Please check my work as I have to use this information to run a factorial design experiment. I think my answer is incorrect. In a factorial design of four factors with two levels each with a σ=0.236 minutes, use Wheeler's Shortcut Formula for Determining the Number of Replicates: N = ((8σ)/∆) 2 Determine how many experiments you will need to perform in order to have a power of 0.95 for detecting effects of size ∆=0.50 minutes. For example, would this answer change if you decided to only experiment with three of the four factors? My answers: N = (16σ/∆) 2 = ((16)(0.236)/0.50) 2 = 57.032 N = (8σ/∆) 2 = ((8)(0.236)/0.50) 2 = 14.258 If my answer is correct, will that mean I have to run 57 repetitions of all 16-factor combinations?
Please check my work as I have to use this information to run a factorial design experiment. I think my answer is incorrect.
In a factorial design of four factors with two levels each with a σ=0.236 minutes, use Wheeler's Shortcut Formula for Determining the Number of Replicates:
N = ((8σ)/∆) 2
Determine how many experiments you will need to perform in order to have a power of 0.95 for detecting effects of size ∆=0.50 minutes. For example, would this answer change if you decided to only experiment with three of the four factors?
My answers:
N = (16σ/∆) 2 = ((16)(0.236)/0.50) 2 = 57.032
N = (8σ/∆) 2 = ((8)(0.236)/0.50) 2 = 14.258
If my answer is correct, will that mean I have to run 57 repetitions of all 16-factor combinations?
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