كتاب Using MATLAB to Solve Statistical Problems - A Practical Guide to the Book

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Using MATLAB to Solve Statistical Problems
A Practical Guide to the Book
“Statistics for Chemical and Process Engineers”
Yuri A. W. Shardt

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Contents
1 Introduction to MATLAB 1
1.1 Basic MATLAB Commands 2
1.2 Creating Matrices, Vectors, and Cell Arrays 2
1.3 MATLAB Functions 4
2 Data Visualisation 9
2.1 Summary of Relevant Functions . 9
2.1.1 MATLAB Functions for Descriptive Statistics 9
2.1.2 MATLAB Functions for Data Visualisation 9
2.1.3 MATLAB Figure Interface . 11
2.1.4 Copying and Saving Figures for Future Use 11
2.2 Detailed Example . 16
2.2.1 Prerequisites . 17
2.2.2 Solution 17
2.3 Practice Questions 20
3 Theoretical Statistics, Distributions, Hypothesis Testing, and
Confidence Intervals 23
3.1 Summary of Relevant Functions . 23
3.1.1 MATLAB Functions for Statistical Distributions 23
3.1.2 Hypothesis Testing 27
3.1.3 Confidence Intervals 27
3.2 Detailed Examples 28
3.2.1 Testing a Mean Against a Theoretical Value 29
3.2.2 Comparing Two Sample Variances . 30
3.3 Practice Questions 32X Contents
4 Regression Analysis and Design of Experiments . 33
4.1 Summary of Relevant Functions . 33
4.1.1 MATLAB Formulae for Ordinary, Linear Regression . 33
4.1.2 MATLAB Formulae for Weighted Linear Regression . 34
4.1.3 MATLAB Formulae and Procedures for Nonlinear
Regression 38
4.1.4 MATLAB Formulae for Design of Experiments . 43
4.2 Detailed Examples 44
4.2.1 Linear Regression 44
4.2.2 Nonlinear Regression 50
4.2.3 Factorial Design Example 54
4.3 Practice Questions 59
References . 65
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