I would like to test for significance between attribute levels of an attribute. I have three attribute levels. Is it possible to simply look at the confidence interval in the HB Utility Report? Would it be sufficient to say that attribute level x is not significantly different from attribute level y because the confidence intervals overlap?

Or is it necessary to do a t-test? I have read in the forum that this is also suitable. With three attribute levels, however, I would have to do an ANOVA in order not to increase the type 1 error? But I don't know how to implement this in SPSS, because I don't have directly a dependent and independent variable.

I would appreciate a short feedback very much!

Would it therefore be a legitimate procedure to first check the confidence intervals and then, in the case of an overlap for the respective attribute levels, to perform a t test for more precise results of the significance?

I'm a little confused because both the confidence intervals and the t-test test significance, right? Is the t test just more precise?