Heumann C., Shalabh M.S. Introduction to Statistics and Data Analysis: With Exercises, Solutions and Applications in R

Springer International Publishing, Switzerland, 2016. — 457 p. — ISBN: 3319461605This book will benefit beginners and self-learners from various backgrounds as we complement each chapter with various exercises and detailed and comprehensible solutions. The results involving mathematics and rigorous proofs are separated from the main text, where possible, and are kept in an appendix for interested readers. Our textbook covers material that is generally taught in introductory-level statistics courses to students from various backgrounds, including sociology, biology, economics, psychology, medicine, and others. Most often, we introduce the statistical concepts using examples and illustrate the calculations both manually and using R.Descriptive Statistics.
Introduction and Framework.
Frequency Measures and Graphical Representation of Data.
Measures of Central Tendency and Dispersion.
Association of Two Variables.
Probability Calculus.
Combinatorics.
Elements of Probability Theory.
Random Variables.
Probability Distributions.
Inductive Statistics.
Inference.
Hypothesis Testing.
Linear Regression.
Appendix:lntroduction to R.
Solutions to Exercises.
Technical Appendix.
Visual Summaries