A Basic Course in Statistics

Expanded and revised to include new computing exercises using actual data along with tips, solutions and a set of updated questions. Computer use is encouraged to facilitate analysis of data sets too large to be done by hand; to assist in the drawing of diagrams, histograms and scatter plots; to simulate probability models in order to illustrate probability and statistical theory. Explains how to tackle computing exercises using the statistical package MINITAB.

Introduction

List of projects

Notation

1. Populations and variates

2. Measures of the centre of a set of observations

3. Samples and populations

4. The measurement of variability

5. Looking at data

6. Probability

7. Probabilities of compound events

8. Discrete random variables

9. Expectation of random variables

10. Joint distributions

11. Estimation

12. Collecting data

13. Significance testing

14. Continuous random variables

15. The normal distribution

16. Sampling distributions of means and related quantities

17. Significance tests using the normal distribution

18. Estimation of intervals and parameters

19. Hypothesis tests using the y2 distribution

20. The Poisson distribution

21. Correlation

22. The analysis of variance

23. Simple linear regression

24. Multiple regression

Appendix I. The binomial series expansion

Appendix II. The exponential function

Appendix III. Derivatives and integrals of the exponential function

Appendix IV. Integrals related to the normal distribution

Appendix V. The limit of (1 + x/n)n as n OC OC

Appendix VI. A derivation of the Poisson distribution

Appendix VII. Partial differentiation

Bibliography

Answers

Hints on computing exercises

Tables

Index

Geoffrey M. Clarke is the author of A Basic Course in Statistics, 5th Edition, published by Wiley. D. Cooke is the author of A Basic Course in Statistics, 5th Edition, published by Wiley.