Statistics Toolbox    

Index

A 

absolute deviation
additive effects
alternative hypothesis
analysis of variance
multivariate
N-way
one-way
two-way
ANOVA
anova1
anova2
anovan
aoctool
aoctool demo
average linkage

B 

bacteria counts
barttest
baseball odds <1> <2>
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
bootstrap
bootstrap sampling
box plots
Box-Behnken designs
generating
boxplot

C 

candexch
candgen
canoncorr
capability studies
capable
capaplot
casenames
reading from file
writing to file
caseread
casewrite
ccdesign
cdf
definition
functions
cdf
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 <1> <2>
cov
Cp index <1> <2>
Cpk index <1> <2>
crosstab
cumulative distribution function (cdf)
empirical
functions
graphing an estimate

D 

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
polynomial curve fitting
probability distributions
random number generation
dendrogram <1> <2>
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 testing
functions
distributions
supported
disttool
disttool demo
DOE. See design of experiments
D-optimal designs
creating from candidate set
generating candidate set
dummyvar

E 

ecdf
empirical cumulative distribution function
ecdf function
erf
error function
errorbar
estimate
Euclidean distance
in cluster analysis
EWMA charts
ewmaplot
expcdf
expfit
expinv
exponential distribution
exppdf
exprnd
expstat
extrapolated

F 

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

G 

gamcdf
gamfit
gaminv
gamlike
gamma distribution
gampdf
gamrnd
gamstat
Gaussian
geocdf
geoinv
geomean
geometric distribution
geopdf
geornd
geostat
gline
glmdemo
glmdemo demo
glmfit
glmval
gname
gplotmatrix
group mean clusters, plot
grouped plot matrix
grpstats
gscatter
Guinness beer <1> <2>

H 

harmmean
hat matrix
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
formatting distance information
grouping objects
inconsistency coefficient
plotting cluster trees
hierarchiical clustering
cophenetic correlation coefficient
hist
histfit
histogram
Hotelling's T squared
hougen
Hougen-Watson model
hygecdf
hygeinv
hygepdf
hygernd
hygestat
hypergeometric distribution
hypotheses
hypothesis tests
functions

I 

icdf
incomplete beta function
incomplete gamma function
inconsistency coefficient
inconsistent
inspector
interaction
interpolated
interquartile range (iqr)
inverse cdf
inverse cumulative distribution
functions
iqr
iwishrnd

J 

Jarque-Bera test
jbtest

K 

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

L 

latin hypercube sample
normal distribution
least squares
leverage
lhsdesign
lhsnorm
light bulbs, life of
likelihood function
Lilliefors test
lillietest
linear models
functions
generalized
linear transformation
Procrustes
linkage
logncdf
logninv
lognormal distribution
lognpdf
lognrnd
lognstat
lottery
lsline
LU factorizations

M 

mad
mahal
Mahalanobis distance
in cluster analysis
MANOVA
manova1
manovacluster
maximum likelihood
factor analysis
MDS
See also multidimensional scaling
mean
of probability distribution
mean
Mean Squares (MS)
measures of
central tendency
dispersion
median
metric multidimensional scaling
See also classical multidimensional scaling
Minkowski metric
in cluster analysis
mle
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

N 

nanmax
nanmean
nanmedian
nanmin
NaNs
nanstd
nansum
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 <1> <2>
normalizing a dataset
using zscore
normcdf
normdemo
normfit
norminv
normlike
normpdf
normplot
normrnd
normstat
notation, mathematical conventions
notches
null
null hypothesis

O 

one-way analysis of variance (ANOVA)
outliers

P 

parameter estimation
functions
pareto
Pascal, Blaise
PCA. See Principal Components Analysis
pcacov
pcares
pdf
definition
functions
pdf
pdist
percentiles
perms
plots
plotting
statistical functions
poisscdf
poissfit
poissinv
Poisson distribution
poisspdf
poissrnd
poisstat
polyconf
polyfit
polynomial
polytool
polytool demo
polyval
popcorn <1> <2>
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
functions
process control
statistical
procrustes
Procrustes Analysis
p-value <1> <2>

Q 

qqplot
QR decomposition
quality assurance
quantile-quantile plots <1> <2>

R 

random
random number generation
direct
functions
inverted
rejection
random numbers
random samples
inverse Wishart
latin hypercube
latin hypercube with normal distribution
Wishart
randtool
randtool demo
range
ranksum
raylcdf
raylinv
raylpdf
raylrnd
raylstat
rcoplot
reconstruction
map from inter-city distances
refcurve
reference lines
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
robustdemo demo
robustfit
rowexch
rsmdemo
rsmdemo demo
R-square
rstool
rstool demo

S 

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
statistical plots
Statistical Process Control
capability studies
control charts
functions
statistical references
statistically significant <1> <2> <3>
stepwise <1> <2>
stepwise regression
Sum of Squares (SS)
surfht
symmetric

T 

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
typographical conventions (table)

U 

unbiased <1> <2>
unidcdf
unidinv
unidpdf
unidrnd
unidstat
unifcdf
unifinv
unifit
uniform distribution
unifpdf
unifrnd
unifstat

V 

var
variance
of probability distribution

W 

ward linkage
weibcdf
weibfit
weibinv
weiblike
weibpdf
weibplot
weibrnd
weibstat
Weibull distribution
Weibull probability plots
Weibull, Waloddi
whiskers <1> <2>
Wishart random matrix
inverse
wishrnd

X 

x2fx
Xbar charts
xbarplot

Z 

zscore
ztest

 Selected Bibliography