Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 194/274

Hypothesis Testing

The χ²test statistic (chi-square) tests the statistical significance of the relationship observed in a crosstab.

5.2.1 · Hypothesis TestingStep 3 · χ² idea

Step 3 · Choosing the appropriate test statistic

The χ²test statistic (chi-square) tests the statistical significance of the relationship observed in a crosstab.

H₀There is no relationship between the variables.

χ² tests the equality of frequency distributions — which frequencies are we comparing?

f_e — frequencies we would expect in the cells if there were no relationship.
f_o — the frequencies actually observed.

QUESTIONSTAR · Dr. Paul Marx194 / 274