Respuesta :
Answer:
The Cohen's D is given by this formula:
[tex] D = \frac{\bar X_A -\bar X_B}{s_p}[/tex]
Where [tex] s_p[/tex] represent the deviation pooled and we know from the problem that:
[tex] s^2_p = 4[/tex] represent the pooled variance
So then the pooled deviation would be:
[tex] s_p = \sqrt{4}= 2[/tex]
And the difference of the two samples is [tex] \bar X_a -\bar X_b = 1[/tex], and replacing we got:
[tex] D = \frac{1}{2}= 0.5[/tex]
And since the value for D obtained is 0.5 we can consider this as a medium effect.
Step-by-step explanation:
Previous concepts
Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.
Solution to the problem
The Cohen's D is given by this formula:
[tex] D = \frac{\bar X_A -\bar X_B}{s_p}[/tex]
Where [tex] s_p[/tex] represent the deviation pooled and we know from the problem that:
[tex] s^2_p = 4[/tex] represent the pooled variance
So then the pooled deviation would be:
[tex] s_p = \sqrt{4}= 2[/tex]
And the difference of the two samples is [tex] \bar X_a -\bar X_b = 1[/tex], and replacing we got:
[tex] D = \frac{1}{2}= 0.5[/tex]
And since the value for D obtained is 0.5 we can consider this as a medium effect.
