Hi,
I am wondering which test should I run
To summarize quickly my experiment, people were instructed to select some products. Some products where organic and others not. The proportion of organic/non-organic products displayed on the table was not the same (ex: 10 non-orga and 5 orga).
Therefore, I am interesting in understanding whether people tend to select more organic products or non-organic ones. But I also want to take into account that there was less organic products displayed on the table.
Which test would you use?
Thank you so much :)
Binomial test.
H0 could be p = 0.5, to see if your data sufficies to claim that organic goods were selected more (less) often that non-organic goods, or p = 5/15, to see if your data suffices to conclude a selection favouring organic over non-organic goos (or the other way around).
Jochen Wilhelm
Hi! Thank you for the answer. I may be wrong but I think it will only say me "people select or don't select organic products (= yes/no)". But it will not take into account the number of organic/non-organic products selected.
If each person can select several products, it's a beta-binomal model. The proportion of selected organics is modelled by a binomial distribution with parameter p (the probability to select an organic). This parameter p itself varies from person to person, and this variation is modelled by a beta distribution.
As being a "non-standard" problem and analysis, I suggest you seek help from a local statistician.
A crude workaround would be to claculate the proportions (organic:non-organic) for each person, logit-transform these values and use a t-test with weights proportional to the total number of selected items per person.
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