- 324 pages
- English
- PDF
- Available on iOS & Android
Statistics for Experimentalists
About This Book
Statistics for Experimentalists aims to provide experimental scientists with a working knowledge of statistical methods and search approaches to the analysis of data. The book first elaborates on probability and continuous probability distributions. Discussions focus on properties of continuous random variables and normal variables, independence of two random variables, central moments of a continuous distribution, prediction from a normal distribution, binomial probabilities, and multiplication of probabilities and independence. The text then examines estimation and tests of significance. Topics include estimators and estimates, expected values, minimum variance linear unbiased estimators, sufficient estimators, methods of maximum likelihood and least squares, and the test of significance method. The manuscript ponders on distribution-free tests, Poisson process and counting problems, correlation and function fitting, balanced incomplete randomized block designs and the analysis of covariance, and experimental design. The publication is a valuable reference for statisticians and researchers interested in the use of statistical methods.
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Table of contents
- Front Cover
- Statistics for Experimentalists
- Copyright Page
- Table of Contents
- PREFACE
- CHAPTER 1. INTRODUCTION
- CHAPTER 2. PROBABILITY
- CHAPTER 3. CONTINUOUS PROBABILITY DISTRIBUTIONS
- CHAPTER 4. ESTIMATION
- CHAPTER 5. TESTS OF SIGNIFICANCEāI
- CHAPTER 6. TESTS OF SIGNIFICANCEāII
- CHAPTER 7. TESTS OF SIGNIFICANCE-III
- CHAPTER 8. ANALYSIS OF VARIANCEāI. HIERARCHICAL DESIGNS
- CHAPTER 9. ANALYSIS OF VARIANCEāII. FACTORIAL DESIGNS
- CHAPTER 10. EXPERIMENTAL DESIGN
- CHAPTER 11. BALANCED INCOMPLETE RANDOMIZED BLOCK DESIGNS AND THE ANALYSIS OF COVARIANCE
- CHAPTER 12. CORRELATION AND FUNCTION FITTING
- CHAPTER 13. THE POISSON PROCESS AND COUNTING PROBLEMS
- CHAPTER 14. DISTRIBUTION-FREE TESTS
- HINTS AND ANSWERS TO PROBLEMS
- REFERENCES
- TABLES SECTION
- INDEX