matrix.% lsqnonneg - Non-negative least-squares.% manova1 - One-way multivariate analysis of variance.% manovacluster - Draw clusters of group means for manova1.% multcompare - Multiple comparisons of means and other estimates.% polyconf - Polynomial evaluation and confidence interval estimation.% polyfit - Least-squares polynomial fitting.% polyval - Predicted values for polynomial functions.% rcoplot - Residuals case order plot.% regress - Multivariate linear regression.% 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.% 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.% ff2n - Two-level full-factorial design.% fracfact - Two-level fractional factorial design.% fullfact - Mixed-level full-factorial design.% hadamard - Hadamard matrices (orthogonal arrays).% lhsdesign - Latin hypercube sampling design.% lhsnorm - Latin hypercube multivariate normal sample.% rowexch - D-optimal design (row exchange algorithm).%% Statistical Process Control (SPC).% capable - Capability indices.% capaplot - Capability plot.% ewmaplot - Exponentially weighted moving average plot.% histfit - Histogram with superimposed normal density.% normspec - Plot normal density between specification limits.% schart - S chart for monitoring variability.% xbarplot - Xbar chart for monitoring the mean.%% 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.%% Plotting.% andrewsplot - Andrews plot for multivariate data.% biplot - Biplot of variable/factor coefficients and scores.% glyphplot - Plot stars or Chernoff faces for multivariate data.% gplotmatrix - Matrix of scatter plots grouped by a common variable. % parallelcoords - Parallel coordinates plot for multivariate data.%% Other Multivariate Methods.% barttest - Bartlett's test for dimensionality.% canoncorr - Cannonical 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.% 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.% ranksum - Wilcoxon rank sum test (independent samples).% signrank - Wilcoxon sign rank test (paired samples).% signtest - Sign test (paired samples).% ztest - Z test.% ttest - One sample t test.% ttest2 - Two sample t test.%% Distribution Testing.% 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.% 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.% 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.% surfht - Interactive contour plot of a data grid.% wblplot - Weibull probability plot.%% 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-delimitted file. % caseread - Read in case names.% casewrite - Write out case names to file.%% Utility Functions.% combnk - Enumeration of all combinations of n objects k at a time. % 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.% betalik1 - Computation function for negative beta log-likelihood. % boxutil - Utility function for boxplot.% 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. % export2wsdlg - Dialog to export data from gui to workspace.% iscatter - Grouped scatter plot using integer grouping.% meansgraph - Interactive means graph for multiple comparisons.% statdisptable - Display table of statistics.%% HTML Demo Functions.% 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.% glmdemo - Generalized linear model demo.% gparetodemo - Generalized Pareto fitting demo.% mdscaledemo - Non-classical multidimensional scaling demo.% mvplotdemo - Multidimensional data plotting demo.% samplesizedemo - Sample size calculation demo.% survivaldemo - Survival data analysis demo.%% Obsolete Functions% 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.。