Below is the information for a completely randomized experimental design involving four treatments, where 12 observations were recorded for each treatment for a total of 48 observations. SST = 210 (Sum of Squares Between Groups)
SS Total = 840 (Sum of Squares Total)
The computed value of F, or the test statistic, is ______.
A) 0.25
B) 12.0
C) 4.88
D) 8.0

Question

Quizplus · Accepted Answer

To calculate the F-test statistic, we need to use the formula:

F = (SST / (k-1)) / (SSE / (n-k))

where k is the number of treatments (4 in this case) and n is the total number of observations (48 in this case). SSE can be computed as:

SSE = SSTotal - SST

Therefore,

SSE = 840 - 210 = 630

Plugging in the values, we get:

F = (210 / (4-1)) / (630 / (48-4))
F = 4.88

Therefore, the computed value of F is 4.88.

Below Is the Information for a Completely Randomized Experimental Design