Introducing Statistics
$58.49

Introducing Statistics

By Ian Cook, Graham Upton, Thorning, Sadler
US$ 58.49
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

Introducing Statistics covers all the statistics required for single-subject Advanced Level Mathematics and also provides the basis for a first course in statistics in higher education. This is a highly accessible resource, supported by clear illustrations, nearly 200 worked examples, and packed with examination style questions.

Table of Contents
  • Front Cover
  • IFC
  • Imprint
  • Contents
  • Preface to the Second Edition
  • Preface to the First Edition
  • Glossary of Notation
  • 1 Summary diagrams and tables
    • 1.1 The purpose of Statistics
    • 1.2 Variables and observations
    • 1.3 Types of data
    • 1.4 Tally charts and frequency distributions
    • 1.5 Stem-and-leaf diagrams
    • 1.6 Bar charts
    • 1.7 Multiple bar charts
    • 1.8 Compound bars for proportions
    • 1.9 Pie charts
    • 1.10 Grouped frequency tables
    • 1.11 Difficulties with grouped frequencies
    • 1.12 Histograms
    • 1.13 Frequency polygons
    • 1.14 Cumulative frequency diagrams
      • Step diagrams
    • 1.15 Cumulative proportion diagrams
    • 1.16 Time series
    • 1.17 Scatter diagrams
    • 1.18 Choosing which display to use
    • 1.19 Dirty Data
    • Chapter summary
  • 2 Summary statistics
    • 2.1 The purpose of summary statistics
    • 2.2 The mode
      • Modal class
    • 2.3 The median
    • 2.4 The mean
    • 2.5 Advantages and disadvantages of the mode, mean and median
      • Advantages
      • Disadvantages
    • 2.6 Sigma (Σ) notation
      • Applications of sigma notation
    • 2.7 The mean of a frequency distribution
    • 2.8 The mean of grouped data
    • 2.9 Using coded values to simplify calculations
    • 2.10 The median of grouped data
    • 2.11 Quartiles, deciles and percentiles
      • Grouped data
      • Ungrouped data
    • 2.12 Range, inter-quartile range and midrange
    • 2.13 Box-whisker diagrams
      • Refined boxplots
    • 2.14 Deviations from the mean
    • 2.15 The variance
      • Using the divisor n
      • Using the divisor (n - 1)
    • 2.16 Calculating the variance
    • 2.17 The sample standard deviation
      • Approximate properties of the standard deviation
    • 2.18 Variance and standard deviation for frequency distributions
    • 2.19 Variance calculations using coded values
    • 2.20 Symmetric and skewed data
    • 2.21 The weighted mean and index numbers
    • Chapter summary
  • 3 Data collection
    • 3.1 Data collection by observation
    • 3.2 The purpose of sampling
    • 3.3 Methods for sampling a population
      • The simple random sample
      • Cluster sampling
      • Stratified sampling
      • Systematic sampling
      • Quota sampling
      • Self-selection
      • A national survey
    • 3.4 Random numbers
      • Pseudo-random numbers
      • Tables of random numbers
    • 3.5 Methods of data collection by questionnaire (or survey)
      • The face-to-face interview
      • The postal questionnaire
      • The telephone interview
    • 3.6 Questionnaire design
      • Some poor questions
      • Some good questions
      • The order of questions
      • Question order and bias
      • Filtered questions
      • Open and closed questions
      • The order of answers for closed questions
      • The pilot study
    • 3.7 Primary anf secondary data
    • Chapter summary
  • 4 Probability
    • 4.1 Relative frequency
    • 4.2 Preliminary definitions
    • 4.3 The probability scale
    • 4.4 Probability with equal likely outcomes
    • 4.5 The complementary event, E
    • 4.6 Venn diagrams
    • 4.7 unions and intersections of events
    • 4.8 Mutually exclusive events
      • The additional rule
    • 4.9 Exhaustive events
    • 4.10 Probability trees
    • 4.11 Sample proportions and and probability
    • 4.12 Unequally likely possibilitie
    • 4.13 Physical independence
      • The multiplication rule
    • 4.14 Orderings
      • Orderings of similar objects
    • 4.15 Permutations and combinations
    • 4.16 Sampling with replacement
    • 4.17 Sampling without replacement
    • 4.18 Conditional probability
      • The generalised multiplication rule
    • 4.19 Statistical independence
    • 4.20 The total probability theorem
    • 4.21 Bayes theorem
    • Chapter summary
  • 5 Probability distrubutions and expectations
    • 5.1 Notation
    • 5.2 Probability distributions
      • The probability function
      • Illustrating probability disctributions
      • Estimating probability distributions
      • The cumulative distribution function
    • 5.3 Some special discrete probability distributions
      • The discrete uniform distribution
      • The Bernoulli distribution
    • 5.4 The geomatric distribution
      • Notation
      • Cumulative probabilities
      • A paradox!
    • 5.5 Expectations
      • Expected value or expected number
      • Expectation of X²
    • 5.6 The variance
    • 5.7 The standard deviation
    • 5.8 Greek notation
    • Chapter summary
  • 6 Expectation algebra
    • 6.1 E(X + a) and Var(X + a)
    • 6.2 E(aX) and Var(aX)
    • 6.3 E(aX + b) and Var(aX + b)
    • 6.4 Expectations involving more than one variable
      • Var(X + Y)
      • E(X₁ + X₂) and Var (X₁ + X₂2)
      • The difference between 2X and X₁ + X₂
    • 6.5 The expectation and variance of the sample mean
    • 6.6 The unbiased estimate of the population variance
    • Chapter summary
  • 7 The binomial distribution
    • 7.1 Derivation
    • 7.2 Notation
    • 7.3 Successes and failures
    • 7.4 The shape of the distribution
    • 7.5 Tables of binomial distributions
    • 7.6 The expectation and variance of a binomial random variable
    • Chapter summary
  • 8 The Poisson distribution
    • 8.1 The Poisson process
    • 8.2 The form of the distribution
    • 8.3 The shape of a Poisson distribution
    • 8.4 Tables for Poisson distributions
    • 8.5 The Poisson approximation to the binomial
    • 8.6 Sums of independant Poisson random variables
    • Chapter summary
  • 9 Continuous random variables
    • 9.1 Histograms and sample size
    • 9.2 The probability density function, f
      • Properties of the pdf
    • 9.3 The cumulative distribution function F
      • The median, m
    • 9.4 Expectation and variance
    • 9.5 Obtaining f from F
    • 9.6 Distribution of a function of a random variable
    • 9.7 The uniform (rectangular) distributions
    • Chapter summary
  • 10 The normal distribution
    • 10.1 The standard normal distribution
    • 10.2 Tables of Φ (z)
    • 10.3 Probabilities for other normal distributions
    • 10.4 Finer detail in the tables of Φ (z)
    • 10.5 Tables of percentage points
    • 10.6 Using calculators
    • 10.7 Applications of the normal distribution
    • 10.8 General properties
    • 10.9 Linear combinations of independant normal random variables
      • Extension to more than two variables
      • Distribution of the mean of normal random variables
    • 10.10 The Central Limit Theorem
    • The distribution of the sample mean, X
    • 10.11 The normal approximation to a binomial distribution
      • Inequalities
      • Choosing between the normal and Poisson approximations to a binomial distribution
    • 10.12 The normal approximation to a Poisson distribution
    • Chapter summary
  • 11 Point and internal estimation
    • 11.1 Point estimates
    • 11.2 Confidence intervals
    • 11.3 Confidence interval for a population mean
      • Normal distribution with known variance
      • Unknown population distribution, known population variance, large sample
      • Unknown population distribution, unknown population variance, large scale
      • Poisson distribution, large mean
    • 11.4 Confidence interval for a population proportion
    • 11.5 The t-distribution
      • Tables of the t-distribution
    • 11.6 Confidence interval for a population mean using the t-distribution
    • Chapter summary
  • 12 Hypothesis tests
    • 12.1 The null and alternative hypotheses
    • 12.2 Critical regions and significance levels
    • 12.3 The general test procedure
    • 12.4 Test for mean, known variance, normal distribution or large sample
    • 12.5 Identifying the two hypotheses
      • The null hypothesis
      • The alternative hypothesis
    • 12.6 Test for mean, large sample, variance unknown
    • 12.7 Test for large Poisson mean
    • 12.8 Test for proportion, large sample
    • 12.9 Test for mean, small sample, variance unknown
    • 12.10 The p-value approach
    • 12.11 Hypothesis tests and confidence internvals
    • 12.12 Type I and Type II errors
      • The general procedure
    • 12.13 Hypothesis tests for a proportion based on a small sample
    • 12.14 Hypothesis tests for a Poisson mean based on a small sample
    • 12.15 Comparison of two means
    • 12.16 Comparison of two means - known population variances
      • Confidence interval for the common mean
    • 12.17 Comparison of two means - common unknown population variance
      • Large sample sizes
      • Small sample sizes
    • Chapter summary
  • 13 Goodness of fit
    • 13.1 The chi-squared distribution
      • Properties of the chi-squared distribution
      • Tables of the chi-squared distribution
    • 13.2 Goodness of fit to prescribe probabilities
    • 13.3 Small expected frequencies
    • 13.4 Goodness of fit to prescribe distribution type
    • 13.5 Contingency tables
      • The Yates correction
    • Chapter summary
  • 14 Regression and correlation
    • 14.1 The equation of a straight line
      • Determining the equation
    • 14.2 The estimated regression line
    • 14.3 The method of least squares
    • 14.4 Dependant random variable Y
    • 14.5 Transformations, extrapolation and outliners
    • 14.6 Confidence intervals and significance tests for the population regression coefficient β
      • Mean and variance of the estimator of β
      • Significance test for the regression coefficient
    • 14.7 Confidence intervals and significance tests for the intercept x and for the expected value of Y, with known σ²
    • 14.8 Distinguishing x and Y
    • 14.9 Deducing x from a Y-value
    • 14.10 Two regression lines
    • 14.11 Correlation
      • Nonsense correlation
    • 14.12 The product-moment correlation coefficient
      • The population product-moment correlation coefficient, p
      • Testing the significance of r
    • 14.13 Spearmans rank correlation coefficient
      • Testing the significance
      • Alternative table formats
    • 14.14 Using r for non-linear relationships
    • Chapter summary
  • Appendices
    • Cumulative probabilities for the binomial distribution
    • Cumulative probabilities for the Poisson distribution
    • The normal distribution function
    • Upper-tail percentage points for the standard normal distribution
    • Percentage points for the t-distribution
    • Percentage points for the x² distribution
    • Critical values for the product-moment correlation coefficient
    • Critical values for Spearmans rank correlation coefficient
    • Random number
  • Answers
  • Index
  • IBC
  • Back Cover
    No review for this book yet, be the first to review.
      No comment for this book yet, be the first to comment
      You May Also Like
      Introducing Pure Mathematics
      $58.49
      Introducing Pure Mathematics
      By Garry Wiseman, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler
      Further Pure Mathematics
      $56.25
      Further Pure Mathematics
      By Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler
      Further Mechanics
      $56.25
      Further Mechanics
      By Brian Jefferson, 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
      $22.49
      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
      AQA A Level Maths: Year 1 / AS Level: Bridging Edition
      $36.75
      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
      $22.49
      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
      A Concise Course in Advanced Level Statistics with worked examples Export Edition
      $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
      Edexcel Further Maths: Further Mechanics 2 For AS and A Level
      $22.49
      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
      Edexcel A Level Maths: Year 2
      $36.75
      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
      $56.25
      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