Questions: The general interpretation of the magnitude of effect size is that is large.

Solution Steps

To determine which value represents a large effect size, we can refer to common benchmarks for interpreting effect sizes. According to Cohen's conventions, an effect size (Cohen's d) of 0.2 is considered small, 0.5 is medium, and 0.8 is large. Therefore, we need to check which of the given values meets this criterion.

The given values for effect size are \(2\), \(0.5\), \(8\), and \(1.2\).

According to Cohen's conventions:

• An effect size of \(< 0.2\) is considered small.
• An effect size of \(0.2\) to \(0.5\) is considered medium.
• An effect size of \(> 0.8\) is considered large.

From the given values, we identify which values are considered large:

• \(2 > 0.8\) (large)
• \(0.5 < 0.8\) (not large)
• \(8 > 0.8\) (large)
• \(1.2 > 0.8\) (large)

Thus, the large effect sizes are \(2\), \(8\), and \(1.2\).

Final Answer