In order to increase the value of the F statistic, which of the following must occur? A)MSwᵢthᵢn MSbₑtwₑₑn B)MSwᵢthᵢn = MSbₑtwₑₑn C)MSwᵢthᵢn

Question

In order to increase the value of the F statistic, which of the following must occur?
A)MSwᵢthᵢn > MSbₑtwₑₑn
B)MSwᵢthᵢn = MSbₑtwₑₑn
C)MSwᵢthᵢn < MSbₑtwₑₑn
D)Ratio = 1

Quizplus · Accepted Answer

To increase the value of the F statistic, we need to have a larger variation between the sample means (MSbₑtwₑₑn) compared to the variation within the samples (MSwᵢthᵢn). Therefore, we need to have a smaller value of MSwᵢthᵢn and a larger value of MSbₑtwₑₑn, which is only possible when Option C is satisfied. So, we must have MSwᵢthᵢn < MSbₑtwₑₑn to increase the value of the F statistic.

In Order to Increase the Value of the F Statistic