In a survey, where students were presented various stimuli, after each stimulus they were asked to rate the following:
- Quality, on a five-point scale from "Excellent" to "Bad", let's say $Q$
- Confidence in their quality ratings, on a four-point scale from "Very Confident" to "Not confident", i.e. $C$
Here are my assumptions:
Obviously these samples are dependent, since they belong to exactly one stimulus and student pair (am I right assuming so?)
Also, the questions are very similar to the Likert scale, therefore I'm unsure of whether to classify them as ordinal or interval-based (and others seem too). I'd say they're ordinal, but many researchers in my field seem to ignore that and treat them as interval-based.
Basically, what I'd like to find out is whether these ratings are dependent on each other. So, my questions are:
- Would that data be considered interval-based or ordinal?
- Which tests can I apply here? $\chi^2$? Wilcoxon signed rank test?
I've already come up with three dimensional plots that show the counts for each pair, e.g. to say "In ten cases, users chose Bad and were Not Confident about it". Or, $count(Q_1,C_4) = 10$ … But there's nothing I can statistically prove from that alone.