$50.25

# A Concise Course in Advanced Level Statistics with worked examples Export Edition

By Joan Sybil Chambers, D J Crawshaw, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Steve Cavill, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

US$ 50.25

The publisher has enabled DRM protection, which means that you need to use the BookFusion iOS, Android or Web app to read this eBook. This eBook cannot be used outside of the BookFusion platform.

Book Description

This best-selling book remains the most popular stand-alone text for Advanced Level Statistics. It covers the AS and A2 specifications in Statistics for Advanced Level Maths across all boards.

Table of Contents

- Front Cover
- IFC
- Imprint
- Contents
- Preface
- 1 Representation and summary of data
- Discrete data
- Continuous data
- Stem and leaf diagrams (stemplots)
- Ways of grouping data
- Histograms
- Frequency polygons
- Frequency curves
- Circular diagrams or pie charts
- The mean
- Variability of data
- The standard deviation, s, and the variance, s²
- Combining sets of data
- Scaling sets of data
- Using a method of coding to find the mean and standard deviation
- Cumulative frequency
- Cumulative percentage frequency diagrams
- Median, quartiles and percentiles
- Skewness
- The normal distribution
- Box and whisker diagrams (box plots)
- Summary

- 2 Regression and correlation
- Scatter diagrams
- Regression function
- Linear correlation and regression lines
- The product-moment correlation coefficient, r
- Spearman’s coefficient of rank correlation, r
- Summary

- 3 Probability
- Experimental probability
- Probability when outcomes are equally likely
- Subjective probabilities
- Probability notation and probability laws
- Illustrating two or more events using Venn diagrams
- Probability rule for combined events
- Exclusive (or mutually exclusive) events
- Exhaustive events
- Conditional probability
- Independent events
- Probability trees
- Bayes’ Theorem
- Some useful methods
- Arrangements
- Permutations of r objects from n objects
- Combinations of r objects from n objects
- Summary

- 4 Probability distributions I – discrete variables
- Probability distributions
- Expectation of X, E(X)
- Expectation of any function of X, E(g(X))
- Variance, Var(X) or V(X)
- The Cumulative distribution function, F(x)
- Two independent random variables
- Distribution of X₁ + X₂ +⋯+ X
- Comparing the distributions of X₁ + X₂ and 2X
- Summary

- 5 Special discrete probability distributions
- The uniform distribution
- The geometric distribution
- Expectation and variance of the geometric distribution
- The binomial distribution
- Expectation and variance of the binomial distribution
- The Poisson distribution
- Using the Poisson distribution as an approximation to the binomial distribution
- The sum of independent Poisson variables
- Summary

- 6 Probability distributions II – continuous variables
- Continuous random variables
- Probability density function (p.d.f.)
- Expectation of X, E(X)
- Expectation of any function of X
- Variance of X, Var(X)
- The mode
- Cumulative distribution function F(x)
- Obtaining the p.d.f., f(x), from the cumulative distribution function
- The continous uniform (or rectangular) distribution
- Expectation and variance of the uniform distribution
- The cumulative distribution function, F(x), for a uniform distribution
- Summary

- 7 The normal distribution
- Finding probabilities
- The standard normal variable, Z
- Using standard normal tables
- Using standard normal tables for any normal variable, X
- Using the standard normal tables in reverse to find z when Φ(z) is known
- Using the tables in reverse for any normal variable, X
- Value of μ or σ or both
- The normal approximation to the binomial distribution
- Continuity corrections
- Deciding when to use a normal approximation and when to use a Poisson approximation for a binomial distribution
- The normal approximation to the Poisson distribution
- Summary

- 8 Linear combinations of normal variables
- The sum of independent normal variables
- The difference of independent normal variables
- Multiples of independent normal variables
- Summary

- 9 Sampling and estimation
- Sampling
- Surveys
- Sampling methods
- Simulating random samples from given distributions
- Sample statistics
- The distribution of the sample mean
- Central limit theorem
- The distribution of the sample proportion, p
- Unbiased estimates of population parameters
- Point estimates
- Interval estimates
- The t-distribution
- Confidence intervals for the population proportion, p
- Summary

- 10 Hypothesis tests: discrete distributions
- Hypothesis test for a binomial proportion, p (small sample size)
- Procedure for carrying out a hypothesis test
- One-tailed and two-tailed tests
- Summary of stages of a hypothesis (significance) test
- Type I and Type II errors
- Significance test for a Poisson mean λ
- Summary of stages of a significance test
- Summary of Type I and Type II errors

- 11 Hypothesis testing (z-tests and t-tests)
- Hypothesis testing
- One-tailed and two-tailed tests
- Critical z-values
- Summary of critical values and rejection criteria
- Stages in the hypothesis test
- Hypothesis test 1: testing μ (the mean of a population)
- Type I and Type II errors
- Hypothesis test 2: testing a binomial proportion p when n is large
- Hypothesis test 3: testing μ₁ − μ₂, the difference between means of two normal populations
- Summary

- 12 The χ² significance test
- The χ² significance test
- Performing a χ² goodness-of-fit test
- Summary of the procedure for performing a χ² goodness-of-fit test
- Test 1 – goodness-of-fit test for a uniform distribution
- Test 2 – goodness-of-fit test for a distribution in a given ratio
- Test 3 – goodness-of-fit test for a binomial distribution
- Test 4 – goodness-of-fit test for a Poisson distribution
- Test 5 – goodness-of-fit test for a normal distribution
- Summary of the number of degrees of freedom for a goodness-of-fit test
- The χ² significance test for independence
- Summary

- 13 Significance tests for correlation coefficients
- Significance tests for correlation coefficients
- Test for the product-moment correlation coefficient, r
- Spearman’s coefficient of rank correlation, r
- Summary

- ICT statistics supplement
- Appendix
- Cumulative binomial probabilities
- Cumulative Poisson probabilities
- The standard normal distribution function
- Critical values for the normal distribution
- Critical values for the t-distribution
- Critical values for the χ² distribution
- Critical values for correlation coefficients
- Random numbers

- Answers

You May Also Like

A Concise Course in Advanced Level Statistics with worked examples UK Edition

By Joan Sybil Chambers, D J Crawshaw, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Steve Cavill, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Calculations for A Level Physics

By J F Rounce, T L Lowe, Joan Sybil Chambers, D J Crawshaw, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Steve Cavill, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel Further Maths: Further Pure 2 For AS and A Level

By Ian Bettison, Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

BTEC Level 2 Firsts in Sport

By Ray Barker, Darrel Barsby, Rob Commons, Gez Rizzo, Michala Swales, Ian Wood, J F Rounce, T L Lowe, Joan Sybil Chambers, D J Crawshaw, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Steve Cavill, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton

Edexcel Further Maths: Further Mechanics 2 For AS and A Level

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

AQA A Level Maths: Year 1 / AS Level: Bridging Edition

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel Further Maths: Decision Maths 2 For AS and A Level

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel A Level Maths: Year 2

By Katie Wood, Mark Rowlands, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel A Level Maths: Year 1 and 2: Bridging Edition

By Katie Wood, Mark Rowlands, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

AQA A Level Maths: Year 1 and 2: Bridging Edition

By Katie Wood, Mark Rowlands, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Also Available On

Categories