Data Analysis

This text, intended for beginning graduate students, bridges the gap between statistical theory and physcal experiment. It provides a thorough introduction to the statistical methods used in the experimental physical sciences and to the numerical methods used to implement them.

Zusammenfassung

From the reviews:

"The book is concise, but gives a sufficiently rigorous mathematical treatment of practical statistical methods for data analysis It can be of great use to all who are involved with data analysis." Physicalia

"... Serves as a nice reference guide for any scientist interested in the fundamentals of data analysis on the computer." The American Statistician

Inhalt

1. Introduction; 2. Probabilities; 3. Random Variables; 4. Computer- Generated Random Numbers: The Monte Carlo Method; 5. Some Important Distributions and Theorems; 6. Samples; 7. The Method of Maximum Likelihood; 8. Testing Statistical Hypotheses; 9. The Method of Least Squares; 10. Function Minimization; 11. Analysis of variance; 12. Linear and Polynomial Regression; 13. Time-Series Analysis; Appendix A: Matrix Calculation; Appendix B: Combinatorics; Appendix C: Formulas and Programs for Statistical Functions; Appendix D: The Gamma Function and Related Functions. methods and Programs for Their Computation; Appendix E: Utility Programs; Appendix F: The Graphics Programming Package GRPACK; Appendix G: Software Installation and technical Hints; Appendix H: Collection of Formulas; Appendix I: Statistical Tables; Literature; List of Computer Programs; Register.