Applied mathematics for the analysis of biomedical data : models, methods, and MATLAB /: models, methods, and MATLAB. (2017)
- Record Type:
- Book
- Title:
- Applied mathematics for the analysis of biomedical data : models, methods, and MATLAB /: models, methods, and MATLAB. (2017)
- Main Title:
- Applied mathematics for the analysis of biomedical data : models, methods, and MATLAB
- Further Information:
- Note: Peter J. Costa.
- Authors:
- Costa, Peter J
- 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,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 … (more)
- Edition:
- 1st
- Publisher Details:
- Hoboken, New Jersey : John Wiley & Sons, Inc
- Publication Date:
- 2017
- Extent:
- 1 online resource
- Subjects:
- 570.151
Biomathematics
Numerical analysis -- Computer programs
Bioinformatics -- Mathematical models - Languages:
- English
- ISBNs:
- 9781119269519
9781119269502 - Related ISBNs:
- 9781119269496
- Notes:
- Note: Description based on CIP data; item not viewed.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.120281
- Ingest File:
- 02_153.xml