- Presents an accessible reference to the key concepts in probability and statistics
- Introduces each concept through bitesize descriptions
- Presents interesting real-world examples
- Includes lots of diagrams and graphs to illustrate the topics

**A Whistle-Stop Tour of Statistics** introduces basic probability and statistics through bite-size coverage of key topics. A review aid and study guide for undergraduate students, it presents descriptions of key concepts from probability and statistics in self-contained sections.

**Features**

- Presents an accessible reference to the key concepts in probability and statistics
- Introduces each concept through bite-size descriptions and presents interesting real-world examples
- Includes lots of diagrams and graphs to clarify and illustrate topics
- Provides a concise summary of ten major areas of statistics including survival analysis and the analysis of longitudinal data

Written by Brian S, Everitt, the author of over 60 statistical texts, the book shows how statistics can be applied in the real world, with interesting examples and plenty of diagrams and graphs to illustrate concepts.

**Some Basics and Describing Data**Population, Samples and Variables

Types of Variables

Tabulating and Graphing data: Frequency Distributions, Histograms and Dotplots

Summarizing Data: Mean, Variance and Range

Comparing Data from Different Groups Using Summary Statistics and Boxplots

Relationship between Two Variables, Scatterplots and Correlation Coefficients

Types of Studies

Summary

Suggested Reading

Probability

Odds and Odds Ratios

Permutations and Combinations

Conditional Probabilities and Bayes’ Theorem

Random Variables, Probability Distributions and Probability Density Functions

Expected Value and Moments

Moment-Generating Function

Summary

Suggested Reading

Estimation

Sampling Distribution of the Mean and the Central Limit Theorem

Estimation by the Method of Moments

Estimation by Maximum Likelihood

Choosing Between Estimators

Sampling Distributions: Student’s

Summary

Suggested Reading

Inference

Significance Tests, Type I and Type II Errors, Power and the

Power and Sample Size

Student’s

The Chi-Square Goodness-of-Fit Test

Nonparametric Tests

Testing the Population Correlation Coefficient

Tests on Categorical Variables

The Bootstrap

Significance Tests and Confidence Intervals

Frequentist and Bayesian Inference

Summary

Suggested Reading

Analysis of Variance Models

Factorial Analysis of Variance

Multiple Comparisons, a priori and post hoc Comparisons

Nonparametric Analysis of Variance

Summary

Suggested Reading

Linear Regression Models

Simple Linear Regression

Multiple Linear Regression

Selecting a Parsimonious Model

Regression diagnostics

Analysis of variance as regression

Summary

Suggested reading

Logistic Regression and the Generalized Linear Model

Odds and odds ratios

Logistic regression

Generalized linear model

Variance function and overdispersion

Diagnostics for GLMs

Summary

Suggested reading

Survival Analysis

Survival data and censored observations

Survivor function, log-rank test and hazard function

Proportional hazards and Cox regression

Diagnostics for Cox regression

Summary

Suggested reading

Longitudinal Data and Their Analysis

Longitudinal data and some graphics

Summary measure analysis

Linear mixed effects models

Missing data in longitudinal studies

Summary

Suggested Reading

Multivariate Data and Their Analysis

Multivariate data

Mean vectors, variances, covariance and correlation matrices

Two multivariate distributions: The multinomial distribution and the multivariate normal distribution

The Wishart distribution

Principal Components Analysis

Summary

Suggested reading

Brian Everitt is Retired from King's College London, UK.

For an MAA member, this book might serve as a small desktop encyclopedia of statistics … . For someone with the mathematical prerequisites, it can answer questions such as ‘What is logistic regression?’ with a bit more detail than a dictionary of statistics.

—Robert W. Hayden, *MAA Reviews*, May 2012