I have an experiment design with:
Variable 1 - 2 levels
Variable 2 - 3 levels
And demographic information collected about my participants:
Demographic 1 - 2 levels
Demographic 2 - 3 levels
Demographic 3 - 2 levels
Demographic 4 - 4 levels
Dependant variable - Score on a perception test
The experimental variables show homogeneity of residuals but the demographic variables do not (both Levene's and Bartlett's test give the same outcomes). My ideal test would be 2 tailed anova or regression for the different variable types but i can't do this one for the demographic ones. I have looked separately at the experimental variables using Anova/Tukey, and the demographics using Kruskall-Wilk/Dunn. I also looked at the demographics through Anova/Tukey and the significant/not significant markings match for both sets of tests. I'm getting to the regressions next.
I want to see if there are interactions, specifically between Variable 2 and Demographic 4. The variable is categorical interval groups - the length of stimulus (2 syllables, 4 syllables, 6 syllables, accumulative) and the other is categorical ordinal - the self identified level of awareness/exposure of/to the phenomena that I'm testing (I do this myself, i don't do it know someone who does, etc). Is there a test that would allow this? I'm guessing that I can't take a chance on Anova but it would be nice to have this confirmed. I was thinking about making new groups:
Group A = Variable 2, Level 1 + Demographic 4 Level 1
Group B = Variable 2, Level 2 + Demographic 4 Level 1
Group C = Variable 2, Level 1 + Demographic 4 Level 2
Group D = Variable 2, Level 2 + Demographic 4 Level 2 ... and so on
Then do tests on Score~Group A, Score~Group B and so on.
Would this be an option?