Statistical test for proportions (values' range: 0-1)

#1
I am trying to compare mass spec data from 3 different conditions. For each protein I detected in my samples I have 3 values/condition (from 3 different experiments; see attachment). So, I want to compared these values, that are proportions that range from 0 to 1 (both included), and see if the values for each protein are different among groups.
So, I initially tried to do ANOVA but for some proteins the 3 values in one specific condition is 0, so I get error in the calculation.
I google different specific tests to analyze "proportions", but must of them deal with binomial data.
I need to do massive test in thousand of different proteins.
Any suggestion?
Thank you in advance