Chapter 11 Index of definitions and examples

11.1 Definitions

  • 4.4 \(\chi^2\) distribution
  • 6.4 \(p\)-value
  • 4.7 Consistent estimator
  • 1.5 Covariance
  • 4.3 Estimators
  • 1.4 Histogram
  • 5.1 Interval estimate
  • 1.2 Median and quartiles
  • 1.6 Pearson’s correlation coefficient
  • 1.1 Percentile/Quantile
  • 9.1 Power
  • 4.1 Sample mean
  • 4.2 Sample variance
  • 6.3 Size / level of significance
  • 1.7 Spearman’s correlation coefficient
  • 4.6 Standard error
  • 5.2 Student \(t\) distribution
  • 1.3 The interquartile range
  • 6.1 Type I error
  • 6.2 Type II error
  • 4.5 Unbiased estimator

11.2 Examples

  • 3.1 Choosing probability distributions to represent data.
  • 5.2 Confidence interval for a binomial probability parameter: Scottish independence opinion polls
  • 5.1 Confidence intervals for the mean and variance of a normal distribution: Netflix stock prices
  • 5.3 Confidence intervals: calculating a 99% confidence interval for a binomial probability parameter
  • 4.4 Consistency of sample mean and sample variance
  • 4.7 Consistency of sample proportion
  • 10.1 Hypothesis testing: \(\chi^2\) test for contingency table data. Analysing student module questionnaire results
  • 8.1 Hypothesis testing: comparing binomial proportions. Can early release and tagging of prisoners affect the likelihood of reoffending?
  • 7.1 Hypothesis testing: two-sample \(t\) test (\(p\)-value method). Is quitting Facebook good for you?
  • 7.2 Hypothesis testing: two-sample \(t\) test (Neyman-Pearson method). Testing a new diabetes treatment.
  • 9.1 Sample size and power calculation for a hypothesis test.
  • 4.2 Standard error of the sample mean
  • 4.6 Standard error of the sample proportion
  • 4.3 Standard error of the sample variance
  • 4.1 Unbiased estimators: sample mean and sample variance
  • 4.5 Unbiased estimators: sample proportion