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Statistics with R

Statistics with R
A Beginner's Guide

Second Edition
Additional resources:

November 2022 | 488 pages | SAGE Publications Ltd
Statistics is made simple with this award-winning guide to using R and applied statistical methods.
With a clear step-by-step approach explained using real world examples, learn the practical skills you need to use statistical methods in your research from an expert with over 30 years of teaching experience. With a wealth of hands-on exercises and online resources, practice your skills using the data sets and R scripts from the book with handy screencasts to accompany you. 

This book is ideal for anyone looking to:
Complete an introductory course in statistics
Prepare for more advanced statistical courses
Gain the transferable analytical skills needed to interpret research from across the social sciences
Learn the technical skills needed to present data visually
Acquire a basic competence in the use of R.  

This edition also includes a gentle introduction to Bayesian methods integrated throughout.

The author has created a wide range of online resources, including: over 90 R scripts, 36 datasets, 37 screen casts, complete solutions for all exercises, and 130 multiple-choice questions to test your knowledge. 
Chapter 1: Introduction and R Instructions
Basic Terminology

Data: Qualitative or Quantitative

Data: Cross-Sectional or Longitudinal

Descriptive Statistics


Statistics: Estimation and Inference

Chapter 2: Descriptive Statistics: Tabular and Graphical Methods
Methods of Summarizing and Displaying Qualitative Data

Methods of Summarizing and Displaying Quantitative Data

Cross Tabulations and Scatter Plots

Chapter 3: Descriptive Statistics: Numerical Methods
Measures of Central Tendency

Measures of Location

Exploratory Data Analysis: The Box Plot Display

Measures of Variability

The z-Score: A Measure of Relative Location

Measures of Association: The Bivariate Case

The Geometric Mean

Chapter 4: Introduction to Probability
Some Important Definitions

Counting Rules

Assigning Probabilities

Events and Probabilities

Probabilities of Unions and Intersections of Events

Conditional Probability

Bayes' Theorem and Events

Chapter 5: Discrete Probability Distributions
The Discrete Uniform Probability Distribution

The Expected Value and Standard Deviation of a Discrete Random Variable

The Binomial Probability Distribution

The Poisson Probability Distribution

The Hypergeometric Probability Distribution

The Hypergeometric Probability Distribution: The General Case

Bayes' Theorem and Discrete Random Variables

Chapter 6: Continuous Probability Distributions
Continuous Uniform Probability Distribution

Normal Probability Distribution

Exponential Probability Distribution

Optional Material: Derivation of the Cumulative Exponential Probability Func- tion

Bayes' Theorem and Continuous Random Variables

Chapter 7: Point Estimation and Sampling Distributions
Populations and Samples

The Simple Random Sample

The Sample Statistic: x, s, and p

The Sampling Distribution of x

The Sampling Distribution of p

Some Other Commonly Used Sampling Methods

Bayes' Theorem: Approximate Bayesian Computation

Chapter 8: Confidence Interval Estimation
Chapter 9: Hypothesis Tests: Introduction, Basic Concepts, and an Example
Chapter 10: Hypothesis Tests about Means and Proportions: Applications
Chapter 11: Comparisons of Means and Proportions
Chapter 12: Simple Linear Regression
Chapter 13: Multiple Regression
Simple Linear Regression: A Reprise

Multiple Regression: The Model

Multiple Regression: The Multiple Regression Equation

The Estimated Multiple Regression Equation

Multiple Regression: The 2 Independent Variable Case

Assumptions: What Are They? Can We Validate Them?

Tests of Significance: The Overall Regression Model

Tests of Signicance: The Independent Variables

There Must Be An Easier Way Than This, Right?

Using the Estimated Regression Equation for Prediction

Independent Variable Selection: The Best-Subsets Method

Logistic Regression: The Zero-One Dependent Variable

Bayes' Theorem: Stan and Multiple Regression Analysis


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ISBN: 9781529753523

ISBN: 9781529753530