The difference between M₁ and M₂ is 12. The pooled variance is 5. Which of the following can be used to determine Cohen's d for an independent samples t test?
A) 12/5
B) 12/
C) 5/12
D) 5/

Question

The difference between M₁ and M₂ is 12. The pooled variance is 5. Which of the following can be used to determine Cohen's d for an independent samples t test?
A) 12/5 
B) 12/ 
C) 5/12 
D) 5/

Quizplus · Accepted Answer

Cohen's d can be calculated using the formula d = (M1 - M2) / √((s1² + s2²) / 2), where M1 and M2 are the means of the two groups and s1² and s2² are the variances. Since the variances are equal in an independent samples t test, we can use the pooled variance (s²) instead of s1² and s2². Therefore, d = (M1 - M2) / √(s²/2). Plugging in the given values, we get d = 12 / √(5/2) = 12 / 2.236 = 5.36. Thus, the correct choice is B.

The Difference Between M₁ and M₂ Is 12