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.
Brian Everitt is Retired from King's College London, UK.
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 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 Point 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 t, Chi-Square and Fisher's F Interval Estimation, Confidence Intervals Summary Suggested Reading Inference Inference and Hypotheses Significance Tests, Type I and Type II Errors, Power and the z-Test Power and Sample Size Student's t-Tests 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 One-Way Analysis of Variance 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
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