Preface
How to Use This Guide
Related Products List
Typographical Conventions
Introduction
What Is the Statistics Toolbox?
Primary Topic Areas
Random Numbers in Examples
Mathematical Notation
Examples
Probability Distributions
Introduction
Overview of the Functions
Probability Density Function (pdf)
Cumulative Distribution Function (cdf)
Inverse Cumulative Distribution Function
Random Number Generator
Mean and Variance as a Function of Parameters
Overview of the Distributions
Beta Distribution
Binomial Distribution
Chi-Square Distribution
Noncentral Chi-Square Distribution
Discrete Uniform Distribution
Exponential Distribution
F Distribution
Noncentral F Distribution
Gamma Distribution
Geometric Distribution
Hypergeometric Distribution
Lognormal Distribution
Negative Binomial Distribution
Normal Distribution
Poisson Distribution
Rayleigh Distribution
Student's t Distribution
Noncentral t Distribution
Weibull Distribution
Descriptive Statistics
Introduction
Measures of Central Tendency (Location)
Measures of Dispersion
Functions for Data with Missing Values (NaNs)
Function for Grouped Data
Percentiles and Graphical Descriptions
Percentiles
Probability Density Estimation
Empirical Cumulative Distribution Function
The Bootstrap
Linear Models
Introduction
One-Way Analysis of Variance (ANOVA)
Example: One-Way ANOVA
Multiple Comparisons
Example: Multiple Comparisons
Two-Way Analysis of Variance (ANOVA)
Example: Two-Way ANOVA
N-Way Analysis of Variance
Example: N-Way ANOVA with Small Data Set
Example: N-Way ANOVA with Large Data Set
Multiple Linear Regression
Mathematical Foundations of Multiple Linear Regression
Example: Multiple Linear Regression
Quadratic Response Surface Models
Exploring Graphs of Multidimensional Polynomials
Stepwise Regression
Example: Stepwise Regression
Stepwise Regression Plot
Stepwise Regression Diagnostics Table
Generalized Linear Models
Example: Generalized Linear Models
Robust and Nonparametric Methods
Robust Regression
Kruskal-Wallis Test
Friedman's Test
Nonlinear Regression Models
Introduction
Nonlinear Least Squares
Example: Nonlinear Modeling
An Interactive GUI for Nonlinear Fitting and Prediction
Regression and Classification Trees
Hypothesis Tests
Introduction
Hypothesis Test Terminology
Hypothesis Test Assumptions
Example: Hypothesis Testing
Available Hypothesis Tests
Multivariate Statistics
Introduction
Principal Components Analysis
Example: Principal Components Analysis
The Principal Components (First Output)
The Component Scores (Second Output)
The Component Variances (Third Output)
Hotelling's T2 (Fourth Output)
Factor Analysis
Example: Finding Common Factors Affecting Stock Prices
Factor Rotation
Predicting Factor Scores
Comparison of Factor Analysis and Principal Components Analysis
Multivariate Analysis of Variance (MANOVA)
Example: Multivariate Analysis of Variance
Cluster Analysis
Hierarchical Clustering
K-Means Clustering
Classical Multidimensional Scaling
Overview
Reconstructing a Map from Inter-City Distances
Statistical Plots
Introduction
Box Plots
Distribution Plots
Normal Probability Plots
Quantile-Quantile Plots
Weibull Probability Plots
Empirical Cumulative Distribution Function (CDF)
Scatter Plots
Statistical Process Control
Introduction
Control Charts
Xbar Charts
S Charts
EWMA Charts
Capability Studies
Design of Experiments
Introduction
Full Factorial Designs
Fractional Factorial Designs
Response Surface Designs
Central Composite Designs
Box-Behnken Designs
D-Optimal Designs
Generating D-Optimal Designs
Augmenting D-Optimal Designs
Designing Experiments with Uncontrolled Inputs
Controlling Candidate Points
Including Categorical Factors
Demos
Introduction
The disttool Demo
The polytool Demo
Confidence Bounds
Overfitting
The aoctool Demo
Example: aoctool with Sample Data
The randtool Demo
The rsmdemo Demo
Part 1
Part 2
The glmdemo Demo
The robustdemo Demo
Functions -- By Category
Probability Distributions
Descriptive Statistics
Statistical Plotting
Statistical Process Control
Linear Models
Nonlinear Regression
Design of Experiments
Multivariate Statistics
Decision Tree Techniques
Hypothesis Tests
Distribution Testing
Nonparametric Testing
File I/O
Demonstrations
Data
Functions -- Alphabetical List
Selected Bibliography
Printable Documentation (PDF)
Product Page (Web)