Using MATLAB for Statistical Analysis

MATLAB is a mathematical programme developed by the company called The MathWorks Inc. Examples in this chapter have been tested on MATLAB versions between 201 la and 2015b. It is expected that most of the commands presented will work with some earlier versions, as well as most later versions. It will be assumed that the reader has a basic understanding of MATLAB, can write MATLAB statements, understands basic MATLAB commands, and can plot a simple MATLAB graph. This chapter will examine in detail additional features, such as the different toolboxes and formatting features. In order to clearly distinguish between the code required for the MATLAB function and text, all MATLAB commands and variables are shown in bold Courier New. 

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As appropriate, material from Chap. 7 Using MATLAB for Statistical Analysis and Chap. 8 Using Excel to do Statistical Analysis could be introduced to show and explain how the students can implement the proposed methods. It should be emphasised that this material should not overwhelm the students nor should it become the main emphasis and hence avoid thoughtful and insightful analysis of the resulting data. 

Analysis of variance (ANOVA) analyses were performed using the general statistical package StatView 5.01 (SAS Institute, Cary, NC, USA). The ANOVAs were calculated as repeated-measures ANOVAs with wells as within factor for phase 1 and with plates as within factor for subsequent phases. Specialized statistics, such as comparison of fits of different calibration curves, were calculated in MATLAB 5.1 (MathWorks, Natick, MA, USA) using custom routines. 

Numerical Analysis Corporations. Many of the early mechanical calculator companies, such as NGR, Monroe, and Friden, employed mathematicians to develop formulas to improve the speed of their business calculations. Gomputer companies— including IBM, GDG, and DEC—realized the importance of having good numerical analysis libraries to support scientific computing. In addition, a number of spinoff companies appeared that produced numerical analysis software, such as IMSL (an old, but still widely used library), SAS (a library that has many statistical uses), and MATLAB (a numerical analysis package designed for microcomputers). 

The use of mathematical and statistical modeling methods to relate chemical data sets to the state of the chemical system is referred to as chemometrics. A key figure in the development of chemometrics and its application to industrial problems has been B.R. Kowalski [18, 147, 319] who led the Center for Process Analytical Chemistry (CPAC) that was established in 1984. To aid qualitative and quantitative analysis of chemical data, Eigenvector Technologies Inc., a developer of independent commercial software, has provided a number of software solutions, primarily as a Matlab Toolbox [328]. 

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