You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 5 treatment groups and 9 blocks.The treatment sum of squares is 6400.The error sum of squares value is 32000.The F value (Fstat) that will be used to test the "equal treatment means" null hypothesis is
A)1.60
B)1600
C)10.00
D)3.20
E).200

Question

Quizplus · Accepted Answer

The F value (Fstat) is calculated using the formula F = MSTreatments / MSError, where MSTreatments is the mean square for treatments and MSError is the mean square for error. MSTreatments is calculated as SSTreatments / (t - 1) and MSError is SSError / [(t - 1)(b - 1)], where t is the number of treatments and b is the number of blocks. Here, SSTreatments = 6400, SSError = 32000, t = 5, and b = 9. Thus, MSTreatments = 6400 / (5 - 1) = 1600, and MSError = 32000 / [(5 - 1)(9 - 1)] = 32000 / 32 = 1000. Therefore, F = 1600 / 1000 = 1.60.

You Are Filling in the ANOVA Table Values for an Experiment