absolute deviation addedvarplot additive effects alternative hypothesis analysis of variance multivariate N-way one-way two-way andrewsplot ANOVA anova1 anova2 anovan aoctool aoctool demo average linkage bacteria counts barttest baseball odds baseball odds bbdesign Bera-Jarque. See Jarque-Bera Bernoulli random variables beta distribution betacdf betafit betainv betalike betapdf betarnd betastat binocdf binofit binoinv binomial distribution negative. See also negative binomial distribuiton binopdf binornd binostat biplot bootstrap bootstrap sampling box plots Box-Behnken designs generating boxplot candexch candgen canoncorr capability studies capable capaplot casenames reading from file writing to file caseread casewrite ccdesign cdf cdf definition functions cdfplot central composite designs generating Central Limit Theorem centroid linkage Chatterjee and Hadi example chi2cdf chi2inv chi2pdf chi2rnd chi2stat chi-square distributions circuit boards City Block metric in cluster analysis classical multidimensional scaling cmdscale function overview reconstructing a map simple example classification trees functions See also decision trees classify cluster cluster analysis functions hierarchical clustering K-means clustering cluster tree creation from data from linkage output cluster trees inconsistency coefficient plotting clusterdata cmdscale coin combnk comparisons, multiple complete linkage confidence intervals hypothesis tests nonlinear regression control charts EWMA charts S charts Xbar charts cophenet cophenetic correlation coefficient defined cordexch corr corrcoef correlation coefficients cov Cp index Cp index Cpk index Cpk index crosstab cumulative distribution function (cdf) empirical functions graphing an estimate curve fitting polynomials demo data partitioning K-means clustering data sets statistical examples daugment dcovary decision trees computing error rate computing response values creating creating subtrees displaying example fitting functions pruning demos design of experiments list of dendrogram dendrogram density estimation ksdensity function descriptive statistics functions design of experiments Box-Behnken designs central composite designs D-optimal designs fractional factorial designs full factorial designs functions response surface designs dimension reduction common factor analysis PCA from covariance matrix PCA from raw data matrix PCA residuals discrete uniform distribution dissimilarity matrix creating distance matrix creating distribution fitting tool distribution testing functions distributions probability supported visualizing disttool disttool demo DOE. See design of experiments D-optimal designs creating from candidate set generating candidate set dummyvar ecdf ecdfhist efinv empirical cumulative distribution function ecdf function erf error function errorbar Euclidean distance in cluster analysis evcdf evfit evlike evpdf evrnd evstat EWMA charts ewmaplot expcdf expfit expinv explike exponential distribution exppdf exprnd expstat extrapolated extreme value distribution F distributions F statistic factor analysis maximum likelihood factoran factorial designs fractional full generating fractional generating full fcdf ff2n file I/O functions finv floppy disks fpdf fracfact fractional factorial designs generating friedman Friedman's test frnd fstat fsurfht full factorial designs generating fullfact furthest neighbor linkage gamcdf gamfit gaminv gamlike gamma distribution gampdf gamrnd gamstat Gaussian geocdf geoinv geomean geometric distribution geopdf geornd geostat gline glmdemo glmdemo demo glmfit glmval glyphplot gname gplotmatrix group mean clusters, plot grouped plot matrix grpstats gscatter Guinness beer Guinness beer harmmean hat matrix hidden Markov models example functions hierarchical clustering basic procedure computing inconsistency coefficient creating cluster tree creating clusters creating clusters from data creating clusters from linkage output depth of comparison determining proximity evaluating cluster formation finding dissimilarities betwen objects finding similarities beween objects grouping objects inconsistency coefficient plotting cluster trees hierarchiical clustering cophenetic correlation coefficient hist hist3 histfit hmmdecode hmmestimate hmmgenerate hmmtrain hmmviterbi Hotelling's T squared hougen Hougen-Watson model hygecdf hygeinv hygepdf hygernd hygestat hypergeometric distribution hypotheses hypothesis tests functions icdf incomplete beta function incomplete gamma function inconsistency coefficient inconsistent inspector interaction interpolated interquartile range (iqr) inverse cdf inverse cumulative distribution functions iqr iwishrnd Jarque-Bera test jbtest Kaplan-Meier cumulative distribution function kernel bandwidth kernel smoothing function K-means clustering cluster separation creating clusters example local minima number of clusters overview silhouette plot kmeansdata partitioning K-means clustering kruskalwallis Kruskal-Wallis test ksdensity kstest kstest2 kurtosis latin hypercube sample normal distribution leverage lhsdesign lhsnorm light bulbs, life of likelihood function Lilliefors test lillietest linear models functions generalized linear transformation Procrustes linkage logncdf lognfit logninv lognlike lognormal distribution lognpdf lognrnd lognstat lottery lsline LU factorizations mad mahal Mahalanobis distance in cluster analysis MANOVA manova1 manovacluster Markov chains maximum likelihood factor analysis MDS See also multidimensional scaling mdscale mean mean of probability distribution Mean Squares (MS) measures of central tendency dispersion median metric multidimensional scaling See also classical multidimensional scaling Minkowski metric in cluster analysis mle mlecov models linear nonlinear moment moments of distribution functions Monte Carlo simulation multcompare multidimensional arrays classical (metric) scaling multidimensional scaling (MDS) classical (metric) multiple linear regression multivariate analysis of variance example multivariate statistics analysis of variance cluster analysis functions hierarchical clustering K-means clustering Principal Components Analysis mvnpdf mvnrnd mvtrnd nancov nanmax nanmean nanmedian nanmin NaNs nanstd nansum nanvar nbincdf nbinfit nbininv nbinpdf nbinrnd nbinstat ncfcdf ncfinv ncfpdf ncfrnd ncfstat nctcdf nctinv nctpdf nctrnd nctstat ncx2cdf ncx2inv ncx2pdf ncx2rnd ncx2stat nearest neighbor linkage negative binomial distribution confidence intervals cumulative distribution function (cdf) definition inverse cumulative distribution function (cdf) mean and variance modeling number of auto accidents nbincdf function nbininv function nbinpdf function parameter estimates probability density function (pdf) random matrices Newton's method nlinfit nlintool nlintool demo nlparci nlpredci noncentral F distribution nonlinear regression functions nonlinear regression models nonparametric testing functions normal distribution normal probability plots normal probability plots normalizing a dataset using zscore normcdf normdemo normfit norminv normlike normpdf normplot normrnd normstat notation, mathematical conventions null null hypothesis one-way analysis of variance (ANOVA) options parameters possible values outliers parallelcoords parameter estimation functions pareto Pascal, Blaise PCA. See Principal Components Analysis pcacov pcares pdf pdf definition functions pdist percentiles perms plots plotting statistical functions poisscdf poissfit poissinv Poisson distribution poisspdf poissrnd poisstat polyconf polyfit polynomials curve fitting demo polytool polytool demo polyval popcorn popcorn prctile Principal Components Analysis (PCA) component scores component variances Hotelling's T squared principal components quality of life example Scree plot princomp probability density estimation comparing estimates function kernel bandwidth kernel smoothing functioon probability density function (pdf) definition functions probability distribution mean and variance probability distributions demo functions probplot process control statistical procrustes Procrustes Analysis p-value p-value qqplot QR decomposition quality assurance quantile-quantile plots quantile-quantile plots random random number generation direct functions inverted rejection random numbers random sample generation demo random samples inverse Wishart latin hypercube latin hypercube with normal distribution Wishart randsample randtool randtool demo range ranksum raylcdf raylfit raylinv raylpdf raylrnd raylstat rcoplot reconstruction map from inter-city distances refcurve references refline regress regression nonlinear robust stepwise regression trees functions See also decision trees regstats relative efficiency residuals response surface designs Response Surface Methodology (RSM) respoonse surface designs Box-Behnken central composite ridge robust robust linear fit robustdemo demo robustdemo function robustfit rotatefactors rowexch rsmdemo rsmdemo demo R-square rstool rstool demo S charts scaling arrays classical multidimensional scatter plots grouped schart Scree plot segmentation analysis significance level signrank signtest silhouette similarity matrix creating simulation single linkage skewness skewness squareform standard normal Standardized Euclidean distance in cluster analysis statget statistical plots Statistical Process Control capability studies control charts functions statistical references statistically significant statistically significant statistically significant statset stepwise stepwise stepwise regression stepwisefit Sum of Squares (SS) surfht symmetric t distributions noncentral tab-delimited data reading from file tabular data reading from file tabulate taxonomy analysis tblread tblwrite tcdf tdfread tinv tpdf treefit treeprune trees See also decision trees See also decision trees treeshow treetest treeval trimmean trnd tstat ttest ttest2 two-way ANOVA unbiased unidcdf unidinv unidpdf unidrnd unidstat unifcdf unifinv unifit uniform distribution unifpdf unifrnd unifstat var variance of probability distribution ward linkage wblcdf wblfit wblinv wbllike wblpdf wblplot wblrnd wblstat Weibull distribution Weibull probability plots Weibull, Waloddi whiskers Wishart random matrix inverse wishrnd x2fx Xbar charts xbarplot zscore ztest