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In a study comparing two groups, the treatment group ($$n = 50$$) has a mean score of $$34.32$$ ($$SD = 10.45$$) and the control group ($$n = 50$$) has a mean score of $$21.45$$ ($$SD = 9.22$$), resulting in an extremely strong Cohen's $$d$$ of $$1.31$$. These descriptive statistics alone clearly indicate that the treatment was effective, although inferential statistics (like a $$t$$-test) are still required for a formal research report.

Example of Descriptive Statistics Showing an Effect

In a two-group experiment where the treatment group (n = 50) has a mean score of 34.32 (SD = 10.45) and the control group (n = 50) has a mean score of 21.45 (SD = 9.22), a Cohen's d of 1.31 is considered an extremely strong effect size.

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