Chi-Squared Dance

  1. Provide a nominal variable that might be displayed in the rows or columns of a table.
    A nominal variable is a categorical or qualitative variable with no ordering to the categories.

     
  2. How many categories does your variable have?
    For example, someone categorizing eye color as brown, blue, green, or other would be using 4 categories.

  3. Provide another nominal variable that might be displayed in a table:

     
  4. How many categories does your second variable have?

  5. If the variables do not interact, that is a way of saying they are  .

  6. In testing for a possible association between your two nominal variables, does a large gap between expected and observed values indicate the variables are connected? .

  7. The chi-squared distribution  .

    Graph of Chi-squared distributions with several degrees of freedom:
    Graph of Chi-squared distributions with several degrees of freedom