Introduction The Even You Can Learn Statistics and Analytics Owner's Manual. xiii
Chapter 1 Fundamentals of Statistics. 1
1.1 The First Three Words of Statistics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.2 The Fourth and Fifth Words. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.3 The Branches of Statistics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.4 Sources of Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.5 Sampling Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.6 Sample Selection Methods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Chapter 2 Presenting Data in Tables and Charts . 15
2.1 Presenting Categorical Variables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.2 Presenting Numerical Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.3 “Bad” Charts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Chapter 3 Descriptive Statistics. 45
3.1 Measures of Central Tendency. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.2 Measures of Position. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3.3 Measures of Variation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
3.4 Shape of Distributions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Chapter 4 Probability. 75
4.1 Events. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
4.2 More Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
4.3 Some Rules of Probability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
4.4 Assigning Probabilities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
Chapter 5 Probability Distributions. 87
5.1 Probability Distributions for Discrete Variables. . . . . . . . . . . . . . . . . . . . . . . . 87
5.2 The Binomial and Poisson Probability Distributions. . . . . . . . . . . . . . . . . . . . 93
5.3 Continuous Probability Distributions and the Normal Distribution . . . . . . . 100
5.4 The Normal Probability Plot. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108
Chapter 6 Sampling Distributions and Confidence Intervals. 121
6.1 Foundational Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
6.2 Sampling Error and Confidence Intervals. . . . . . . . . . . . . . . . . . . . . . . . . . . 125
6.3 Confidence Interval Estimate for the Mean Using the t Distribution (? Unknown). . . 128
6.4 Confidence Interval Estimation for Categorical Variables . . . . . . . . . . . . . . . 131
6.5 Confidence Interval Estimation When Normality Cannot Be Assumed. . . . . 134
Chapter 7 Fundamentals of Hypothesis Testing. 145
7.1 The Null and Alternative Hypotheses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
7.2 Hypothesis Testing Issues. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
7.3 Decision-Making Risks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149
7.4 Performing Hypothesis Testing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
7.5 Types of Hypothesis Tests. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
Chapter 8 Hypothesis Testing: Z and t Tests. 157
8.1 Test for the Difference Between Two Proportions . . . . . . . . . . . . . . . . . . . . . 157
8.2 Test for the Difference Between the Means of Two Independent Groups . . . . 163
8.3 The Paired t Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
Chapter 9 Hypothesis Testing: Chi-Square Tests and the One-Way Analysis of Variance (ANOVA). 183
9.1 Chi-Square Test for Two-Way Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
9.2 One-Way Analysis of Variance (ANOVA): Testing for the
Differences Among the Means of More Than Two Groups. . . . . . . . . . . . . . . 191
Chapter 10 Simple Linear Regression. 211
10.1 Basics of Regression Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
10.2 Developing a Simple Linear Regression Model. . . . . . . . . . . . . . . . . . . . . . 214
10.3 Measures of Variation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221
10.4 Inferences About the Slope. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 226
10.5 Common Mistakes When Using Regression Analysis . . . . . . . . . . . . . . . . . 229
Chapter 11 Multiple Regression. 243
11.1 The Multiple Regression Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243
11.2 Coefficient of Multiple Determination . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246
11.3 The Overall F Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246
11.4 Residual Analysis for the Multiple Regression Model . . . . . . . . . . . . . . . . . 247
11.5 Inferences Concerning the Population Regression Coefficients. . . . . . . . . . 248
Chapter 12 Introduction to Analytics. 259
12.1 Basic Concepts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259
12.2 Descriptive Analytics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
12.3 Typical Descriptive Analytics Visualizations. . . . . . . . . . . . . . . . . . . . . . . . 269
Chapter 13 Predictive Analytics. 279
13.1 Predictive Analytics Methods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279
13.2 More About Predictive Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281
13.3 Tree Induction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 284
13.4 Clustering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
13.5 Association Analysis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 290
Appendix A Microsoft Excel Operation and Configuration . 299
Appendix B Review of Arithmetic and Algebra. 301
Appendix C Statistical Tables. 311
Appendix D Spreadsheet Tips . 339
Appendix E Advanced Techniques. 343
Appendix F Documentation for Downloadable Files. 353
9780137654765, TOC, 4/25/2022