Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 196/274
Hypothesis Testing
χ² should always be computed using only absolute frequencies. If the data are given in percentages (relative frequencies), they must first be converted…
5.2.1 · Hypothesis TestingStep 3 · χ² calculation
Hypothesis Testing
fe — frequencies we would expect in the cells if there were no relationship.
fo — the frequencies actually observed.
Step 3 · Choosing the appropriate test statistic
χ² should always be computed using only absolute frequencies. If the data are given in percentages (relative frequencies), they must first be converted into absolute frequencies.
In our example:
χ² = (5−7.5)²7.5 + (10−7.5)²7.5 + (10−7.5)²7.5 + (5−7.5)²7.5 = 0.833 · 4 = 3.333
QUESTIONSTAR · Dr. Paul Marx196 / 274