Function Reference

Alphabetical List
Click for Class Reference

File I/O

caseread	Read case names from file
casewrite	Write case names to file
tblread	Read tabular data from file
tblwrite	Write tabular data to file
tdfread	Read tab-delimited file
xptread	Create dataset array from data stored in a SAS XPORT format file

Data Organization

Categorical Arrays
Dataset Arrays
Grouped Data

Categorical Arrays

addlevels (categorical)	Add levels to categorical array
cat (categorical)	Concatenate categorical arrays
categorical	Create categorical array
cellstr (categorical)	Convert categorical array to cell array of strings
char (categorical)	Convert categorical array to character array
circshift (categorical)	Shift categorical array circularly
ctranspose (categorical)	Transpose categorical matrix
double (categorical)	Convert categorical array to double array
droplevels (categorical)	Drop levels
end (categorical)	Last index in indexing expression for categorical array
flipdim (categorical)	Flip categorical array along specified dimension
fliplr (categorical)	Flip categorical matrix in left/right direction
flipud (categorical)	Flip categorical matrix in up/down direction
getlabels (categorical)	Access categorical array labels
getlevels (categorical)	Get categorical array levels
horzcat (categorical)	Horizontal concatenation for categorical arrays
int16 (categorical)	Convert categorical array to signed 16-bit integer array
int32 (categorical)	Convert categorical array to signed 32-bit integer array
int64 (categorical)	Convert categorical array to signed 64-bit integer array
int8 (categorical)	Convert categorical array to signed 8-bit integer array
intersect (categorical)	Set intersection for categorical arrays
ipermute (categorical)	Inverse permute dimensions of categorical array
isempty (categorical)	True for empty categorical array
isequal (categorical)	True if categorical arrays are equal
islevel (categorical)	Test for levels
ismember (categorical)	True for elements of categorical array in set
ismember (ordinal)	Test for membership
isscalar (categorical)	True if categorical array is scalar
isundefined (categorical)	Test for undefined elements
isvector (categorical)	True if categorical array is vector
length (categorical)	Length of categorical array
levelcounts (categorical)	Element counts by level
mergelevels (ordinal)	Merge levels
ndims (categorical)	Number of dimensions of categorical array
nominal	Construct nominal categorical array
numel (categorical)	Number of elements in categorical array
ordinal	Construct ordinal categorical array
permute (categorical)	Permute dimensions of categorical array
reorderlevels (categorical)	Reorder levels
repmat (categorical)	Replicate and tile categorical array
reshape (categorical)	Resize categorical array
rot90 (categorical)	Rotate categorical matrix 90 degrees
setdiff (categorical)	Set difference for categorical arrays
setlabels (categorical)	Label levels
setxor (categorical)	Set exclusive-or for categorical arrays
shiftdim (categorical)	Shift dimensions of categorical array
single (categorical)	Convert categorical array to single array
size (categorical)	Size of categorical array
sort (ordinal)	Sort elements of ordinal array
sortrows (ordinal)	Sort rows
squeeze (categorical)	Squeeze singleton dimensions from categorical array
summary (categorical)	Summary statistics for categorical array
times (categorical)	Product of categorical arrays
transpose (categorical)	Transpose categorical matrix
uint16 (categorical)	Convert categorical array to unsigned 16-bit integers
uint32 (categorical)	Convert categorical array to unsigned 32-bit integers
uint64 (categorical)	Convert categorical array to unsigned 64-bit integers
uint8 (categorical)	Convert categorical array to unsigned 8-bit integers
union (categorical)	Set union for categorical arrays
unique (categorical)	Unique values in categorical array
vertcat (categorical)	Vertical concatenation for categorical arrays

Dataset Arrays

cat (dataset)	Concatenate dataset arrays
dataset	Construct dataset array
datasetfun (dataset)	Apply function to dataset array variables
double (dataset)	Convert dataset variables to double array
end (dataset)	Last index in indexing expression for dataset array
export (dataset)	Write dataset array to file
get (dataset)	Access dataset array properties
grpstats (dataset)	Summary statistics by group for dataset arrays
horzcat (dataset)	Horizontal concatenation for dataset arrays
isempty (dataset)	True for empty dataset array
join (dataset)	Merge observations
length (dataset)	Length of dataset array
ndims (dataset)	Number of dimensions of dataset array
numel (dataset)	Number of elements in dataset array
replacedata (dataset)	Replace dataset variables
set (dataset)	Set and display properties
single (dataset)	Convert dataset variables to single array
size (dataset)	Size of dataset array
sortrows (dataset)	Sort rows of dataset array
stack (dataset)	Stack data from multiple variables into single variable
summary (dataset)	Print summary of dataset array
unique (dataset)	Unique observations in dataset array
unstack (dataset)	Unstack data from single variable into multiple variables
vertcat (dataset)	Vertical concatenation for dataset arrays

Grouped Data

gplotmatrix	Matrix of scatter plots by group
grp2idx	Create index vector from grouping variable
grpstats	Summary statistics by group
gscatter	Scatter plot by group

Descriptive Statistics

Summaries
Measures of Central Tendency
Measures of Dispersion
Measures of Shape
Statistics Resampling
Data with Missing Values
Data Correlation

Summaries

crosstab	Cross-tabulation
grpstats	Summary statistics by group
summary (categorical)	Summary statistics for categorical array
tabulate	Frequency table

Measures of Central Tendency

geomean	Geometric mean
harmmean	Harmonic mean
trimmean	Mean excluding outliers

Measures of Dispersion

iqr	Interquartile range
mad	Mean or median absolute deviation
moment	Central moments
range	Range of values

Measures of Shape

kurtosis	Kurtosis
moment	Central moments
prctile	Percentiles
quantile	Quantiles
skewness	Skewness
zscore	Standardized z-scores

Statistics Resampling

bootci	Bootstrap confidence interval
bootstrp	Bootstrap sampling
jackknife	Jackknife sampling

Data with Missing Values

nancov	Covariance ignoring `NaN` values
nanmax	Maximum ignoring `NaN` values
nanmean	Mean ignoring `NaN` values
nanmedian	Median ignoring `NaN` values
nanmin	Minimum ignoring `NaN` values
nanstd	Standard deviation ignoring `NaN` values
nansum	Sum ignoring `NaN` values
nanvar	Variance, ignoring `NaN` values

Data Correlation

canoncorr	Canonical correlation
cholcov	Cholesky-like covariance decomposition
cophenet	Cophenetic correlation coefficient
corr	Linear or rank correlation
corrcov	Convert covariance matrix to correlation matrix
partialcorr	Linear or rank partial correlation coefficients
tiedrank	Rank adjusted for ties

Statistical Visualization

Distribution Plots
Scatter Plots
ANOVA Plots
Regression Plots
Multivariate Plots
Cluster Plots
Classification Plots
DOE Plots
SPC Plots

Distribution Plots

boxplot	Box plot
cdfplot	Empirical cumulative distribution function plot
dfittool	Interactive distribution fitting
disttool	Interactive density and distribution plots
ecdfhist	Empirical cumulative distribution function histogram
fsurfht	Interactive contour plot
hist3	Bivariate histogram
histfit	Histogram with normal fit
normplot	Normal probability plot
normspec	Normal density plot between specifications
pareto	Pareto chart
probplot	Probability plots
qqplot	Quantile-quantile plot
randtool	Interactive random number generation
scatterhist	Scatter plot with marginal histograms
surfht	Interactive contour plot
wblplot	Weibull probability plot

Scatter Plots

gline	Interactively add line to plot
gname	Add case names to plot
gplotmatrix	Matrix of scatter plots by group
gscatter	Scatter plot by group
lsline	Add least-squares line to scatter plot
refcurve	Add reference curve to plot
refline	Add reference line to plot
scatterhist	Scatter plot with marginal histograms

ANOVA Plots

anova1	One-way analysis of variance
aoctool	Interactive analysis of covariance
manovacluster	Dendrogram of group mean clusters following MANOVA
multcompare	Multiple comparison test

Regression Plots

addedvarplot	Added-variable plot
gline	Interactively add line to plot
lsline	Add least-squares line to scatter plot
polytool	Interactive polynomial fitting
rcoplot	Residual case order plot
refcurve	Add reference curve to plot
refline	Add reference line to plot
robustdemo	Interactive robust regression
rsmdemo	Interactive response surface demonstration
rstool	Interactive response surface modeling
view (classregtree)	Plot tree

Multivariate Plots

andrewsplot	Andrews plot
biplot	Biplot
glyphplot	Glyph plot
parallelcoords	Parallel coordinates plot

Cluster Plots

dendrogram	Dendrogram plot
manovacluster	Dendrogram of group mean clusters following MANOVA
silhouette	Silhouette plot

Classification Plots

perfcurve	Compute Receiver Operating Characteristic (ROC) curve or other performance curve for classifier output
view (classregtree)	Plot tree

DOE Plots

interactionplot	Interaction plot for grouped data
maineffectsplot	Main effects plot for grouped data
multivarichart	Multivari chart for grouped data
rsmdemo	Interactive response surface demonstration
rstool	Interactive response surface modeling

SPC Plots

capaplot	Process capability plot
controlchart	Shewhart control charts
histfit	Histogram with normal fit
normspec	Normal density plot between specifications

Probability Distributions

Distribution Objects
Distribution Plots
Probability Density
Cumulative Distribution
Inverse Cumulative Distribution
Distribution Statistics
Distribution Fitting
Negative Log-Likelihood
Random Number Generators
Quasi-Random Numbers
Piecewise Distributions

Distribution Objects

cdf (ProbDist)	Return cumulative distribution function (CDF) for ProbDist object
fitdist	Fit probability distribution to data
icdf (ProbDistUnivKernel)	Return inverse cumulative distribution function (ICDF) for ProbDistUnivKernel object
icdf (ProbDistUnivParam)	Return inverse cumulative distribution function (ICDF) for ProbDistUnivParam object
iqr (ProbDistUnivKernel)	Return interquartile range (IQR) for ProbDistUnivKernel object
iqr (ProbDistUnivParam)	Return interquartile range (IQR) for ProbDistUnivParam object
mean (ProbDistUnivParam)	Return mean of ProbDistUnivParam object
median (ProbDistUnivKernel)	Return median of ProbDistUnivKernel object
median (ProbDistUnivParam)	Return median of ProbDistUnivParam object
paramci (ProbDistUnivParam)	Return parameter confidence intervals of ProbDistUnivParam object
pdf (ProbDist)	Return probability density function (PDF) for ProbDist object
ProbDistUnivKernel	Construct ProbDistUnivKernel object
ProbDistUnivParam	Construct ProbDistUnivParam object
random (ProbDist)	Generate random number drawn from ProbDist object
std (ProbDistUnivParam)	Return standard deviation of ProbDistUnivParam object
var (ProbDistUnivParam)	Return variance of ProbDistUnivParam object

Distribution Plots

boxplot	Box plot
cdfplot	Empirical cumulative distribution function plot
dfittool	Interactive distribution fitting
disttool	Interactive density and distribution plots
ecdfhist	Empirical cumulative distribution function histogram
fsurfht	Interactive contour plot
hist3	Bivariate histogram
histfit	Histogram with normal fit
normplot	Normal probability plot
normspec	Normal density plot between specifications
pareto	Pareto chart
probplot	Probability plots
qqplot	Quantile-quantile plot
randtool	Interactive random number generation
scatterhist	Scatter plot with marginal histograms
surfht	Interactive contour plot
wblplot	Weibull probability plot

Probability Density

betapdf	Beta probability density function
binopdf	Binomial probability density function
chi2pdf	Chi-square probability density function
copulapdf	Copula probability density function
disttool	Interactive density and distribution plots
evpdf	Extreme value probability density function
exppdf	Exponential probability density function
fpdf	F probability density function
gampdf	Gamma probability density function
geopdf	Geometric probability density function
gevpdf	Generalized extreme value probability density function
gppdf	Generalized Pareto probability density function
hygepdf	Hypergeometric probability density function
ksdensity	Kernel smoothing density estimate
lognpdf	Lognormal probability density function
mnpdf	Multinomial probability density function
mvnpdf	Multivariate normal probability density function
mvtpdf	Multivariate t probability density function
nbinpdf	Negative binomial probability density function
ncfpdf	Noncentral F probability density function
nctpdf	Noncentral t probability density function
ncx2pdf	Noncentral chi-square probability density function
normpdf	Normal probability density function
pdf	Probability density functions
pdf (gmdistribution)	Probability density function for Gaussian mixture distribution
pdf (piecewisedistribution)	Probability density function for piecewise distribution
poisspdf	Poisson probability density function
random (piecewisedistribution)	Random numbers from piecewise distribution
raylpdf	Rayleigh probability density function
tpdf	Student's t probability density function
unidpdf	Discrete uniform probability density function
unifpdf	Continuous uniform probability density function
wblpdf	Weibull probability density function

Cumulative Distribution

betacdf	Beta cumulative distribution function
binocdf	Binomial cumulative distribution function
cdf	Cumulative distribution functions
cdf (gmdistribution)	Cumulative distribution function for Gaussian mixture distribution
cdf (piecewisedistribution)	Cumulative distribution function for piecewise distribution
cdfplot	Empirical cumulative distribution function plot
chi2cdf	Chi-square cumulative distribution function
copulacdf	Copula cumulative distribution function
disttool	Interactive density and distribution plots
ecdf	Empirical cumulative distribution function
ecdfhist	Empirical cumulative distribution function histogram
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
ncfcdf	Noncentral F cumulative distribution function
nctcdf	Noncentral t cumulative distribution function
ncx2cdf	Noncentral chi-square cumulative distribution function
normcdf	Normal cumulative distribution function
poisscdf	Poisson cumulative distribution function
raylcdf	Rayleigh cumulative distribution function
tcdf	Student's t cumulative distribution function
unidcdf	Discrete uniform cumulative distribution function
unifcdf	Continuous uniform cumulative distribution function
wblcdf	Weibull cumulative distribution function

Inverse Cumulative Distribution

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	Inverse cumulative distribution functions
icdf (piecewisedistribution)	Inverse cumulative distribution function for piecewise distribution
logninv	Lognormal inverse cumulative distribution function
nbininv	Negative binomial inverse cumulative distribution function
ncfinv	Noncentral F inverse cumulative distribution function
nctinv	Noncentral t inverse cumulative distribution function
ncx2inv	Noncentral chi-square inverse cumulative distribution function
norminv	Normal inverse cumulative distribution function
poissinv	Poisson inverse cumulative distribution function
raylinv	Rayleigh inverse cumulative distribution function
tinv	Student's t inverse cumulative distribution function
unidinv	Discrete uniform inverse cumulative distribution function
unifinv	Continuous uniform inverse cumulative distribution function
wblinv	Weibull inverse cumulative distribution function

Distribution Statistics

betastat	Beta mean and variance
binostat	Binomial mean and variance
chi2stat	Chi-square mean and variance
copulastat	Copula rank correlation
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 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 mean and variance
poisstat	Poisson mean and variance
raylstat	Rayleigh mean and variance
tstat	Student's t mean and variance
unidstat	Discrete uniform mean of and variance
unifstat	Continuous uniform mean and variance
wblstat	Weibull mean and variance

Distribution Fitting

Supported Distributions
Piecewise Distributions

Supported Distributions

betafit	Beta parameter estimates
binofit	Binomial parameter estimates
copulafit	Fit copula to data
copulaparam	Copula parameters as function of rank correlation
dfittool	Interactive distribution fitting
evfit	Extreme value parameter estimates
expfit	Exponential parameter estimates
fit (gmdistribution)	Gaussian mixture parameter estimates
gamfit	Gamma parameter estimates
gevfit	Generalized extreme value parameter estimates
gpfit	Generalized Pareto parameter estimates
histfit	Histogram with normal fit
johnsrnd	Johnson system random numbers
lognfit	Lognormal parameter estimates
mle	Maximum likelihood estimates
mlecov	Asymptotic covariance of maximum likelihood estimators
nbinfit	Negative binomial parameter estimates
normfit	Normal parameter estimates
normplot	Normal probability plot
pearsrnd	Pearson system random numbers
poissfit	Poisson parameter estimates
raylfit	Rayleigh parameter estimates
unifit	Continuous uniform parameter estimates
wblfit	Weibull parameter estimates
wblplot	Weibull probability plot

Piecewise Distributions

boundary (piecewisedistribution)	Piecewise distribution boundaries
lowerparams (paretotails)	Lower Pareto tails parameters
nsegments (piecewisedistribution)	Number of segments
paretotails	Construct Pareto tails object
piecewisedistribution	Create piecewise distribution object
segment (piecewisedistribution)	Segments containing values
upperparams (paretotails)	Upper Pareto tails parameters

Negative Log-Likelihood

betalike	Beta negative log-likelihood
evlike	Extreme value negative log-likelihood
explike	Exponential negative log-likelihood
gamlike	Gamma negative log-likelihood
gevlike	Generalized extreme value negative log-likelihood
gplike	Generalized Pareto negative log-likelihood
lognlike	Lognormal negative log-likelihood
mvregresslike	Negative log-likelihood for multivariate regression
normlike	Normal negative log-likelihood
wbllike	Weibull negative log-likelihood

Random Number Generators

betarnd	Beta random numbers
binornd	Binomial random numbers
chi2rnd	Chi-square random numbers
copularnd	Copula 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 random numbers
hygernd	Hypergeometric random numbers
iwishrnd	Inverse Wishart random numbers
johnsrnd	Johnson system random numbers
lhsdesign	Latin hypercube sample
lhsnorm	Latin hypercube sample from normal distribution
lognrnd	Lognormal random numbers
mhsample	Metropolis-Hastings sample
mnrnd	Multinomial 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 random numbers
pearsrnd	Pearson system random numbers
poissrnd	Poisson random numbers
randg	Gamma random numbers
random	Random numbers
random (gmdistribution)	Random numbers from Gaussian mixture distribution
random (piecewisedistribution)	Random numbers from piecewise distribution
randsample	Random sample
randtool	Interactive random number generation
raylrnd	Rayleigh random numbers
slicesample	Slice sampler
trnd	Student's t random numbers
unidrnd	Discrete uniform random numbers
unifrnd	Continuous uniform random numbers
wblrnd	Weibull random numbers
wishrnd	Wishart random numbers

Quasi-Random Numbers

addlistener (qrandstream)	Add listener for event
delete (qrandstream)	Delete handle object
end (qrandset)	Last index in indexing expression for point set
eq (qrandstream)	Test handle equality
findobj (qrandstream)	Find objects matching specified conditions
findprop (qrandstream)	Find property of MATLAB handle object
ge (qrandstream)	Greater than or equal relation for handles
gt (qrandstream)	Greater than relation for handles
haltonset	Construct Halton quasi-random point set
isvalid (qrandstream)	Test handle validity
le (qrandstream)	Less than or equal relation for handles
length (qrandset)	Length of point set
lt (qrandstream)	Less than relation for handles
ndims (qrandset)	Number of dimensions in matrix
ne (qrandstream)	Not equal relation for handles
net (qrandset)	Generate quasi-random point set
notify (qrandstream)	Notify listeners of event
qrand (qrandstream)	Generate quasi-random points from stream
qrandset	Abstract quasi-random point set class
qrandstream	Construct quasi-random number stream
rand (qrandstream)	Generate quasi-random points from stream
reset (qrandstream)	Reset state
scramble (qrandset)	Scramble quasi-random point set
size (qrandset)	Number of dimensions in matrix
sobolset	Construct Sobol quasi-random point set

Piecewise Distributions

boundary (piecewisedistribution)	Piecewise distribution boundaries
cdf (piecewisedistribution)	Cumulative distribution function for piecewise distribution
icdf (piecewisedistribution)	Inverse cumulative distribution function for piecewise distribution
lowerparams (paretotails)	Lower Pareto tails parameters
nsegments (piecewisedistribution)	Number of segments
paretotails	Construct Pareto tails object
pdf (piecewisedistribution)	Probability density function for piecewise distribution
piecewisedistribution	Create piecewise distribution object
random (piecewisedistribution)	Random numbers from piecewise distribution
segment (piecewisedistribution)	Segments containing values
upperparams (paretotails)	Upper Pareto tails parameters

Hypothesis Tests

ansaribradley	Ansari-Bradley test
barttest	Bartlett's test
canoncorr	Canonical correlation
chi2gof	Chi-square goodness-of-fit test
dwtest	Durbin-Watson test
friedman	Friedman's test
jbtest	Jarque-Bera test
kruskalwallis	Kruskal-Wallis test
kstest	One-sample Kolmogorov-Smirnov test
kstest2	Two-sample Kolmogorov-Smirnov test
lillietest	Lilliefors test
linhyptest	Linear hypothesis test
ranksum	Wilcoxon rank sum test
runstest	Run test for randomness
sampsizepwr	Sample size and power of test
signrank	Wilcoxon signed rank test
signtest	Sign test
ttest	One-sample and paired-sample t-test
ttest2	Two-sample t-test
vartest	Chi-square variance test
vartest2	Two-sample F-test for equal variances
vartestn	Bartlett multiple-sample test for equal variances
zscore	Standardized z-scores
ztest	z-test

Analysis of Variance

ANOVA Plots
ANOVA Operations

ANOVA Plots

anova1	One-way analysis of variance
aoctool	Interactive analysis of covariance
manovacluster	Dendrogram of group mean clusters following MANOVA
multcompare	Multiple comparison test

ANOVA Operations

anova1	One-way analysis of variance
anova2	Two-way analysis of variance
anovan	N-way analysis of variance
aoctool	Interactive analysis of covariance
dummyvar	Create dummy variables
friedman	Friedman's test
kruskalwallis	Kruskal-Wallis test
manova1	One-way multivariate analysis of variance
manovacluster	Dendrogram of group mean clusters following MANOVA
multcompare	Multiple comparison test

Regression Analysis

Regression Plots
Linear Regression
Nonlinear Regression
Regression Trees
Ensemble Methods

Regression Plots

addedvarplot	Added-variable plot
gline	Interactively add line to plot
lsline	Add least-squares line to scatter plot
polytool	Interactive polynomial fitting
rcoplot	Residual case order plot
refcurve	Add reference curve to plot
refline	Add reference line to plot
robustdemo	Interactive robust regression
rsmdemo	Interactive response surface demonstration
rstool	Interactive response surface modeling
view (classregtree)	Plot tree

Linear Regression

coxphfit	Cox proportional hazards regression
dummyvar	Create dummy variables
glmfit	Generalized linear model regression
glmval	Generalized linear model values
invpred	Inverse prediction
leverage	Leverage
mnrfit	Multinomial logistic regression
mnrval	Multinomial logistic regression values
mvregress	Multivariate linear regression
mvregresslike	Negative log-likelihood for multivariate regression
plsregress	Partial least-squares regression
polyconf	Polynomial confidence intervals
polytool	Interactive polynomial fitting
regress	Multiple linear regression
regstats	Regression diagnostics
ridge	Ridge regression
robustdemo	Interactive robust regression
robustfit	Robust regression
rsmdemo	Interactive response surface demonstration
rstool	Interactive response surface modeling
stepwise	Interactive stepwise regression
stepwisefit	Stepwise regression
x2fx	Convert predictor matrix to design matrix

Nonlinear Regression

dummyvar	Create dummy variables
hougen	Hougen-Watson model
nlinfit	Nonlinear regression
nlintool	Interactive nonlinear regression
nlmefit	Nonlinear mixed-effects estimation
nlparci	Nonlinear regression parameter confidence intervals
nlpredci	Nonlinear regression prediction confidence intervals

Regression Trees

catsplit (classregtree)	Categorical splits used for branches in decision tree
children (classregtree)	Child nodes
classcount (classregtree)	Class counts
classprob (classregtree)	Class probabilities
classregtree	Construct classification and regression trees
cutcategories (classregtree)	Cut categories
cutpoint (classregtree)	Returns decision tree cut point values
cuttype (classregtree)	Cut types
cutvar (classregtree)	Cut variable names
eval (classregtree)	Predicted responses
isbranch (classregtree)	Test node for branch
nodeerr (classregtree)	Return vector of node errors
nodeprob (classregtree)	Node probabilities
nodesize (classregtree)	Return node size
numnodes (classregtree)	Number of nodes
parent (classregtree)	Parent node
prune (classregtree)	Prune tree
risk (classregtree)	Node risks
test (classregtree)	Error rate
type (classregtree)	Tree type
varimportance (classregtree)	Compute embedded estimates of input feature importance
view (classregtree)	Plot tree

Ensemble Methods

append (TreeBagger)	Append new trees to ensemble
combine (CompactTreeBagger)	Combine two ensembles
compact (TreeBagger)	Compact ensemble of decision trees
CompactTreeBagger	Create CompactTreeBagger object
error (CompactTreeBagger)	Error (misclassification probability or MSE)
error (TreeBagger)	Error (misclassification probability or MSE)
fillProximities (TreeBagger)	Proximity matrix for training data
growTrees (TreeBagger)	Train additional trees and add to ensemble
margin (CompactTreeBagger)	Classification margin
margin (TreeBagger)	Classification margin
mdsProx (CompactTreeBagger)	Multidimensional scaling of proximity matrix
mdsProx (TreeBagger)	Multidimensional scaling of proximity matrix
meanMargin (CompactTreeBagger)	Mean classification margin
meanMargin (TreeBagger)	Mean classification margin
oobError (TreeBagger)	Out-of-bag error
oobMargin (TreeBagger)	Out-of-bag margins
oobMeanMargin (TreeBagger)	Out-of-bag mean margins
oobPredict (TreeBagger)	Ensemble predictions for out-of-bag observations
outlierMeasure (CompactTreeBagger)	Outlier measure for data
predict (CompactTreeBagger)	Predict response
predict (TreeBagger)	Predict response
proximity (CompactTreeBagger)	Proximity matrix for data
SetDefaultYfit (CompactTreeBagger)	Set default value for `predict`
TreeBagger	Create ensemble of bagged decision trees

Multivariate Methods

Multivariate Plots
Multidimensional Scaling
Procrustes Analysis
Feature Selection
Feature Transformation

Multivariate Plots

andrewsplot	Andrews plot
biplot	Biplot
glyphplot	Glyph plot
parallelcoords	Parallel coordinates plot

Multidimensional Scaling

cmdscale	Classical multidimensional scaling
mahal	Mahalanobis distance
mdscale	Nonclassical multidimensional scaling
pdist	Pairwise distance between pairs of objects
squareform	Format distance matrix

Procrustes Analysis

procrustes

Procrustes analysis

Feature Selection

sequentialfs

Sequential feature selection

Feature Transformation

Nonnegative Matrix Factorization
Principal Component Analysis
Factor Analysis

Nonnegative Matrix Factorization

nnmf	Nonnegative matrix factorization

Principal Component Analysis

barttest	Bartlett's test
pareto	Pareto chart
pcacov	Principal component analysis on covariance matrix
pcares	Residuals from principal component analysis
princomp	Principal component analysis on data

Factor Analysis

factoran

Factor analysis

Cluster Analysis

Cluster Plots
Hierarchical Clustering
K-Means Clustering
Gaussian Mixture Models

Cluster Plots

dendrogram	Dendrogram plot
manovacluster	Dendrogram of group mean clusters following MANOVA
silhouette	Silhouette plot

Hierarchical Clustering

cluster	Construct agglomerative clusters from linkages
clusterdata	Construct agglomerative clusters from data
cophenet	Cophenetic correlation coefficient
inconsistent	Inconsistency coefficient
linkage	Create agglomerative hierarchical cluster tree
pdist	Pairwise distance between pairs of objects
squareform	Format distance matrix

K-Means Clustering

kmeans	K-means clustering
mahal	Mahalanobis distance

Gaussian Mixture Models

cdf (gmdistribution)	Cumulative distribution function for Gaussian mixture distribution
cluster (gmdistribution)	Construct clusters from Gaussian mixture distribution
gmdistribution	Construct Gaussian mixture distribution
mahal (gmdistribution)	Mahalanobis distance to component means
pdf (gmdistribution)	Probability density function for Gaussian mixture distribution
posterior (gmdistribution)	Posterior probabilities of components
random (gmdistribution)	Random numbers from Gaussian mixture distribution

Model Assessment

confusionmat	Confusion matrix
crossval	Loss estimate using cross-validation
cvpartition	Create cross-validation partition for data
repartition (cvpartition)	Repartition data for cross-validation
test (cvpartition)	Test indices for cross-validation
training (cvpartition)	Training indices for cross-validation

Classification

Classification Plots
Discriminant Analysis
Classification Trees
Naive Bayes Classification
Ensemble Methods

Classification Plots

perfcurve	Compute Receiver Operating Characteristic (ROC) curve or other performance curve for classifier output
view (classregtree)	Plot tree

Discriminant Analysis

classify	Discriminant analysis
mahal	Mahalanobis distance

Classification Trees

catsplit (classregtree)	Categorical splits used for branches in decision tree
children (classregtree)	Child nodes
classcount (classregtree)	Class counts
classprob (classregtree)	Class probabilities
classregtree	Construct classification and regression trees
cutcategories (classregtree)	Cut categories
cutpoint (classregtree)	Returns decision tree cut point values
cuttype (classregtree)	Cut types
cutvar (classregtree)	Cut variable names
eval (classregtree)	Predicted responses
isbranch (classregtree)	Test node for branch
nodeerr (classregtree)	Return vector of node errors
nodeprob (classregtree)	Node probabilities
nodesize (classregtree)	Return node size
numnodes (classregtree)	Number of nodes
parent (classregtree)	Parent node
prune (classregtree)	Prune tree
risk (classregtree)	Node risks
test (classregtree)	Error rate
type (classregtree)	Tree type
varimportance (classregtree)	Compute embedded estimates of input feature importance
view (classregtree)	Plot tree

Naive Bayes Classification

fit (NaiveBayes)	Create Naive Bayes classifier object by fitting training data
NaiveBayes	Create NaiveBayes object
posterior (NaiveBayes)	Compute posterior probability of each class for test data
predict (NaiveBayes)	Predict class label for test data

Ensemble Methods

append (TreeBagger)	Append new trees to ensemble
combine (CompactTreeBagger)	Combine two ensembles
compact (TreeBagger)	Compact ensemble of decision trees
CompactTreeBagger	Create CompactTreeBagger object
error (CompactTreeBagger)	Error (misclassification probability or MSE)
error (TreeBagger)	Error (misclassification probability or MSE)
fillProximities (TreeBagger)	Proximity matrix for training data
growTrees (TreeBagger)	Train additional trees and add to ensemble
margin (CompactTreeBagger)	Classification margin
margin (TreeBagger)	Classification margin
mdsProx (CompactTreeBagger)	Multidimensional scaling of proximity matrix
mdsProx (TreeBagger)	Multidimensional scaling of proximity matrix
meanMargin (CompactTreeBagger)	Mean classification margin
meanMargin (TreeBagger)	Mean classification margin
oobError (TreeBagger)	Out-of-bag error
oobMargin (TreeBagger)	Out-of-bag margins
oobMeanMargin (TreeBagger)	Out-of-bag mean margins
oobPredict (TreeBagger)	Ensemble predictions for out-of-bag observations
outlierMeasure (CompactTreeBagger)	Outlier measure for data
predict (CompactTreeBagger)	Predict response
predict (TreeBagger)	Predict response
proximity (CompactTreeBagger)	Proximity matrix for data
SetDefaultYfit (CompactTreeBagger)	Set default value for `predict`
TreeBagger	Create ensemble of bagged decision trees

Hidden Markov Models

hmmdecode	Hidden Markov model posterior state probabilities
hmmestimate	Hidden Markov model parameter estimates from emissions and states
hmmgenerate	Hidden Markov model states and emissions
hmmtrain	Hidden Markov model parameter estimates from emissions
hmmviterbi	Hidden Markov model most probable state path

Design of Experiments

DOE Plots
Full Factorial Designs
Fractional Factorial Designs
Response Surface Designs
D-Optimal Designs
Latin Hypercube Designs
Quasi-Random Designs

DOE Plots

interactionplot	Interaction plot for grouped data
maineffectsplot	Main effects plot for grouped data
multivarichart	Multivari chart for grouped data
rsmdemo	Interactive response surface demonstration
rstool	Interactive response surface modeling

Full Factorial Designs

ff2n	Two-level full factorial design
fullfact	Full factorial design

Fractional Factorial Designs

fracfact	Fractional factorial design
fracfactgen	Fractional factorial design generators

Response Surface Designs

bbdesign	Box-Behnken design
ccdesign	Central composite design

D-Optimal Designs

candexch	Candidate set row exchange
candgen	Candidate set generation
cordexch	Coordinate exchange
daugment	D-optimal augmentation
dcovary	D-optimal design with fixed covariates
rowexch	Row exchange
rsmdemo	Interactive response surface demonstration

Latin Hypercube Designs

lhsdesign	Latin hypercube sample
lhsnorm	Latin hypercube sample from normal distribution

Quasi-Random Designs

addlistener (qrandstream)	Add listener for event
delete (qrandstream)	Delete handle object
end (qrandset)	Last index in indexing expression for point set
eq (qrandstream)	Test handle equality
findobj (qrandstream)	Find objects matching specified conditions
findprop (qrandstream)	Find property of MATLAB handle object
ge (qrandstream)	Greater than or equal relation for handles
gt (qrandstream)	Greater than relation for handles
haltonset	Construct Halton quasi-random point set
isvalid (qrandstream)	Test handle validity
le (qrandstream)	Less than or equal relation for handles
length (qrandset)	Length of point set
lt (qrandstream)	Less than relation for handles
ndims (qrandset)	Number of dimensions in matrix
ne (qrandstream)	Not equal relation for handles
net (qrandset)	Generate quasi-random point set
notify (qrandstream)	Notify listeners of event
qrand (qrandstream)	Generate quasi-random points from stream
qrandset	Abstract quasi-random point set class
qrandstream	Construct quasi-random number stream
rand (qrandstream)	Generate quasi-random points from stream
reset (qrandstream)	Reset state
scramble (qrandset)	Scramble quasi-random point set
size (qrandset)	Number of dimensions in matrix
sobolset	Construct Sobol quasi-random point set

Statistical Process Control

SPC Plots
SPC Functions

SPC Plots

capaplot	Process capability plot
controlchart	Shewhart control charts
histfit	Histogram with normal fit
normspec	Normal density plot between specifications

SPC Functions

capability	Process capability indices
controlrules	Western Electric and Nelson control rules
gagerr	Gage repeatability and reproducibility study

GUIs

aoctool	Interactive analysis of covariance
dfittool	Interactive distribution fitting
disttool	Interactive density and distribution plots
fsurfht	Interactive contour plot
polytool	Interactive polynomial fitting
randtool	Interactive random number generation
regstats	Regression diagnostics
robustdemo	Interactive robust regression
rsmdemo	Interactive response surface demonstration
rstool	Interactive response surface modeling
surfht	Interactive contour plot

Utilities

combnk	Enumeration of combinations
perms	Enumeration of permutations
statget	Access values in statistics options structure
statset	Create statistics options structure
zscore	Standardized z-scores

Capability Studies

Class Reference

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