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

  T1 T2 T3
Jack 80 78 75
Jason 71 83 84
Joe 70 80 79
Jim 84 83 80
John 78 86 79
Jesse 76 81 76
Joel 82 81 83
Jonas 65 73 83
Joshua 77 73 83
Julius 77 74 81

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:

  SS DF MS F Fc Conclusion
Total 1415.37 29        
Subjects 355.367 9        
Within_Subjects 1060 20        
Groups 532.867 2 49.9      
Remainder 527.133 18 21.1963      
Test H0       2.35418 3.55456 1

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.

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