Context: I ran a survey where I asked one person to qualitatively assess multiple wines. They was asked to choose one or more adjective to describe the taste, the smell (non-dichotomous categorical) of each wine. They was also asked to select one (out of four) evaluation of the strength (dichotomous categorical) for each wine.
Below is an example of results I obtained. The number in each cell represents the number of different wines that matches both metrics.
|Taste |Smell |Strength
|fruity fleshy full-bodied none of the|red fruits nuts earth none of the|very strong strong mild very mild
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Taste fruity | 9 | |
fleshy | 4 9 | |
full-bodied| 2 4 5 | |
none of the| 0 0 0 5| |
-------------------------------------------------------------------------------------------------------------------------------------------------------------
Smell red fruits | 3 3 0 2| 6 |
nuts | 2 2 1 3| 1 7 |
earth | 4 4 2 2| 2 3 8 |
none of the| 2 2 3 1| 0 0 0 5|
-------------------------------------------------------------------------------------------------------------------------------------------------------------
Strength very strong| 3 1 2 0| 0 2 1 2| 4
strong | 2 2 0 1| 4 0 1 0| 0 4
mild | 3 3 1 2| 1 2 3 2| 0 0 6
very mild | 1 2 1 2| 1 3 3 0| 0 0 0 5
Examples:
- 2 wines were considered having a full-bodied (left) and fruity (top) taste.
- 9 wines were considered having a fruity (left and top) taste. Note that, because the expert could choose more than one taste (and more than one smell, but only one strength) per wine, the 2 wines mentioned above are include in the 9 here mentioned.
(There are 19 wines in total)
Issue: I want to know wether some of the values/variables are correlated or not.
Either between two values of a single variable, e.g.:
Fleshy and full bodied tastes are significantly correlated.
Or between values of different variables; e.g.:
The fruity taste is significantly correlated with the red fruit smell.
Question: Which test should I use in such context? Is there a difference between dichotomous and non-dichotomous variables?
