ISBN-10:
1119269490
ISBN-13:
9781119269496
Pub. Date:
03/27/2017
Publisher:
Wiley
Applied Mathematics for the Analysis of Biomedical Data: Models, Methods, and MATLAB / Edition 1

Applied Mathematics for the Analysis of Biomedical Data: Models, Methods, and MATLAB / Edition 1

by Peter J. Costa
Current price is , Original price is $125.0. You

Temporarily Out of Stock Online

Please check back later for updated availability.

Product Details

ISBN-13: 9781119269496
Publisher: Wiley
Publication date: 03/27/2017
Pages: 448
Product dimensions: 5.90(w) x 9.20(h) x 1.10(d)

About the Author

PETER J. COSTA, PhD, is Senior Applied Mathematician at Hologic Incorporated in Marlborough, MA. Dr. Costa is the co-creator of MATLAB's Symbolic Math Toolbox. He has developed mathematical models for the spread of HIV, the outbreak of AIDS, the transmission of an infectious respiratory disease throughout a population, and the diagnosis of cervical cancer. His research interests include scientific computing and mathematical biology. He received a PhD in Applied Mathematics from the University of Massachusetts at Amherst.

Read an Excerpt

Click to read or download

Table of Contents

Preface xi

Acknowledgements xiii

About the Companion Website xv

Introduction xvii

1 Data 1

1.1 Data Visualization 1

1.2 Data Transformations 3

1.3 Data Filtering 7

1.4 Data Clustering 17

1.5 Data Quality and Data Cleaning 25

References 28

2 Some Examples 29

2.1 Glucose–Insulin Interaction 30

2.2 Transition from HIV to AIDS 33

2.3 Real-Time Polymerase Chain Reaction 37

References 45

Further Reading 45

3 SEIR Models 47

3.1 Practical Applications of SEIR Models 50

References 88

Further Reading 90

4 Statistical Pattern Recognition and Classification 93

4.1 Measurements and Data Classes 94

4.2 Data Preparation Normalization and Weighting Matrix 98

4.3 Principal Components 104

4.4 Discriminant Analysis 107

4.5 Regularized Discriminant Analysis and Classification 112

4.6 Minimum Bayes Score Maximum Likelihood and Minimum Bayes Risk 116

4.7 The Confusion Matrix Receiver–Operator Characteristic Curves and Assessment Metrics 122

4.8 An Example 127

4.9 Nonlinear Methods 131

References 139

Further Reading 140

5 Biostatistics and Hypothesis Testing 141

5.1 Hypothesis Testing Framework 142

5.2 Test of Means 157

5.3 Tests of Proportions 179

5.4 Tests of Variances 212

5.5 Other Hypothesis Tests 232

References 268

Further Reading 270

6 Clustered Data and Analysis of Variance 271

6.1 Clustered Matched-Pair Data and Non-Inferiority 273

6.2 Clustered Data Assessment Metrics and Diagnostic Likelihood Ratios 278

6.3 Relative Diagnostic Likelihood Ratios 286

6.4 Analysis of Variance for Clustered Data 291

6.5 Examples for Anova 300

6.6 Bootstrapping and Confidence Intervals 314

References 316

Further Reading 316

Appendix: Mathematical Matters 317

Glossary of MATLAB Functions 335

Index 407

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews