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Essentials of Statistics for Scientists and Technologists

  • Book
  • © 1966

Overview

Authors:
  1. C. Mack

    1. Applied Mathematics, Institute of Technology, Bradford, UK

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction or ‘What is statistics?’

    • C. Mack
    Pages 1-2

  3. The presentation of data

    • C. Mack
    Pages 3-14

  4. Probability, its meaning, real and theoretical populations

    • C. Mack
    Pages 15-22

  5. Basic properties of the normal distribution

    • C. Mack
    Pages 23-29

  6. Some properties of sampling distributions

    • C. Mack
    Pages 30-37

  7. Applications of normal sampling theory; significance tests

    • C. Mack
    Pages 38-51

  8. Normal sampling theory: test for difference between several sample means, analysis of variance, design of experiments

    • C. Mack
    Pages 52-62

  9. Normal sampling theory: estimation of ‘parameters’ by confidence intervals, by maximum likelihood

    • C. Mack
    Pages 63-71

  10. The binomial distribution: laws of probability, applications of the binomial distribution, the multinomial distribution

    • C. Mack
    Pages 72-88

  11. The Poisson, the negative exponential, and the rectangular distributions

    • C. Mack
    Pages 89-94

  12. The χ2-test for ‘goodness of fit’: test for ‘association’

    • C. Mack
    Pages 95-105

  13. Fitting lines and curves to data, least squares method

    • C. Mack
    Pages 106-115

  14. Regression curves and lines, correlation coefficient, normal bivariate distribution

    • C. Mack
    Pages 116-125

  15. Some distribution-independent (or ‘distribution-free’ or ‘non-parametric’) tests

    • C. Mack
    Pages 126-131

  16. Note on sampling techniques and quality control

    • C. Mack
    Pages 132-134

  17. Some problems of practical origin

    • C. Mack
    Pages 135-150

  18. Back Matter

    Pages 151-174
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Keywords

About this book

Statistics is of ever-increasing importance in Science and Technology and this book presents the essentials of the subject in a form suitable either as the basis of a course of lectures or to be read and/or used on its own. It assumes very little in the way of mathematical knowledge-just the ability to substitute numerically in a few simple formulae. However, some mathematical proofs are outlined or given in full to illustrate the derivation of the subject; these can be omitted without loss of understanding. The book does aim at making clear the scope and nature of those essential tests and methods that a scientist or technologist is likely to need; to this end each chapter has been divided into sections with their own subheadings and some effort has been made to make the text unambiguous (if any reader finds a misleading point anywhere I hope he will write to me about it). Also with this aim in view, the equality of probability to proportion of population is stated early, then the normal distribution and the taking of samples is discussed. This occupies the first five chapters. With the principles of these chapters understood, the student can immediately learn the significance tests of Chapter 6 and, if he needs it, the analysis of variance of Chapter 7. For some scientists this will be most of what they need. However, they will be in a position to read and/or use the remaining chapters without undue difficulty.

Authors and Affiliations

  • Applied Mathematics, Institute of Technology, Bradford, UK

    C. Mack

Bibliographic Information

  • Book Title: Essentials of Statistics for Scientists and Technologists

  • Authors: C. Mack

  • DOI: https://doi.org/10.1007/978-1-4615-8615-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: C. Mack 1966

  • Softcover ISBN: 978-1-4615-8617-3Published: 28 January 2012

  • eBook ISBN: 978-1-4615-8615-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 182

  • Topics: Statistics and Computing/Statistics Programs, Statistics, general

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