# Applied Statistics Using MATLAB, SPSS, STATISTICA and R

by admin in on June 1, 2019

### About The Book:

This book is intended as a reference book for students, professionals and research workers who need to apply statistical analysis to a large variety of practical problems using STATISTICA, SPSS and MATLAB. The book chapters provide a comprehensive coverage of the main statistical analysis topics (data description, statistical inference, classification and regression, factor analysis, survival data, directional statistics) that one faces in practical problems, discussing their solutions with the mentioned software packages.

The only prerequisite to use the book is an undergraduate knowledge level of mathematics. While it is expected that most readers employing the book will have already some knowledge of elementary statistics, no previous course in probability or statistics is needed in order to study and use the book. The first two chapters
introduce the basic needed notions on probability and statistics. In addition, the first two Appendices provide a short survey on Probability Theory and Distributions for the reader needing further clarification on the theoretical foundations of the statistical methods described.

The book is partly based on tutorial notes and materials used in data analysis disciplines taught at the Faculty of Engineering, Porto University. One of these management. The students in this course have a variety of educational backgrounds and professional interests, which generated and brought about datasets and analysis
objectives which are quite challenging concerning the methods to be applied and the interpretation of the results. The datasets used in the book examples and exercises were collected from these courses as well as from research. They are included in the book CD and cover a broad spectrum of areas: engineering,
medicine, biology, psychology, economy, geology, and astronomy.

Every chapter explains the relevant notions and methods concisely, and is illustrated with practical examples using real data, presented with the distinct intention of clarifying sensible practical issues. The solutions presented in the examples are obtained with one of the software packages STATISTICA, SPSS or MATLAB; therefore, the reader has the opportunity to closely follow what is being done. The book is not intended as a substitute for the STATISTICA, SPSS and MATLAB user manuals. It does, however, provide the necessary guidance for applying the methods taught without having to delve into the manuals. This includes, for each topic explained in the book, a clear indication of which STATISTICA, SPSS or MATLAB tools to be applied. These indications appear in use the tools, whenever necessary. In this way, a comparative perspective of the
specific “Commands” frames together with a complementary description on how to disciplines is attended by students of a Master’s Degree course on information capabilities of those software packages is also provided, which can be quite useful for practical purposes.

### Book Content

1 Introduction 1
1.1 Deterministic Data and Random Data…………………………………………………1
1.2 Population, Sample and Statistics ………………………………………………………5
1.3 Random Variables……………………………………………………………………………8
1.4 Probabilities and Distributions…………………………………………………………10
1.5 Beyond a Reasonable Doubt… …………………………………………………………13
1.6 Statistical Significance and Other Significances…………………………………17
1.7 Datasets ………………………………………………………………………………………..19
1.8 Software Tools ………………………………………………………………………………19
2 Presenting and Summarising the Data 29
2.1 Preliminaries …………………………………………………………………………………29
2.2 Presenting the Data ………………………………………………………………………..39
2.3 Summarising the Data…………………………………………………………………….58
3 Estimating Data Parameters 81
3.1 Point Estimation and Interval Estimation…………………………………………..81
3.2 Estimating a Mean …………………………………………………………………………85
3.3 Estimating a Proportion ………………………………………………………………….92
3.4 Estimating a Variance …………………………………………………………………….95
3.5 Estimating a Variance Ratio…………………………………………………………….97
3.6 Bootstrap Estimation………………………………………………………………………99
4 Parametric Tests of Hypotheses 111
4.1 Hypothesis Test Procedure…………………………………………………………….111
4.2 Test Errors and Test Power ……………………………………………………………115
4.3 Inference on One Population………………………………………………………….121
4.4 Inference on Two Populations ……………………………………………………….126
4.5 Inference on More than Two Populations……………………………………….141
5 Non-Parametric Tests of Hypotheses 171
5.1 Inference on One Population………………………………………………………….172
5.2 Contingency Tables………………………………………………………………………189
5.3 Inference on Two Populations ……………………………………………………….200
5.4 Inference on More Than Two Populations……………………………………….212
6 Statistical Classification 223
6.1 Decision Regions and Functions…………………………………………………….223
6.2 Linear Discriminants…………………………………………………………………….225
6.3 Bayesian Classification …………………………………………………………………234
6.4 The ROC Curve …………………………………………………………………………..246
6.5 Feature Selection………………………………………………………………………….253
6.6 Classifier Evaluation …………………………………………………………………….256
6.7 Tree Classifiers ……………………………………………………………………………259
7 Data Regression 271
7.1 Simple Linear Regression ……………………………………………………………..272
7.2 Multiple Regression ……………………………………………………………………..289
7.3 Building and Evaluating the Regression Model………………………………..303
7.4 Regression Through the Origin………………………………………………………314
7.5 Ridge Regression …………………………………………………………………………316
7.6 Logit and Probit Models ……………………………………………………………….322
8 Data Structure Analysis 329
8.1 Principal Components …………………………………………………………………..329
8.2 Dimensional Reduction…………………………………………………………………337
8.3 Principal Components of Correlation Matrices…………………………………339
8.4 Factor Analysis ……………………………………………………………………………347
9 Survival Analysis 353
9.1 Survivor Function and Hazard Function ………………………………………….353
9.2 Non-Parametric Analysis of Survival Data………………………………………354
9.3 Comparing Two Groups of Survival Data ……………………………………….364
9.4 Models for Survival Data ………………………………………………………………367
10 Directional Data 375
10.1 Representing Directional Data ……………………………………………………….375
10.2 Descriptive Statistics…………………………………………………………………….380
10.3 The von Mises Distributions ………………………………………………………….383
10.4 Assessing the Distribution of Directional Data…………………………………387

### Book Details

• Paperback: 505 pages
• Language: English

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• Price
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\$4.99

• Released
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June 1, 2019

• Last Updated
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June 1, 2019