AS Statistics

By Mary Brace & Anthony Eccles, et al
June 2007
Pearson Education
ISBN: 9780340940525
512 pages, Illustrated, 7 1/2" x 9 3/4"
$77.50 Paper Original


This accessible, comprehensive textbook is designed to support any student studying AS Statistics. This book covers all three AS modules: Z1, Z2 and Z3.

It has been designed especially for students with a non-mathematical background, but who nevertheless will need to understand some mathematical concepts when studying their other A levels. These students include those following Business Studies, Psychology, Geography and Biology courses.

This book is the only book supporting MEI AS Statistics and has all the benefits of being part of the MEI series: ­
Accessible both in design and content ­
Worked examples guide students into new
Topics and concepts within real world contexts (particularly important for these candidates)Activities, investigations and graded exercises ­
The quality assurance of MEI ­
Full support from the MEI network

In addition, there is an IT investigation at the end of each chapter.


Table of Contents:


Introduction

 

Key to symbols in this book

Unit 1

 

Exploring data

 

 

Looking at the data

 

 

Stem-and-leaf diagrams

 

 

Categorical or qualitative data

 

 

Numerical or quantitative data

 

 

Measures of central tendancy

 

 

Frequency distributions

 

 

Grouped data

 

 

Measures of spread

 

 

Linear coding

 

Data presentation and related measures of centre and spread

 

 

Bar charts and vertical line charts

 

 

Pie charts

 

 

Histograms

 

 

Measures of central tendancy and of spread using quartiles

 

 

Cumulative frequency curves

 

Probability

 

 

Measuring probability

 

 

Estimating probability

 

 

Expectation

 

 

The probability of either one event or another

 

 

The probability of events from two trials

 

 

Conditional probability

 

Discrete random variables

 

 

Discrete random variables

 

 

Expectation and variance

 

Further probability

 

 

Factorials

 

 

Permutations

 

 

Combinations

 

 

The bonomial coefficients, nCr

 

 

Calculating probabilities in less simple cases

 

The binomial distribution

 

 

The binomial distribution

 

 

The expectation of B(n, p)

 

 

Using the binomial distribution

 

 

Does the binomial distribution really work?

 

Hypothesis testing using the binomial distribution

 

 

Defining terms

 

 

Hypothesis testing checklist

 

 

Choosing the significance level

 

 

Critical values and critical regions

 

 

1-tailed and 2-tailed tests

 

 

Asymmetrical cases

Unit 2

 

The Poisson distribution

 

 

Conditions for modelling data with a Poisson distribution

 

 

The sum of two or more Poisson distributions

 

 

The Poisson approximation to the binomial distribution

 

The Normal distribution

 

 

The key features of a Normal distribution

 

 

The sum and difference of Normal variables

 

The chi-squared test

 

 

The X2 test for association

 

 

Degrees of freedom

 

 

Goodness of fit tests

 

Using the Normal distribution to interpret sample data

 

 

A hypothesis test for the mean using the Normal distribution

 

 

Confidence intervals for a population mean

 

Small samples and the t distribution

 

 

The t distribution

 

 

Confidence intervals from small samples

 

The Wilcoxon signed rank test

 

 

The Wilcoxon signed rank test for a single sample

Unit 3

 

Sampling and experimental design

 

 

Sampling

 

 

Experiments and surveys

 

 

Sampling methods

 

 

Experimental design

 

 

Design of experiments

 

Hypothesis tests on paired samples

 

 

Paired and unpaired experiments

 

 

The paired-sample t test

 

 

The Wilcoxon signed rank test for paired samples

 

Hypothesis tests on unpaired samples

 

 

Selecting the appropriate test for unpaired samples

 

 

The Normal test for unpaired samples

 

 

The t test for unpaired samples

 

 

The Wilcoxon rank sum test

 

Correlation

 

 

Bivariate data

 

 

Interpreting scatter diagrams

 

 

Pearson's product moment correlation coefficient

 

 

The meaning of a sample correlation coefficient

 

 

Interpreting correlation

 

 

Rank correlation

 

 

Spearman's rank correlation coefficient

Appendices

 

 

The derivation of the alternative form of the sum of squares, Sxx

 

 

The binomial theorem

Answers

Index

 


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