I performed the following experiment:
Each user (U) used several interfaces (I). Both U and I are to be
treated as random factors. For each U and I combination, time (T),
errors (E) and satisfaction (S) were measured. The data looks
something like:
U I T E S
--- --- --- --- ---
U1 I1 100 10 90
U1 I2 200 20 80
U1 I3 300 30 70
U1 I4 400 40 60
U2 I1 102 11 91
U2 I2 198 18 81
U2 I5 500 50 50
U2 I6 600 60 40
.
.
.
etc.
Please note that NOT all the users used all the interfaces.
The question is: I wish to find the correlations between T, E and S
(viz., nullify the effects of U and I). What is the best statistical
method of doing this? I think something along the lines of Anova or
Variance Components should do that trick... I have SPSS, so any advice
on how to interpret the output will be most appreciated (please bear
in mind that I do not have a degree in statistics).
Many thanks.
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