### ANALYZING MULTIVARIATE RELATIONSHIPS

I. Introduction to Multivariate Analysis.
A. Moving beyond bivariate relationships.
B. Controlling for the effects of other variables.
C. Analyzing cumulative effects.
D. Looking for interactions.

II. Analyzing Multivariate Relationships.
A. Elaborating bivariate tables.
B. Multiple analysis of variance.
C. Multiple linear regression.
III. Doing Multiple Regression.
A. Analyzing the relationship between two or more interval level independent variables
and one interval level dependent variable.
B. Multiple regression models and the multiple regression equation.
C. Calculating the least-squares regression line in multiple regression.
D. Interpreting the multiple regression coefficients.
E. Adding interactions.
F. Adding dummies to represent categorical variables.
G. Modeling curvilinear relationships.
IV. Multiple and partial correlations.
A. The multiple correlation coefficient and coefficient of multiple determination.
1. Comparing sums of squares.
2. Interpreting the multiple correlation coefficient and the coefficient of
multiple determination.
B. Partial correlations and standardized betas.
V. Hypothesis testing using multiple regression.
A. Testing hypothesis about the cumulative effect of model variables.
1. The null hypothesis.
2. The major assumptions.
3. The F test.
B. Testing hypotheses about regression coefficients.
1. The null hypotheses.
2. Major assumptions.
3. The t-test.