ANOVA2(RM) Test Examples

In this test we analyze repeated-measures (RM) data. For example, when 10 students are graded by three teachers the grades could look like:

T1T2T3
Jack807875
Jason718384
Joe708079
Jim848380
John788679
Jesse768176
Joel828183
Jonas657383
Joshua777383
Julius777481

H0 for this test is that students get the same mean marks from all three teachers.

To run the test execute the command:

StatsANOVA2RMTest/T=1 data0

The results of the test are displayed in the table:

SSDFMSFFcConclusion
Total1415.3729
Subjects355.3679
Within_Subjects106020
Groups532.867249.9
Remainder527.1331821.1963
Test H02.354183.554561

Since the F statistic is less than the critical value we can't reject H0. To get the P-value for this test you can execute:

Print 1-StatsFCDF(2.35418,2,18)

The result, 0.123532 is clearly larger than our default significance 0.05.