In: Statistics and Probability
In a planned study, there is a known population with a normal distribution, μ = 0 , and σ = 5 . What is the predicted effect size (d) if the researchers predict that those given an experimental treatment have a mean of:
-Question (a): −6
-Question (b): −10
-Question (c): −8
-Question (d): 0
-Question (e): 15
a.

Therefore, the following effect size (Cohen's d) is computed as:

Interpretation: The effect size obtained is d = 1.2. According to guidelines specified by Cohen, this corresponds to a large effect size.
b.

Therefore, the following effect size (Cohen's d) is computed as:

Interpretation: The effect size obtained is d = 2 According to guidelines specified by Cohen, this corresponds to a large effect size.
c.

Therefore, the following effect size (Cohen's d) is computed as:

Interpretation: The effect size obtained is d = 1.6. According to guidelines specified by Cohen, this corresponds to a large effect size.
d.

Therefore, the following effect size (Cohen's d) is computed as:

Interpretation: The effect size obtained is d = 0. According to guidelines specified by Cohen, this corresponds to a small effect size.
e.

Therefore, the following effect size (Cohen's d) is computed as:

Interpretation: The effect size obtained is d = 3. According to guidelines specified by Cohen, this corresponds to a large effect size.