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Hi all, I have no experience with multivariate statistics but I'm trying to figure out a type of problem that seems like it should be easy, but I don't know where to begin. I ran into the problem in my research, and I don't have a strong statistics background. I'll try to explain it with an example.
Let's say I've got two classes of individuals, "Mutants" and "Non-mutants". Let's say I have 50 Mutants and 120 Non-mutants, so 170 individuals total.
Now I want to study how these two groups may differ in some preferences.
Let's say I find that 32 of the Mutants like to eat cheese (64%), while 50 of the Non-mutants like to eat cheese (42%).
Let's say I find that 20 of the Mutants are tired (40%), while only 2 of the Non-mutants are tired (~2%).
I can do some univariate statistics and conclude that it seems that there is a statistically significant difference between the Mutants and Non-mutants in their cheese liking, and also a statistically significant difference between the Mutants and Non-mutants in their tiredness.
What I want to know is what statistical tests can I do to figure out if these differences are INDEPENDENT of each other. For instance, is the difference between the % of mutants who like cheese and % of non-mutants who like cheese really due to "mutant"/"non-mutant"? Or is it actually a product of the differences in tiredness (do tired people in general just like cheese?)
Is this even possible to answer with the information given? What sort of "multivariate statistics" do I need to do to sort something like this out?
Thank you so much in advance, and ask me any clarifying questions you need to. Thanks!
Let's say I've got two classes of individuals, "Mutants" and "Non-mutants". Let's say I have 50 Mutants and 120 Non-mutants, so 170 individuals total.
Now I want to study how these two groups may differ in some preferences.
Let's say I find that 32 of the Mutants like to eat cheese (64%), while 50 of the Non-mutants like to eat cheese (42%).
Let's say I find that 20 of the Mutants are tired (40%), while only 2 of the Non-mutants are tired (~2%).
I can do some univariate statistics and conclude that it seems that there is a statistically significant difference between the Mutants and Non-mutants in their cheese liking, and also a statistically significant difference between the Mutants and Non-mutants in their tiredness.
What I want to know is what statistical tests can I do to figure out if these differences are INDEPENDENT of each other. For instance, is the difference between the % of mutants who like cheese and % of non-mutants who like cheese really due to "mutant"/"non-mutant"? Or is it actually a product of the differences in tiredness (do tired people in general just like cheese?)
Is this even possible to answer with the information given? What sort of "multivariate statistics" do I need to do to sort something like this out?
Thank you so much in advance, and ask me any clarifying questions you need to. Thanks!