Statistical treatment of experimental data
著者
書誌事項
Statistical treatment of experimental data
（Physical sciences data, 2）
Elsevier Scientific, c1978 , distributors for the U.S. and Canada, Elsevier North-Holland, c1978
2nd rev. ed
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注記
"First revised reprint." -- Cover
Bibliography: p. [366]-367
Includes index
内容説明・目次
内容説明
This book is primarily intended for researchers wishing to analyse experimental data using statistical methods. Statistical concepts and methods which may be employed to treat experimental data are explained, and the ideas and reasoning behind statistical methodology are clarified. Formal results are illustrated by many numerical worked examples mainly taken from the laboratory. Concepts, practical methodology, and worked examples are integrated in the text. Consideration is given in this work to a large number of practical topics which are often omitted from standard texts. These include; obtaining an approximate confidence interval for a function of some unknown parameters; testing for outliers, stabilization of heterogeneous variances, and significant differences between means; estimation of parameters after performing tests; deciding what numbers of significant figures to quote for sample means and variances; straight-line and polynomial regression, through the origin or not, using weighted points, and testing the homogeneity of a set of such lines or curves.
The numerous examples which are provided throughout the text will serve as models for the various problems encountered by the readers when employing statistical methods to treat experimental data. Neither a strong mathematical background nor a prior knowledge of probability or statistics is required in order to make use of this work. In addition to research workers in universities and industry, the book will be of use for first-year students of statistics, and would be expecially suitable as the basis of a graduate course in experimental sciences.
目次
1. Introduction. 2. Probability. 3. Random Variables and Sampling Distributions. 4. Some Important Probability Distributions. 5. Estimation. 6. Confidence Intervals. 7. Hypothesis Testing. 8. Tests on Means. 9. Tests on Variances. 10. Goodness of Fit Tests. 11. Correlation. 12. The Straight Line Through the Original or Through Some Other Fixed Point. 13. The Polynomial Through the Origin or Through Some Other Fixed Point. 14. The General Straight Line. 15. The General Polynomial. 16. A Brief Look at Multiple Regression. Appendices: 1. Drawing a Random Sample Using a Table of Random Numbers. 2. Orthogonal Polynomials in x. References. Index.
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