Statistics Toolbox

Preface

Overview

What Is the Statistics Toolbox?

How to Use This Guide

Related Products List

Mathematical Notation

Typographical Conventions

Using the Statistics Toolbox

Introduction

Primary Topic Areas

Probability Distributions

Overview of the Functions

Overview of the Distributions

Descriptive Statistics

Measures of Central Tendency (Location)

Measures of Dispersion

Functions for Data with Missing Values (NaNs)

Function for Grouped Data

Percentiles and Graphical Descriptions

The Bootstrap

Cluster Analysis

Terminology and Basic Procedure

Finding the Similarities Between Objects

Defining the Links Between Objects

Evaluating Cluster Formation

Creating Clusters

Linear Models

One-Way Analysis of Variance (ANOVA)

Two-Way Analysis of Variance (ANOVA)

N-Way Analysis of Variance

Multiple Linear Regression

Quadratic Response Surface Models

Stepwise Regression

Generalized Linear Models

Robust and Nonparametric Methods

Nonlinear Regression Models

Example: Nonlinear Modeling

Hypothesis Tests

Hypothesis Test Terminology

Hypothesis Test Assumptions

Example: Hypothesis Testing

Available Hypothesis Tests

Multivariate Statistics

Principal Components Analysis

Multivariate Analysis of Variance (MANOVA)

Statistical Plots

Box Plots

Distribution Plots

Scatter Plots

Statistical Process Control (SPC)

Control Charts

Capability Studies

Design of Experiments (DOE)

Full Factorial Designs

Fractional Factorial Designs

D-Optimal Designs

Demos

The disttool Demo

The polytool Demo

The aoctool Demo

The randtool Demo

The rsmdemo Demo

The glmdemo Demo

The robustdemo Demo

Selected Bibliography

Reference

Function Category List

Alphabetical List of Functions

anova1

anova2

anovan

aoctool

barttest

betacdf

betafit

betainv

betalike

betapdf

betarnd

betastat

binocdf

binofit

binoinv

binopdf

binornd

binostat

bootstrp

boxplot

capable

capaplot

caseread

casewrite

cdf

cdfplot

chi2cdf

chi2inv

chi2pdf

chi2rnd

chi2stat

classify

cluster

clusterdata

combnk

cophenet

cordexch

corrcoef

cov

crosstab

daugment

dcovary

dendrogram

disttool

dummyvar

errorbar

ewmaplot

expcdf

expfit

expinv

exppdf

exprnd

expstat

fcdf

ff2n

finv

fpdf

fracfact

friedman

frnd

fstat

fsurfht

fullfact

gamcdf

gamfit

gaminv

gamlike

gampdf

gamrnd

gamstat

geocdf

geoinv

geomean

geopdf

geornd

geostat

gline

glmdemo

glmfit

glmval

gname

gplotmatrix

grpstats

gscatter

harmmean

hist

histfit

hougen

hygecdf

hygeinv

hygepdf

hygernd

hygestat

icdf

inconsistent

iqr

jbtest

kruskalwallis

kstest

kstest2

kurtosis

leverage

lillietest

linkage

logncdf

logninv

lognpdf

lognrnd

lognstat

lsline

mad

mahal

manova1

manovacluster

mean

median

mle

moment

multcompare

mvnrnd

mvtrnd

nanmax

nanmean

nanmedian

nanmin

nanstd

nansum

nbincdf

nbininv

nbinpdf

nbinrnd

nbinstat

ncfcdf

ncfinv

ncfpdf

ncfrnd

ncfstat

nctcdf

nctinv

nctpdf

nctrnd

nctstat

ncx2cdf

ncx2inv

ncx2pdf

ncx2rnd

ncx2stat

nlinfit

nlintool

nlparci

nlpredci

normcdf

normfit

norminv

normpdf

normplot

normrnd

normspec

normstat

pareto

pcacov

pcares

pdf

pdist

perms

poisscdf

poissfit

poissinv

poisspdf

poissrnd

poisstat

polyconf

polyfit

polytool

polyval

prctile

princomp

qqplot

random

randtool

range

ranksum

raylcdf

raylinv

raylpdf

raylrnd

raylstat

rcoplot

refcurve

refline

regress

regstats

ridge

robustdemo

robustfit

rowexch

rsmdemo

rstool

schart

signrank

signtest

skewness

squareform

std

stepwise

surfht

tabulate

tblread

tblwrite

tcdf

tdfread

tinv

tpdf

trimmean

trnd

tstat

ttest

ttest2

unidcdf

unidinv

unidpdf

unidrnd

unidstat

unifcdf

unifinv

unifit

unifpdf

unifrnd

unifstat

var

weibcdf

weibfit

weibinv

weiblike

weibpdf

weibplot

weibrnd

weibstat

x2fx

xbarplot

zscore

ztest


 Preface