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I did a test where I have 7 audio systems which where compared with each other and the tester have to say if the second one is better or worse than the first (scale -3 to 3). After comparing all 21 possibilities , they where repeated so I get two results for every pair. Now my Problem is how I have to evaluate the data. My thoughts would be with a cross table like this:

        system1  system2 system3
system1    -         2       3
system2    -1         -      -1
system3    -2         0       -

Above the middle diagonal the results are inverted. Is it right to calculate the mean over a line and the inverted mean for the row and then calculate the mean over these two for every system ?

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  • $\begingroup$ What is it you want to know about these data? Do you want to know if the two ratings agree? $\endgroup$ – gung - Reinstate Monica Sep 8 '15 at 14:08
  • $\begingroup$ My final result should be the mean for every system to get a ranking $\endgroup$ – Benny Müller Sep 8 '15 at 14:18

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