Question

Several factors influence the size of the F-ratio. For each of the following, indicate whether it would influence the numerator or the denominator of the F-ratio, and indicate whether the size of the F-ratio would increase or decrease. a. Increase the differences between the sample means. b. Increase the sample variances.

Answer 1

Answer:

(a) Increase the differences between the sample means this will increase the Numerator.

(b) Increase the sample variances will increase the denominator.

Step-by-step explanation:  

F Ratio = Variance between treatments/ Variance within treatments.  

Here,  

(a) Increase the differences between the sample means:  

  - Will increase the Numerator and  

  - Size of the F-ratio would increase  

(b) Increase the sample variances:  

 - Will increase the denominator and  

 - Size of the F Ratio would decrease.