If I were to give out a survey with questions based on a visual-analog scale, and I want to compare the results for each of these, which statistical test is generally the most appropriate?
If for example:
- Q1 asked about the warmth or reception to the color Blue, given a visual-analog scale from 0 (extreme dislike) to 100 (extreme like)
- Q2 asked about the warmth or reception to Babies, given the same scale.
- Survey distributed to 1000 people
- I want to know if people are generally more receptive to the color Blue vs. Babies (in reality the true question would be more comparable than color to baby).
My understanding here is:
- The answers to the questions come from the same person => Does this automatically imply sample dependency and toss out t-test / Wilcoxon Ranked Sum? Or if I check the cor(Q1, Q2) to be roughly 0, can I claim independence?
- The responses are inherently ordinal, which makes the mean values of the scores less meaningful than the rank. Can we automatically impose linearity here? My gut says no.
- Sample size large enough for CTL to say sample distribution of means will be normal.
So ultimately... which test do we use?