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Week 5: Analyses of Continuous vs. Continuous Variables

Slides are here:

To prepare for this class:

A. Please read the following:

    • from PDQ Statistics, pages 53-61 “Simple and Multiple Linear Regression”

B. Please consider the following questions for discussion in class:

    1. How is interpretation of regression coefficients different for continuous variables compared with dichotomous or categorical variables?
    2. How is it the same?
    3. What methods can we use to visualize the relationship between a continuous variable and a categorical variable?
    4. Why should we always visualize our data before jumping into a regression model?

C. Get your radon dataset ready for analysis

  • Ensure that you know how to create a data subset in Deducer

Objectives of this class:

A. Hypothesis generation for continuous variables

  • Which variables in the radon dataset are continuous?
  • How might they be associated with the radon concentrations?
  • How can we test our hypotheses?

B. Visualization of continuous variables by other continuous variables

  • Scatter plots

C. Testing and quantifying the association between two continuous variables

  • Pearson’s correlation coefficient

D. Multiple linear regression

  • What happens when you have more than one variable?
  • Unadjusted and adjusted effect estimates
  • Interpretation of coefficients
  • Interpretation of test statistics
  • Approaches to variable selection

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