Mathematics    

Data Analysis and Statistics


This chapter introduces MATLAB's data analysis capabilities. It discusses how to organize arrays for data analysis, how to use simple descriptive statistics functions, and how to perform data preprocessing tasks in MATLAB. It also discusses other data analysis topics, including regression, curve fitting, data filtering, and fast Fourier transforms (FFTs). It includes:

Column-Oriented Data Sets

Organizing arrays for data analysis.

Basic Data Analysis Functions

Basic data analysis functions and an example that uses some of the functions. This section also discusses functions for the computation of correlation coefficients and covariance, and for finite difference calculations.

Data Preprocessing

Working with missing values, and outliers or misplaced data points in a data set.

Regression and Curve Fitting

Investigates the use of different regression methods to find functions that describe the relationship among observed variables.

Case Study: Curve Fitting

Uses a case study to look at some of MATLAB's basic data analysis capabilities. This section also provides information about the Basic Fitting interface.

Difference Equations and Filtering

Discusses MATLAB functions for working with difference equations and filters.

Fourier Analysis and the Fast Fourier Transform (FFT)

Discusses Fourier analysis in MATLAB

Data Analysis and Statistics Functions

The data analysis and statistics functions are in the directory datafun in the MATLAB Toolbox. Use online help to get a complete list of functions.

Related Toolboxes

A number of related toolboxes provide advanced functionality for specialized data analysis applications.

Toolbox
Data Analysis Application
Optimization
Nonlinear curve fitting and regression.
Signal Processing
Signal processing, filtering, and frequency
analysis.
Spline
Curve fitting and regression.
Statistics
Advanced statistical analysis, nonlinear curve
fitting, and regression.
System Identification
Parametric / ARMA modeling.
Wavelet
Wavelet analysis.


 Selected Bibliography Column-Oriented Data Sets