I have carried a survey to consumers. A question can be seen as a vector (x, y, z) with x+y+z=1. For example, for a consumer I have: x=0.5, y=0.3, z=0.2.

Is there any statistical test/procedure to measure relationships among (x, y, z), as explained variable, and multiple explanatory variables, including ratio, ordinal and nominal ones, such as age, studies, etc.?

Thanks!

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