*Part Two: Advanced Techniques and Topics*

**I. Preliminaries**

**A. Discussion of First Exam**

**B. Details about Term Paper**

**C. Overview of Part Two**

**II. Categorical (Nominal, Qualitative) Measures**

**A. Dependent Variables**

**1. Multiple Regression**

**2. Discriminant Analysis**

**3. Logistic Regression**

**B. Independent Variables**

**1. Single Categorical Variable**

**a. Dichotomous: Dummy Variable Coding**

**b. Polytomous: Dummy, Effect, and Orthogonal Coding**

**2. Multiple Categorical Variables**

**a. Dummy Coding**

**b. Significance Tests: Orthogonal versus Nonorthogonal Categories**

**3. Categorical and Numerical Variables Combined**

**a. Definition and Interpretation**

**b. Significance Tests**

**III. Multiplicative Functions**

**A. Interaction Effects**

**1. Three Types**

**a. Nominal X Nominal (i.e., Qualitative X Qualitative or Categorical X Categorical)**

**b. Nominal X Numerical (i.e., Qualitative X Quantitative or Categorical X Continuous)**

**c. Numerical X Numerical (i.e., Quantitative X Quantitative or Continuous X Continuous)**

**2. Complications**

**a. Multicollinearity**

**b. Significance Tests**

**c. Interpretation: What does “control” mean with multiplicative terms in the equation?**

**B. Curvilinear Relations**

**1. Multiplicative Terms in a Single Numerical Variable**

**a. Quadratic Functions**

**b. Higher-Order Polynomial Functions**

**2. Precautions**

**a. Multicollinearity**

**b. Confounding Curvilinear and Interaction Effects**

**c. Alternatives to Polynomial Functions**

**C. Combined Models**

**1. Nonadditive Nonlinear Causal Effects**

**2. Precautions**

**IV. Complications**

**A. Outliers**

**B. Violated Assumptions**

**C. Missing Data**

**V. Review and Exam II**