SAS-ANALYTICS

Statistics I: Introduction to ANOVA, Regression, and
Logistic Regression
Table of Contents
Chapter 1 Introduction to Statistics ..................................................................... 1-1
1.1 Fundamental Statistical Concepts ....................................................................................1-3
1.2 Examining Distributions ................................................................................................1-10
1.3 Confidence Intervals for the Mean ................................................................................1-38
1.4 Hypothesis Testing.........................................................................................................1-50
1.5 Exercises ........................................................................................................................1-62
1.6 Chapter Summary ..........................................................................................................1-64
1.7 Solutions to Exercises....................................................................................................1-66
Chapter 2 Analysis of Variance (ANOVA) ............................................................ 2-1
2.1 One-Way ANOVA: Two Populations...............................................................................2-3
2.2 ANOVA with More than Two Populations ....................................................................2-28
2.3 Two-Way ANOVA with Interactions..............................................................................2-58
2.4 Exercises ........................................................................................................................2-72
2.5 Chapter Summary ..........................................................................................................2-74
2.6 Solutions to Exercises....................................................................................................2-76
Chapter 3 Regression............................................................................................ 3-1
3.1 Exploratory Data Analysis ...............................................................................................3-3
3.2 Simple Linear Regression ..............................................................................................3-30
3.3 Concepts of Multiple Regression...................................................................................3-53
3.4 Model Building and Interpretation.................................................................................3-73
3.5 Exercises ........................................................................................................................3-98
3.6 Chapter Summary ........................................................................................................3-101
3.7 Solutions to Exercises..................................................................................................3-103
Chapter 4 Regression Diagnostics....................................................................... 4-1
4.1 Examining Residuals .......................................................................................................4-3
4.2 Influential Observations.................................................................................................4-18
4.3 Collinearity ....................................................................................................................4-30
4.4 Exercises ........................................................................................................................4-50
4.5 Chapter Summary ..........................................................................................................4-51
4.6 Solutions to Exercises....................................................................................................4-52
Chapter 5 Categorical Data Analysis.................................................................... 5-1
5.1 Describing Categorical Data ............................................................................................5-3
5.2 Tests of Association .......................................................................................................5-20
5.3 Introduction to Logistic Regression...............................................................................5-45
5.4 Multiple Logistic Regression.........................................................................................5-73
5.5 Logit Plots (Self-Study) .................................................................................................5-96
5.6 Exercises ......................................................................................................................5-104
5.7 Chapter Summary ........................................................................................................5-106
5.8 Solutions to Exercises..................................................................................................5-108

Statistics II: ANOVA and
Regression
Table of Contents
Chapter 1 Multiple Linear Regression.................................................................. 1-1
1.1 Review of Multiple Linear Regression ............................................................................1-3
1.2 Simple Polynomial Regression ......................................................................................1-20
1.3 Multiple Polynomial Regression....................................................................................1-46
1.4 Regression Model Diagnostics ......................................................................................1-68
1.5 Remedial Measures......................................................................................................1-104
1.6 Exercises ......................................................................................................................1-136
1.7 Chapter Summary ........................................................................................................1-137
1.8 Solutions to Exercises..................................................................................................1-140
Chapter 2 Introduction to Generalized Linear Models........................................ 2-1
2.1 Introduction to Generalized Linear Models .....................................................................2-3
2.2 Introduction to Poisson Regression .................................................................................2-8
2.3 Introduction to Gamma Regression ...............................................................................2-35
2.4 Exercises ........................................................................................................................2-49
2.5 Chapter Summary ..........................................................................................................2-51
2.6 Solutions to Exercises....................................................................................................2-52
Chapter 3 Nonlinear Regression (Self-Study) ..................................................... 3-1
3.1 Introduction to Nonlinear Regression..............................................................................3-3
3.2 Fitting a Nonlinear Regression Model...........................................................................3-13
3.3 Exercises ........................................................................................................................3-32
3.4 Chapter Summary ..........................................................................................................3-33
3.5 Solutions to Exercises....................................................................................................3-34
Chapter 4 Analysis of Variance............................................................................. 4-1
4.1 ANOVA Review...............................................................................................................4-3
4.2 Contrasts and Estimates .................................................................................................4-19
4.3 Balanced versus Unbalanced Data.................................................................................4-38
4.4 Evaluations of Model Assumptions and Remedial Measures ........................................4-56
4.5 Exercises ........................................................................................................................4-83
4.6 Chapter Summary ..........................................................................................................4-85
4.7 Solutions to Exercises....................................................................................................4-87
Chapter 5 Regression Using Indicator Variables and Analysis of Covariance
5.1 Regression Using Indicator Variables ..............................................................................5-3
5.2 Introduction to Analysis of Covariance .........................................................................5-25
5.3 Comparing Analysis of Covariance with Regression Using Indicator Variables...........5-42
5.4 Exercises ........................................................................................................................5-55
5.5 Chapter Summary ..........................................................................................................5-56
5.6 Solutions to Exercises....................................................................................................5-58
Chapter 6 Introduction to Mixed Models.............................................................. 6-1
6.1 Defining Mixed Models...................................................................................................6-3
6.2 Using the MIXED Procedure.........................................................................................6-12
6.3 Comparison of the GLM and MIXED Procedures ........................................................6-29
6.4 Introduction to the Theory of General Linear Mixed Models........................................6-38
6.5 Exercises ........................................................................................................................6-44
6.6 Chapter Summary ..........................................................................................................6-45
6.7 Solutions to Exercises....................................................................................................6-46