Introductory Statistics: Exploring the World Through Data

Introductory Statistics: Exploring the World Through Data, 3rd edition

  • Robert N. Gould, 
  • Rebecca Wong, 
  • Colleen Ryan

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Overview

Real-world data can be complex and interesting. Introductory Statistics: Exploring the World Through Data teaches you how to analyze data to answer real-world problems.

Published by Pearson (July 15th 2020) - Copyright © 2020

ISBN-13: 9780136880882

Subject: Statistics, Introductory

Category: Introductory Statistics

Table of contents

1. Introduction to Data
1.1 What Are Data?
1.2 Classifying and Storing Data
1.3 Investigating Data
1.4 Organizing Categorical Data
1.5 Collecting Data to Understand Causality

2. Picturing Variation with Graphs
2.1 Visualizing Variation in Numerical Data
2.2 Summarizing Important Features of a Numerical Distribution
2.3 Visualizing Variation in Categorical Variables
2.4 Summarizing Categorical Distributions
2.5 Interpreting Graphs

3. Numerical Summaries of Center and Variation
3.1 Summaries for Symmetric Distributions
3.2 What's Unusual? The Empirical Rule and z-Scores
3.3 Summaries for Skewed Distributions
3.4 Comparing Measures of Center
3.5 Using Boxplots for Displaying Summaries

4. Regression Analysis: Exploring Associations between Variables
4.1 Visualizing Variability with a Scatterplot
4.2 Measuring Strength of Association with Correlation
4.3 Modeling Linear Trends
4.4 Evaluating the Linear Model

5. Modeling Variation with Probability
5.1 What Is Randomness?
5.2 Finding Theoretical Probabilities
5.3 Associations in Categorical Variables
5.4 Finding Empirical Probabilities

6. Modeling Rando Events: The Normal and Binomial Models
6.1 Probability Distributions Are Models of Random Experiments
6.2 The Normal Model
6.3 The Binomial Model (Optional)

7. Survey Sampling and Inference
7.1 Learning about the World through Surveys
7.2 Measuring the Quality of a Survey
7.3 The Central Limit Theorem for Sample Proportions
7.4 Estimating the Population Proportion with Confidence Intervals
7.5 Comparing Two Population Proportions with Confidence

8. Hypothesis Testing for Population Proportions
8.1 The Essential Ingredients of Hypothesis Testing
8.2 Hypothesis Testing in Four Steps
8.3 Hypothesis Tests in Detail
8.4 Comparing Proportions from Two Populations

9. Inferring Population Means
9.1 Sample Means of Rando Samples
9.2 The Central Limit Theorem for Sample Means
9.3 Answering Questions about the Mean of a Population
9.4 Hypothesis Testing for Means
9.5 Comparing Two Population Means
9.6 Overview of Analyzing Means

10. Associations between Categorical Variables
10.1 The Basic Ingredients for Testing with Categorical Variables
10.2 The Chi-Square Test for Goodness of Fit
10.3 Chi-Square Tests for Associations between Categorical Variables
10.4 Hypothesis Tests When Sample Sizes Are Small

11. Multiple Comparisons and Analysis of Variance
11.1 Multiple Comparisons
11.2 The Analysis of Variance
11.3 The ANOVA Test
11.4 Post-Hoc Procedures

12. Experimental Design: Controlling Variation
12.1 Variation Out of Control
12.2 Controlling Variation in Surveys
12.3 Reading Research Papers

13. Inference without Normality
13.1 Transforming Data
13.2 The Sign Test for Paired Data
13.3 Mann-Whitney Test for Two Independent Groups
13.4 Randomization Tests

14. Inference for Regression
14.1 The Linear Regression Model
14.2 Using the Linear Model
14.3 Predicting Values and Estimating Means

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